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2 Commits
9a41c6688d
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b95e3f86b7
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b95e3f86b7 | |
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4a5f9a733b |
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@ -1,72 +0,0 @@
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close all;clc;clear
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file = [];
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opt.robot_def = 'direct';
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opt.KM_method = 'MDH';
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opt.Vel_method = 'Direct';
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opt.LD_method = 'Direct';
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opt.debug = true;
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opt.robotName = 'R1000';
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opt.Isreal = true;
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robot = get_robot_R1000(file,opt);
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% robot.theta = [1,1,0];
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%TODO verify kinematics via robotics toolbox or other software result
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com_pos_R1(:,1)=[9.7435250e+01 8.3517655e-01 1.2246547e+02]'*10^-3;
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com_pos_R2(:,1)=[-1.0040117e+02 -9.4164823e+01 -3.4522260e+01]'*10^-3;
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com_pos_R1(:,2)=[3.7345395e+02 -5.5328829e+01 -4.4313141e-02]'*10^-3;
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com_pos_R2(:,2)=[ -1.2654643e+02 9.6371171e+01 -4.4094190e-02]'*10^-3;
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com_pos_R1(:,3)=[1.8811711e+02 -7.9651429e+00 -4.9225523e-04 ]'*10^-3;
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com_pos_R2(:,3)=[-2.6188289e+02 2.8348571e+00 -4.9225523e-04 ]'*10^-3;
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com_pos_R1(:,4)=[ 5.4048685e+01 5.8463901e+01 -5.0915631e+00 ]'*10^-3;
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com_pos_R2(:,4)=[ -6.5951315e+01 -9.0360991e+00 5.2908437e+01]'*10^-3;
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com_pos_R1(:,5)=[1.3028528e+02 4.8953539e-02 4.6198421e+01]'*10^-3;
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com_pos_R2(:,5)=[-9.5814715e+01 4.8953539e-02 -1.2301579e+01 ]'*10^-3;
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com_pos_R1(:,6)=[4.9059639e+01 5.9928547e-02 -2.8858572e+01]'*10^-3;
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com_pos_R2(:,6)=[-4.7403608e+00 5.9928547e-02 6.2741428e+01]'*10^-3;
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com_pos_R1(:,7)=[2.3210318e-02 -9.5031144e+00 -1.0242124e+02]'*10^-3;
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com_pos_R2(:,7)=[2.3210318e-02 -9.5031144e+00 2.0257876e+02 ]'*10^-3;
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com_pos_R1(:,8)=[-3.6571935e+01 -3.6282658e-01 -4.7124267e+01]'*10^-3;
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com_pos_R2(:,8)=[2.2355855e+02 -3.6281380e-01 1.4875409e+01]'*10^-3; % don't use
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com_pos_R1(:,9)=[-9.6776846e-02 1.4179201e-01 -3.4242667e+01]'*10^-3;
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% Get 3D coordinate of CO
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co=[]
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for i = 1:8
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if i == 1
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co(:,i) = com_pos_R1(:,i)-com_pos_R2(:,i);
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elseif i<8
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%From base to ISA Origin
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co(:,i) = co(:,i-1)+com_pos_R1(:,i)-com_pos_R2(:,i);
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else
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%From base to ISA Origin
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co(:,i) = co(:,i-1)-[0;0;0.05896];
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end
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end
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co = [zeros(3,1),co];
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% temp slist
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robot.slist=[[0;0;1;0;0;0],...
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[0;-1;0;cross(-[0;-1;0],[0.2;0;0])]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5;0;0])]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45;0;0])]...
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[0;0;1;cross(-[0;0;1],[0.2+0.5+0.45+0.12;0;0])]...
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[1;0;0;cross(-[1;0;0],[0.2+0.5+0.45+0.12+0.28;0;0])]...
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[0;0;-1;cross(-[0;0;-1],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
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[0;0;0;1;0;0]];
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robot.slist(4:6,:) = co;
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robot.Home = [0;0;-1];
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robot.alpha = [0,pi/2,0,0,-pi/2,-pi/2,-pi/2,-pi/2,-pi/2];
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robot.link_type = ['R','R','R','R','R','R','R','R','P'];
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robot = get_Kinematics(robot, opt);
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% R1000_Dynamics_num;
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% opt.Isreal = false;
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% robot = get_velocity(robot, opt);
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% robot = get_regressor(robot,opt);
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% symbol matched
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% verify_regressor
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% robot = get_baseParams(robot, opt);
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@ -31,7 +31,7 @@ com_pos_R2(:,8)=[2.2355855e+02 -3.6281380e-01 1.4875409e+01]'*10^-3; % don't us
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com_pos_R1(:,9)=[-9.6776846e-02 1.4179201e-01 -3.4242667e+01]'*10^-3;
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com_pos_R1(:,9)=[-9.6776846e-02 1.4179201e-01 -3.4242667e+01]'*10^-3;
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% Get 3D coordinate of CO
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% Get 3D coordinate of CO
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co=[]
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co=[];
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for i = 1:8
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for i = 1:8
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if i == 1
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if i == 1
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co(:,i) = com_pos_R1(:,i)-com_pos_R2(:,i);
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co(:,i) = com_pos_R1(:,i)-com_pos_R2(:,i);
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@ -46,17 +46,16 @@ end
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co = [zeros(3,1),co];
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co = [zeros(3,1),co];
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% temp slist
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% temp slist
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robot.slist=[[0;0;1;0;0;0],...
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robot.slist=[[0;0;1;co(:,1)],...
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[0;-1;0;cross(-[0;-1;0],[0.2;0;0])]...
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[0;-1;0;cross(-[0;-1;0],co(:,2))]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5;0;0])]...
