From ecd482fc588d41a0d96334ab2c0df636f656d47f Mon Sep 17 00:00:00 2001
From: Stevedan Ogochukwu Omodolor <stevedan.o.omodolor@gmail.com>
Date: Thu, 2 Jun 2022 15:56:24 +0200
Subject: [PATCH] working

---
 .../matlab_files/potential_function_plot.asv  |   27 +-
 .../matlab_files/potential_function_plot.m    |   31 +-
 .../scripts/model_ugv_data.py                 |    1 +
 simulation/controller/SwamControllerAlg.asv   |  460 +++
 simulation/controller/SwamControllerAlg.m     |   32 +-
 simulation/formation_tests/main_only_drones.m |   18 +-
 .../drone_modelling_vx_vy_second_order.mlx    |  Bin 337826 -> 502949 bytes
 simulation/simulation_results/test_17/.fig    |  Bin 0 -> 563772 bytes
 simulation/simulation_results/test_17/1.fig   |  Bin 3215413 -> 563772 bytes
 simulation/simulation_results/test_17/2.fig   |  Bin 397436 -> 86177 bytes
 simulation/simulation_results/test_17/3.fig   |  Bin 448634 -> 145486 bytes
 simulation/simulation_results/test_17/4.fig   |  Bin 829262 -> 168841 bytes
 simulation/simulation_results/test_17/5.fig   |  Bin 891710 -> 214875 bytes
 simulation/simulation_results/test_17/6.fig   |  Bin 802747 -> 118712 bytes
 simulation/simulation_results/test_17/7.fig   |  Bin 397436 -> 563772 bytes
 .../simulation_results/test_17/not_a_test.csv |  503 +++
 .../simulation_results/test_17/test_17.csv    | 3438 +++--------------
 17 files changed, 1540 insertions(+), 2970 deletions(-)
 create mode 100644 real_robot/coordination_formation_control_pkg/scripts/model_ugv_data.py
 create mode 100644 simulation/controller/SwamControllerAlg.asv
 create mode 100644 simulation/simulation_results/test_17/.fig
 create mode 100644 simulation/simulation_results/test_17/not_a_test.csv

diff --git a/controller_test_drone_modeling/matlab_files/potential_function_plot.asv b/controller_test_drone_modeling/matlab_files/potential_function_plot.asv
index 18b350a..d19f986 100644
--- a/controller_test_drone_modeling/matlab_files/potential_function_plot.asv
+++ b/controller_test_drone_modeling/matlab_files/potential_function_plot.asv
@@ -1,6 +1,6 @@
 %% Plot the potential function between two interagent uav with distance from 0 to 25m 
 clear, close all
-di = 0:0.01:3; % Interagent distance vector in m
+di = 0:0.1:3; % Interagent distance vector in m
 s = size(di,2);
 
 q1 = zeros(s,2); % position of the first agent
@@ -19,12 +19,12 @@ end
 param.eps = 0.1; % computation of the norm
 param.a = 1; %computation of the fi sigmoidal function
 param.b = 1; %computation of the fi sigmoidal function
-param.h = 0.2; % for the bumper function 
+param.h = 0.05; % for the bumper function 
 
 
 V = zeros(s,1); % potential function 
 param.d = 1.5; % desired distance 
-param.c =  2;% cutoff distance 
+param.c =  2.5;% cutoff distance 
 
 num_agent = 2;
 
@@ -33,20 +33,29 @@ Q = [];
 for i = 1:s
     Q = [];
     Q = [q1(1,:); q2(i,:)];
-    psi_alpha = compute_psi_alpha(Q(p,:),Q(j,:),param) ; 
+    psi_alpha = 0;
+    psi_alpha = psi_alpha + compute_psi_alpha(param.c*[0;1],[0;0],param, param.d);
 
 %     for j = 1:num_agent
-%         psi_alpha = 0;
 %         for p = 1:num_agent
 %             if p ~= j
-%                 psi_alpha = psi_alpha + compute_psi_alpha(Q(p,:),Q(j,:),param) ; 
+%                 if norm(Q(p,:) -Q(j,:)) < param.c
+%                 psi_alpha = psi_alpha + compute_psi_alpha(Q(p,:),Q(j,:),param, param.d) ; 
+%                 else 
+%                  psi_alpha = psi_alpha + compute_psi_alpha(param.c*[0;1],[0;0],param, param.d);
+%                 disp("HEre")
+%                 end
+%                 
 %             end
 %         end
-%         V(i) = V(i)+psi_alpha;
-%     end
-    V(i) = 0.5*psi_alpha;
+    end
+    V(i) = psi_alpha;
 end
+%%
 
 figure
 plot(di,V)
+title("Potential between two agent with distance from 0 to 3m, desired distance: 1.5 finite cut off at 2.5 m")
+ylabel("V(q)")
+xlabel("inter-agent distance(m)")
 
diff --git a/controller_test_drone_modeling/matlab_files/potential_function_plot.m b/controller_test_drone_modeling/matlab_files/potential_function_plot.m
index 906c79a..d52db69 100644
--- a/controller_test_drone_modeling/matlab_files/potential_function_plot.m
+++ b/controller_test_drone_modeling/matlab_files/potential_function_plot.m
@@ -34,20 +34,23 @@ for i = 1:s
     Q = [];
     Q = [q1(1,:); q2(i,:)];
     psi_alpha = 0;
-    for j = 1:num_agent
-        for p = 1:num_agent
-            if p ~= j
-                if norm(Q(p,:) -Q(j,:)) < param.c
-                psi_alpha = psi_alpha + compute_psi_alpha(Q(p,:),Q(j,:),param, param.d) ; 
-                else 
-                 psi_alpha = psi_alpha + compute_psi_alpha(param.c*[0;1],[0;0],param, param.d);
-                disp("HEre")
-                end
-                
-            end
-        end
-    end
-    V(i) = 0.5*psi_alpha;
+%     q2(i,:)
+    psi_alpha = compute_psi_alpha(q2(i,:),[0;0],param, param.d);
+
+%     for j = 1:num_agent
+%         for p = 1:num_agent
+%             if p ~= j
+%                 if norm(Q(p,:) -Q(j,:)) < param.c
+%                 psi_alpha = psi_alpha + compute_psi_alpha(Q(p,:),Q(j,:),param, param.d) ; 
+%                 else 
+%                  psi_alpha = psi_alpha + compute_psi_alpha(param.c*[0;1],[0;0],param, param.d);
+%                 disp("HEre")
+%                 end
+%                 
+%             end
+%         end
+%     end
+    V(i) = psi_alpha;
 end
 %%
 
diff --git a/real_robot/coordination_formation_control_pkg/scripts/model_ugv_data.py b/real_robot/coordination_formation_control_pkg/scripts/model_ugv_data.py
new file mode 100644
index 0000000..4265cc3
--- /dev/null
+++ b/real_robot/coordination_formation_control_pkg/scripts/model_ugv_data.py
@@ -0,0 +1 @@
+#!/usr/bin/env python
diff --git a/simulation/controller/SwamControllerAlg.asv b/simulation/controller/SwamControllerAlg.asv
new file mode 100644
index 0000000..28851af
--- /dev/null
+++ b/simulation/controller/SwamControllerAlg.asv
@@ -0,0 +1,460 @@
+classdef SwamControllerAlg 
+    properties
+        formation_param % information on paramters
+        gain_param % struct gains c1 c2 for alpha(agent) c1 c2(obstacle) c1 c2(gamma)
+        indx %position of the robot in the distance matrix
+        integral_error % store the integrator
+        previous_error % store for integral control
+
+
+    end
+
+    properties (Access = private)
+        robot_size  %impose robot safety circle diameter
+        id % to indxentify the robot
+    end
+
+    properties (Constant)
+        safe_distance = 0.15 % safety distance around the robot in
+    end
+
+
+    methods
+        % -- constructor
+        function thisSwamControllerAlg = SwamControllerAlg(robot_size, id,indx,form_param, gains)
+            % Important, this computation is valindx for 2d positions, 3d not
+            % included
+            thisSwamControllerAlg.robot_size = robot_size+thisSwamControllerAlg.safe_distance;
+            thisSwamControllerAlg.indx = indx;
+            thisSwamControllerAlg.id = id;
+            thisSwamControllerAlg.gain_param  =  gains;
+            thisSwamControllerAlg.integral_error = [0;0];
+            thisSwamControllerAlg.previous_error = [0;0];
+
+            % recompute c2 gain to ensure the following conditions
+            %c1_apha < c1_gamma< c1_beta
+            if false %gains.c1_alpha > gains.c1_gamma || gains.c1_gamma > gains.c1_beta
+                error("Gain conditions not meet: c1_alpha < c1_gamma < c1_beta");
+            end
+            % recompute c2  gain based on the following equation c2 =
+            % c1_gamma = s*sqrt(c) based on original paper
+            thisSwamControllerAlg.formation_param = form_param;
+            % ensure 0 < a < b is met
+            if (0 > form_param.a) && (form_param.a >form_param.b)
+                error('Error. 0 < a <= b not met');
+
+            end
+            % safety
+            if form_param.nav_type <= 0 || form_param.nav_type >2
+                error("Navigational_type should be 1-converge approach or 2 - parallel approach");
+            end
+            if form_param.nav_type ~= 2
+                thisSwamControllerAlg.gain_param.c2_alpha = 2*sqrt(thisSwamControllerAlg.gain_param.c1_alpha);
+                thisSwamControllerAlg.gain_param.c2_beta = 2*sqrt(thisSwamControllerAlg.gain_param.c1_beta);
+                thisSwamControllerAlg.gain_param.c2_gamma = 2*sqrt(thisSwamControllerAlg.gain_param.c1_gamma); 
+            end
+            % formation
+            thisSwamControllerAlg.formation_param.r = form_param.k*form_param.dist; % Neighbourhood distance
+
+
+            % obstacle avoindxance parameters
+            thisSwamControllerAlg.formation_param.d_obs = form_param.ratio*form_param.dist;
+            thisSwamControllerAlg.formation_param.r_obs = form_param.k*thisSwamControllerAlg.formation_param.d_obs;
+            if thisSwamControllerAlg.formation_param.d_obs < thisSwamControllerAlg.robot_size/2
+                error("Minimum distance to obstacle is too low and can be dangerous, increase d/d_ob ratio");
+            end
+
+
+            % perform some formation configuration;
+            thisSwamControllerAlg = thisSwamControllerAlg.configureFormation();
+            disp("Robot: "  + id + " Initialized");
+
+
+        end
+        % -- Function responsible forcreating the formation parameters
+        function thisSwamControllerAlg = configureFormation(thisSwamControllerAlg)
+            % ensure distance is more thatn robot safe area
+            dist = thisSwamControllerAlg.formation_param.dist;
+            form_t = thisSwamControllerAlg.formation_param.type;
+            if dist < (thisSwamControllerAlg.robot_size/2)
+                error("Distance between robot will result in collision minimum radius distance: " + thisSwamControllerAlg.robot_size/2);
+            end
+
+            % formation configuration
+            if form_t == 2
+                % 2 man formation following
+                thisSwamControllerAlg.formation_param.iad = [0,dist;    %interagent distance
+                    dist,0];
+                thisSwamControllerAlg.formation_param.N = 2; % number of agent
+                thisSwamControllerAlg.formation_param.node_names = {'d1','d2'};
+
+
+
+            elseif form_t == 3 % triangular formation
+                thisSwamControllerAlg.formation_param.iad = [0,dist, dist;    %interagent distance
+                    dist, 0, dist;
+                    dist, dist, 0];
+                thisSwamControllerAlg.formation_param.N = 3; % number of agent
+                thisSwamControllerAlg.formation_param.node_names = {'d1','d2','d3'};
+
+            elseif form_t == 4 % square formation
+                h = sqrt(2*dist*dist); % diagonal distance
+                thisSwamControllerAlg.formation_param.iad = [0,dist, h, dist;    %interagent distance
+                    dist, 0,dist, h;
+                    h,dist,0,dist;
+                    dist,h, dist,0];
+                thisSwamControllerAlg.formation_param.N = 4; % number of agent
+                thisSwamControllerAlg.formation_param.node_names = {'d1','d2','d3','d4'};
+
+
+            elseif form_t == 5 % pentagon formation
+                h = dist + 2*dist*cos(deg2rad(72)); %diagonal distance
+                thisSwamControllerAlg.formation_param.iad = [0,dist,h,h,dist;    %interagent distance
+                    dist, 0, dist,h,h;
+                    h,dist,0,dist, h;
+                    h,h,dist,0,dist;
+                    dist,h,h,dist,0];
+                thisSwamControllerAlg.formation_param.N = 5; % number of agent
+                thisSwamControllerAlg.formation_param.node_names = {'d1','d2','d3','d4','d5'};
+
+            else
+                error("Wrong formation type: triangle:1 square:2 pentagon: 3");
+            end
+            disp("Interagent distance matrix: ");
+            disp(thisSwamControllerAlg.formation_param.iad);
+        end
+
+        % -- display formation
+        function showFormation(thisSwamControllerAlg)
+            figure
+            if thisSwamControllerAlg.formation_param.type > 2
+            pgon1 = nsindxedpoly(thisSwamControllerAlg.formation_param.N,'Center',[0 0],'SindxeLength',thisSwamControllerAlg.formation_param.dist);
+            plot(pgon1)
+            for i =1:thisSwamControllerAlg.formation_param.N
+                text(pgon1.Vertices(i,1),pgon1.Vertices(i,2),"d" + string(i));
+
+            end
+            elseif  thisSwamControllerAlg.formation_param.type == 2
+                plot([0; thisSwamControllerAlg.formation_param.dist], [0,0])
+                text(0,0,"d1")
+                text(thisSwamControllerAlg.formation_param.dist,0,"d2")
+
+            end
+%             axis equal
+
+        end
+
+        % -- main controller
+        function [input, input_vec,q_obs_vector] = controller(thisSwamControllerAlg,q,p,ref,ob, ori, cooperation)
+            % q is the current position of each of the drone- column vector
+            % p is the current velocitu of each of the drones
+            % ob is the current position of the obstacles [x,y,r]
+            % orientatoin in degs
+            if size(q,1) > 2
+                error("Controller is intended for 2d plane, not 3d, send x y inputs");
+            end
+
+            % ----- formation computation
+            q_rf = q'; % convert to row format
+            [ind,dist] = knnsearch(q_rf,q_rf(thisSwamControllerAlg.indx,:),"K",thisSwamControllerAlg.formation_param.N);
+            I = find(dist <= thisSwamControllerAlg.formation_param.r);
+            if size(I,2) == 1 % only robot % dangerours because in real world the position can be different for the same robot, do not implement this in the real robot
+                warning("Robot does not seem to have any neighbour, make sure this was done intentionally"); % TODO implement better logging
+            end
+            N_agent = ind(1,1:size(I,2));% agent neigbours
+            s_Na = size(N_agent,2);
+            u_formation = [0;0];
+            grad_term = [0;0];
+            cons_term = [0;0];
+            deriv_term = [0;0];
+            a = thisSwamControllerAlg.formation_param.a;
+            b = thisSwamControllerAlg.formation_param.b;
+            h_alpha = thisSwamControllerAlg.formation_param.h_alpha;
+            eps = thisSwamControllerAlg.formation_param.eps;
+            r = thisSwamControllerAlg.formation_param.r;
+            qi =  q(:,thisSwamControllerAlg.indx);
+            pi_ = p(:,thisSwamControllerAlg.indx);
+
+
+
+            for i = 1: s_Na
+                if N_agent(i) ~= thisSwamControllerAlg.indx % only for neigbours
+                    qj = q(:,N_agent(i));
+                    pj = p(:,N_agent(i));
+                    if cooperation == 1
+                    d = thisSwamControllerAlg.formation_param.iad(thisSwamControllerAlg.indx,N_agent(i));
+                    else
+                    d = thisSwamControllerAlg.formation_param.follow_dist;
+                    end
+                    % gradient term
+                    fi = thisSwamControllerAlg.computeFi(qj,qi,a,b,h_alpha,eps,r,d);
+                    nij = SwamControllerAlg.computeNij(qj,qi, eps);
+                    grad_term = grad_term + fi*nij;
+                    % consesus term
+                    if thisSwamControllerAlg.formation_param.integrator == 2
+                        aij = SwamControllerAlg.computeAij(qj,qi,r,eps,h_alpha);
+                        cons_term = cons_term +aij*(pj-pi_);
+
+                        deriv_term = deriv_term + aij*(qj-qi);
+
+                    end
+                     
+            
+                end
+
+            end
+            error_grad_term = grad_term;
+            u_formation = grad_term*thisSwamControllerAlg.gain_param.c1_alpha + cons_term*thisSwamControllerAlg.gain_param.c2_alpha;
+            % obstacle formation
+            % TODO current implementation only consindxers circular
+            % Todo plot gradient and potencial
+            % obstacles, include hyperplane
+
+            if isempty(ob)
+                u_obstacle = [0;0];
+                q_obs_vector = [0;0];
+
+            else
+                % compute position and velocity of obstacles
+                % projection of agent onto obstacle
+                ob_s = size(ob,2);
+                r_obs = thisSwamControllerAlg.formation_param.r_obs;
+                d_obs = thisSwamControllerAlg.formation_param.d_obs;
+                h_beta = thisSwamControllerAlg.formation_param.h_beta;
+
+                %                 q_hat = zeros(2,ob_s); % positions of all the obstables
+                %                 p_hat = zeros(2,ob_s); % velocities of all the obstacles
+                %                 N_beta = [];
+                q_obs_vector = zeros(2,ob_s);
+                    grad_term_obs = [0;0];
+                    cons_term_obs = [0;0];
+                    nav_term_obs = [0;0];
+                for o = 1:ob_s
+                    yk = ob(1:2,o); % center of obstacle
+                    Rk = ob(3,o); % radius of obstacle
+                    mu = Rk/norm(qi-yk);
+                    ak = (qi-yk)/norm(qi-yk);
+                    a__ = ak*ak';
+                    sa = size(a__,1);
+                    P = eye(sa)- a__;
+                    q_hat_i = mu*qi + (1-mu)*yk;
+                    p_hat_i = mu *P*pi_;
+                  
+%                     qi = thisSwamControllerAlg.indx;
+%    if thisSwamControllerAlg.indx == 1
+%                     disp("Here");
+%                 end
+                    d2obs = norm(qi- q_hat_i);
+                    q_obs_vector(:,o) = q_hat_i;
+                    if d2obs < r_obs %Neighbourhood obstacles of agent
+                        % gradient term
+                        fi_beta = SwamControllerAlg.computeFiB(q_hat_i,qi,h_beta,d_obs,eps);
+                        nij = SwamControllerAlg.computeNij(q_hat_i,qi, eps);
+                        grad_term_obs = grad_term_obs + fi_beta*nij;
+                        % consesus term
+                        if thisSwamControllerAlg.formation_param.integrator == 2
+
+                            bij = SwamControllerAlg.computeBij(q_hat_i,qi,d_obs,eps, h_beta);
+                            cons_term_obs = cons_term_obs +bij*(p_hat_i-pi_);
+                        end
+% 
+%                          nav_term_obs = nav_term_obs -thisSwamControllerAlg.gain_param.c1_gamma*(SwamControllerAlg.sigmaOne(q_hat_i-ref.q))- ...
+%                         thisSwamControllerAlg.gain_param.c2_gamma*(p_hat_i-ref.p);
+                    end
+                end
+%              
+                u_obstacle = thisSwamControllerAlg.gain_param.c1_beta* grad_term_obs ...
+                    +thisSwamControllerAlg.gain_param.c2_beta*cons_term_obs;
+
+            end
+
+            % navigational term
+            % TODO: implement wait until formation potential has reach a
+            % threshold
+            u_navigation = [0;0];
+            if cooperation == 1
+                if thisSwamControllerAlg.formation_param.nav_type == 1
+                    % convergence approach
+                    u_navigation = -thisSwamControllerAlg.gain_param.c1_gamma*(SwamControllerAlg.sigmaOne(qi-ref.q))- ...
+                        thisSwamControllerAlg.gain_param.c2_gamma*(pi_-ref.p);
+                else
+                    %parallel approach
+                    % compute the centroindx info
+                    mean_q = [mean(q(1,:)); mean(q(2,:))];
+                    mean_p = [mean(p(1,:)); mean(p(2,:))];
+    
+                    u_navigation = -thisSwamControllerAlg.gain_param.c1_gamma*(SwamControllerAlg.sigmaOne((mean_q-ref.q)))- ...
+                        thisSwamControllerAlg.gain_param.c2_gamma*(mean_p-ref.p);
+%                     u_navigation = sat_func(u_navigation,0.05);
+     
+                
+                end
+            end
+
+
+            % orientation term
+            % compute the centroindx vector
+            u_orientation = [0;0];
+            if ~isempty(ori)
+                    desired_angle = deg2rad(ori);
+                    % convert to 3d
+                    desired_vector = [cos(desired_angle); sin(desired_angle);0];
+                    if cooperation == 1
+                    q_centroid = [mean(q,2);0];
+                    q_leader = [q(:,1);0];
+                    else
+                        q_centroid = [q(:,1);0];
+                        q_leader = [q(:,2);0];
+
+                    end
+                    dlc = norm(q_leader-q_centroid); % distance from centroid to leader drone
+                    lcv = q_leader-q_centroid; % vector from centroid to leader
+                    dcv = dlc*desired_vector; % vector from centroid to desired final pose of leader
+                    acl =atan2(lcv(2), lcv(1));%angle of vector from centroid to leadership dron 
+                    acc = atan2(dcv(2), dcv(1)); % angle of vector from fron centroid to final drone pose
+                    if cooperation == 2
+                        acl =atan(lcv(2)/ lcv(1));%angle of vector from centroid to leadership dron 
+                        acc = atan(dcv(2)/dcv(1)); % angle of vector from fron centroid to final drone pose
+                    end
+                    alpha = acc-acl;%angle between vector lcv and dcv
+                    disp()
+                    % ---- We want to compute the rotational acceleration
+                    % direction
+                    q_hat = [q(:,thisSwamControllerAlg.indx); 0];% current drone pose
+                    cq_hat = q_hat - q_centroid;% vector from centroid to current drone
+                    rot_d =cross(cq_hat, [0,0,-alpha]) ; %rotaiton direction
+
+                    if norm(rot_d) == 0
+                        rot_d = [0;0];
+                    else
+                    rot_d = rot_d/norm(rot_d); % convert to unit vecor; 
+                    end
+                    u_orientation = thisSwamControllerAlg.gain_param.c1_theta*abs(alpha)*[rot_d(1);rot_d(2)];
+           %% try sun phd controller controller 
+           % we assume agent 1 and 2 are the orientation agents
+%            if (thisSwamControllerAlg.indx == 1) || (thisSwamControllerAlg.indx == 2)
+%                % compute the current vector from agent 1 to agent 2
+%                % we normalize it 
+%                 if thisSwamControllerAlg.indx == 1
+%                     q1_o = q(:,1);
+%                     q2_o = q(:,2);
+%                     ang = 1;
+%                 else 
+%                     q2_o = q(:,1);
+%                     q1_o = q(:,2);
+%                     ang = -1;
+%                 end
+%                 % relative position
+%                  A12_ = q2_o - q1_o;
+%                  % desired relatic position angle is assume to be from q1
+%                  % to q2                 
+%                  dA12_ = ang *norm(A12_)* [cos(deg2rad(desired_angle));sin(deg2rad(desired_angle)) ];
+% 
+%                
+%                 u_orientation = thisSwamControllerAlg.gain_param.c1_theta*( A12_ - dA12_);
+% 
+%            else
+%                u_orientation = [0;0];
+% 
+%             
+%            end
+            end
+
+            % integral controld
+            % error obtained from the formation gradient term
+            thisSwamControllerAlg.integral_error = thisSwamControllerAlg.integral_error + error_grad_term*thisSwamControllerAlg.formation_param.dt;
+            % saturate error to prevent anti-winup
+%             thisSwamControllerAlg.integral_error = sat_func( thisSwamControllerAlg.integral_error, thisSwamControllerAlg.formation_param.int_max);
+            u_integral = thisSwamControllerAlg.gain_param.c1_delta * thisSwamControllerAlg.integral_error; % + deriv_term*thisSwamControllerAlg.gain_param.c2_delta;
+%             u_derivative = ((error_grad_term-previous_error)/ thisSwamControllerAlg.formation_param.dt)*thisSwamControllerAlg.gain_param.c3_delta;
+%             thisSwamControllerAlg.previous_error = error_grad_term;
+%                 ce = error_grad_term;
+
+            input = u_formation + u_obstacle + u_navigation+u_orientation + u_integral+ 0;
+            input_vec = [u_formation,u_obstacle,u_navigation,u_orientation,u_integral]; % debug purposes
+%             potential = [potential_formation,potential_obstacle, potential_navigation, potential_orietation];
+        end
+
+    end
+    methods (Static)
+
+        % - computes the sigma norm of a vector
+        function out = computeSigmaNorm(z,eps)
+            n = norm(z);
+            out = (1/eps)*((sqrt(1+eps*n*n))-1);
+        end
+        % compute the fi alpha function
+        function out = computeFi(qj,qi,a,b,h,eps,r,d)
+            % qj is the neighbour
+            % qi is the drone itself
+            % sigma norms of the error-cut off radius- desired distance
+            z_sn = SwamControllerAlg.computeSigmaNorm((qj-qi), eps); % this can be done outsindxe the function
+            r_sn = SwamControllerAlg.computeSigmaNorm(r, eps);
+            d_sn = SwamControllerAlg.computeSigmaNorm(d, eps);
+            out = SwamControllerAlg.ph(z_sn/r_sn,h) * SwamControllerAlg.fi(a,b,(z_sn-d_sn));
+        end
+
+
+        % - computes the fi function
+        function out = fi( a,b,z)
+            c = abs(a-b)/sqrt(4*a*b);
+            out = 0.5 * (((a+b)*SwamControllerAlg.sigmaOne(z+c)) + (a-b));
+        end
+
+        % - computes the ph bumper function
+        function out = ph(z, h)
+            % the bumper function maps R+ to [0,1]
+            if max(size(z)) > 1
+                error("Bumper function: value must be scalar")
+            end
+            if( z >= 0) && ( z<h)
+                out = 1;
+            elseif (z >= h) && (z<=1)
+                out = 0.5*(1+cos(pi*(z-h)/(1-h)));
+            else
+                out = 0;
+            end
+
+        end
+
+        % computes the sigma1
+        function out = sigmaOne(z)
+            n = norm(z);
+            out = z/sqrt(1+(n*n));
+        end
+
+        % --- compute nij function neighbourhood function
+        function out = computeNij(qj,qi, eps)
+            % qj is the neighbour
+            % qi is the drone itself
+            z = qj -qi;
+            n = norm(z);
+            out = z/sqrt(1+(eps*n*n));
+
+
+        end
+
+        % -- compute the adjency matrix element
+        function out = computeAij(qj,qi,r,eps,h)
+            z_sn = SwamControllerAlg.computeSigmaNorm(qj-qi, eps);
+            r_sn = SwamControllerAlg.computeSigmaNorm(r,eps);
+            out = SwamControllerAlg.ph(z_sn/r_sn,h);
+        end
+
+        % -- helper function for obstacle
+        % damping function
+        function out = computeFiB(qj,qi,h_beta,d_obs,eps)
+            z_sn = SwamControllerAlg.computeSigmaNorm(qj-qi,eps);
+            d_obs_sn = SwamControllerAlg.computeSigmaNorm(d_obs,eps);
+            out = SwamControllerAlg.ph(z_sn/d_obs_sn,h_beta) * (SwamControllerAlg.sigmaOne(z_sn-d_obs_sn)-1);
+        end
+        function out = computeBij(qj,qi,d_obs,eps, h)
+            z_sn = SwamControllerAlg.computeSigmaNorm(qj-qi,eps);
+            d_obs_sn = SwamControllerAlg.computeSigmaNorm(d_obs,eps);
+            out = SwamControllerAlg.ph(z_sn/d_obs_sn,h);
+        end
+    end
+
+end
+
+
diff --git a/simulation/controller/SwamControllerAlg.m b/simulation/controller/SwamControllerAlg.m
index de6d310..9b9f162 100644
--- a/simulation/controller/SwamControllerAlg.m
+++ b/simulation/controller/SwamControllerAlg.m
@@ -321,14 +321,42 @@ classdef SwamControllerAlg
                     % direction
                     q_hat = [q(:,thisSwamControllerAlg.indx); 0];% current drone pose
                     cq_hat = q_hat - q_centroid;% vector from centroid to current drone
-                    rot_d =cross(cq_hat, [0,0,-alpha]) ; %rotaiton direction
+                    rot_d =cross(cq_hat, [0,0,alpha]) ; %rotaiton direction
 
                     if norm(rot_d) == 0
                         rot_d = [0;0];
                     else
                     rot_d = rot_d/norm(rot_d); % convert to unit vecor; 
                     end
-                    u_orientation = thisSwamControllerAlg.gain_param.c1_theta*abs(alpha)*[rot_d(1);rot_d(2)];
+                    u_orientation = thisSwamControllerAlg.gain_param.c1_theta*(alpha)*[rot_d(1);rot_d(2)];
+           %% try sun phd controller controller 
+           % we assume agent 1 and 2 are the orientation agents
+%            if (thisSwamControllerAlg.indx == 1) || (thisSwamControllerAlg.indx == 2)
+%                % compute the current vector from agent 1 to agent 2
+%                % we normalize it 
+%                 if thisSwamControllerAlg.indx == 1
+%                     q1_o = q(:,1);
+%                     q2_o = q(:,2);
+%                     ang = 1;
+%                 else 
+%                     q2_o = q(:,1);
+%                     q1_o = q(:,2);
+%                     ang = -1;
+%                 end
+%                 % relative position
+%                  A12_ = q2_o - q1_o;
+%                  % desired relatic position angle is assume to be from q1
+%                  % to q2                 
+%                  dA12_ = ang *norm(A12_)* [cos(deg2rad(desired_angle));sin(deg2rad(desired_angle)) ];
+% 
+%                
+%                 u_orientation = thisSwamControllerAlg.gain_param.c1_theta*( A12_ - dA12_);
+% 
+%            else
+%                u_orientation = [0;0];
+% 
+%             
+%            end
             end
 
             % integral controld
diff --git a/simulation/formation_tests/main_only_drones.m b/simulation/formation_tests/main_only_drones.m
index 1a6c8f4..0637978 100644
--- a/simulation/formation_tests/main_only_drones.m
+++ b/simulation/formation_tests/main_only_drones.m
@@ -12,8 +12,8 @@ n_robots = n_agv + n_ugv;
 agv_size = 0.15;
 ugv_size = 0.32;
 N = 2; % working in 2d plane
-file_path = '~/masters_thesis_stevedan/masters-thesis/code/control/simulation/simulation_results/test_17/';
-file_name = 'test_17';
+file_path = '/home/spot/masters_thesis_stevedan/formation_coordination_uav_ugv/simulation/simulation_results/test_17/';
+file_name = 'not_a_test';
 
 %% configuration robot model
 % load the models
@@ -31,7 +31,7 @@ clear agv_models ugv_models
 free_space = 1;
 split_rejoin = 2;
 obs_pos = [];
-E1 = EnironmentSetupSimulation(split_rejoin, obs_pos);
+E1 = EnironmentSetupSimulation(free_space, obs_pos);
 obs_pos = E1.obstacle_matrix;
 [fig_live_plot, ax_live_plot] = E1.showEnvironment;
 leader = 1;
@@ -60,7 +60,7 @@ controller_gains.c1_beta = 0.3;
 controller_gains.c2_beta = 1;
 controller_gains.c1_gamma = 0.25;
 controller_gains.c2_gamma = 0.01;
-controller_gains.c1_theta = 0.25;
+controller_gains.c1_theta = 0.1;
 controller_gains.c1_delta = 0.09;
 controller_gains.c2_delta = 0.0;
 controller_gains.c3_delta = 0.00;
@@ -124,13 +124,13 @@ end
 buffer_size = 100;
 wp.buffer = ones(1,buffer_size);
 wp.previous = 0;
-desired_orientation = [];
+desired_orientation = 0;
 
-wp.pose = E1.ref_waypoints;
+wp.pose = mean(q_agv,2);
 wp.ind = 1;
 wp.size = size(wp.pose,2);
 ref.q =  wp.pose(:,1);
-ref.p = [0.1;0];
+ref.p = [0.0;0];
 t = 0;
 stop_test = false;
 % Log intial data
@@ -188,14 +188,14 @@ while ~stop_test
             error =  (norm(centroid -ref.q));
             wp.buffer = [wp.buffer(2:end), error];
 %             mean(wp.buffer)
-            if counter > 0 % wait for seconds more mean(wp.buffer) < 0.1
+            if stop_test % wait for seconds more mean(wp.buffer) < 0.1
                 % stop all agv
                 for r = 1:n_agv
                     swam_agv(r).stop_robot;
                 end
 %                 stop_test = true;
             end
-            if counter > 5
+            if counter > 15
                 stop_test = true;
             end
         else
diff --git a/simulation/models/drone_modelling_vx_vy_second_order.mlx b/simulation/models/drone_modelling_vx_vy_second_order.mlx
index 20e48bdeda1d0fde567dd5a41b0954e9ae6bc6ed..0f141c457c124c9dc02455f7978a2e0770b24684 100644
GIT binary patch
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diff --git a/simulation/simulation_results/test_17/2.fig b/simulation/simulation_results/test_17/2.fig
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diff --git a/simulation/simulation_results/test_17/3.fig b/simulation/simulation_results/test_17/3.fig
index 362f44f15b2a2fc8537127f176e703a07a7a669e..983303d7c61150e1926ae082dc880cb4909b98cc 100644
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diff --git a/simulation/simulation_results/test_17/4.fig b/simulation/simulation_results/test_17/4.fig
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diff --git a/simulation/simulation_results/test_17/5.fig b/simulation/simulation_results/test_17/5.fig
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diff --git a/simulation/simulation_results/test_17/6.fig b/simulation/simulation_results/test_17/6.fig
index 9e5f07c8424b2b5d0fbf6ffa657d2bb9f2139be7..7416cb9f69cc15a28d975b4982b4be772eccab99 100644
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diff --git a/simulation/simulation_results/test_17/7.fig b/simulation/simulation_results/test_17/7.fig
index 84587e08e7938e3165395df1f49a782b3941b0fb..72c0b99ff827fa99d3a454298cc4843fadb40544 100644
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diff --git a/simulation/simulation_results/test_17/not_a_test.csv b/simulation/simulation_results/test_17/not_a_test.csv
new file mode 100644
index 0000000..d424c8e
--- /dev/null
+++ b/simulation/simulation_results/test_17/not_a_test.csv
@@ -0,0 +1,503 @@
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diff --git a/simulation/simulation_results/test_17/test_17.csv b/simulation/simulation_results/test_17/test_17.csv
index 5ac1d69..1f81046 100644
--- a/simulation/simulation_results/test_17/test_17.csv
+++ b/simulation/simulation_results/test_17/test_17.csv
@@ -1,2937 +1,503 @@
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