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[0;-1;0;cross(-[0;-1;0],co(:,3))]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45;0;0])]...
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[0;-1;0;cross(-[0;-1;0],co(:,4))]...
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[0;0;1;cross(-[0;0;1],[0.2+0.5+0.45+0.12;0;0])]...
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[0;0;1;cross(-[0;0;1],co(:,5))]...
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[1;0;0;cross(-[1;0;0],[0.2+0.5+0.45+0.12+0.28;0;0])]...
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[1;0;0;cross(-[1;0;0],co(:,6))]...
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[0;0;-1;cross(-[0;0;-1],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
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[0;0;-1;cross(-[0;0;-1],co(:,7))]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
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[0;-1;0;cross(-[0;-1;0],co(:,8))]...
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[0;0;0;1;0;0]];
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[0;0;0;1;0;0]];
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robot.slist(4:6,:) = co;
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robot.Home.R(:,:,1) = [[1;0;0],[0;1;0],[0;0;1]];
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robot.Home.R(:,:,1) = [[1;0;0],[0;1;0],[0;0;1]];
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robot.Home.R(:,:,2) = [[1;0;0],[0;0;1],[0;-1;0]];
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robot.Home.R(:,:,2) = [[1;0;0],[0;0;1],[0;-1;0]];
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robot.Home.R(:,:,3) = [[1;0;0],[0;0;1],[0;-1;0]];
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robot.Home.R(:,:,3) = [[1;0;0],[0;0;1],[0;-1;0]];
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@ -74,7 +73,7 @@ robot.link_type = ['R','R','R','R','R','R','R','R','P'];
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robot = get_Kinematics(robot, opt);
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robot = get_Kinematics(robot, opt);
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% R1000_Dynamics_num;
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R1000_Dynamics_num;
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% opt.Isreal = false;
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% opt.Isreal = false;
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% robot = get_velocity(robot, opt);
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% robot = get_velocity(robot, opt);
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% robot = get_regressor(robot,opt);
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% robot = get_regressor(robot,opt);
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@ -12,9 +12,9 @@ link_mass = robot.m;
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com_pos = robot.com;
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com_pos = robot.com;
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link_inertia = robot.I;
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link_inertia = robot.I;
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thetalist = [zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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thetalist = [q_J;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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dthetalist = [zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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dthetalist = [qd_J;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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ddthetalist = [zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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ddthetalist = [qdd_J;zero_;zero_;zero_;zero_;zero_;zero_;zero_;zero_]';
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% Get general mass matrix
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% Get general mass matrix
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Glist=[];
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Glist=[];
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@ -24,51 +24,94 @@ for i = 1:N
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end
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end
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% Get the com pos transformation in each joint reference frame
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% Get the com pos transformation in each joint reference frame
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Mlist_CG = [];
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% Mlist_CG = [];
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for i = 0:N-1
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% for i = 0:N-1
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if i == 0
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% if i == 0
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M = robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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% M = robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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else
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% else
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M = TransInv(transl(com_pos(:,i)))*robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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% M = TransInv(transl(com_pos(:,i)))*robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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end
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% end
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Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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end
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% end
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M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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% M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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% Get the com pos transformation in each joint reference frame
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% Get the com pos transformation in each joint reference frame
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% FIXME: BUG here
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% FIXME: BUG here
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Mlist_CG=[];
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% Mlist_CG=[];
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for i = 0:N-1
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% for i = 0:N-1
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if i == 0
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% if i == 0
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M=robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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% M=robot.T(:,:,i+1)*transl(com_pos(:,i+1));
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else
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% else
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rotation_i = diag([1,1,1]);
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% rotation_i = diag([1,1,1]);
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for j = 1:i
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% for j = 1:i
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rotation_i = rotation_i*TransToRp(robot.T(:,:,i));
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% rotation_i = rotation_i*TransToRp(robot.T(:,:,i));
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rotation_j = rotation_i*TransToRp(robot.T(:,:,i+1));
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% rotation_j = rotation_i*TransToRp(robot.T(:,:,i+1));
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end
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% end
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M = TransInv(RpToTrans(rotation_i,rotation_i*com_pos(:,i)))*robot.T(:,:,i)*RpToTrans(rotation_j,rotation_j*com_pos(:,i+1));
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% M = TransInv(RpToTrans(rotation_i,rotation_i*com_pos(:,i)))*robot.T(:,:,i+1)*RpToTrans(rotation_j,rotation_j*com_pos(:,i+1));
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end
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% end
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Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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end
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% end
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M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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% M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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% ct=[];
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% Mlist_CG=[];
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% for i = 1:N
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% if i == 1
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% ct(:,i) = com_pos_R1(:,i);
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% elseif i< 9
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% ct(:,i) = -com_pos_R2(:,i-1)+com_pos_R1(:,i);
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% else
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% ct(:,i) = -com_pos_R1(:,i-1)-[0;0;0.05896]+com_pos_R1(:,i);
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% end
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% robot.Home.com(:,i) = ct(:,i);
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% M = RpToTrans(robot.T(1:3,1:3,i),robot.Home.R(:,:,i)*robot.Home.com(:,i));
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% Mlist_CG = cat(3, Mlist_CG, M);
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% end
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% M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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% Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG=[];
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% Mlist_CG=[];
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% for i = 1:N
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% for i = 1:N
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% if i == 1
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% if i == 1
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% M = [diag([1,1,1]),com_pos_R1(:,i);zeros(1,3),1];
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% M = [diag([1,1,1]),com_pos_R1(:,i);zeros(1,3),1];
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% elseif i<=8
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% elseif i<=8
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% M = RpToTrans(TransToRp(robot.T(:,:,i)),TransToRp(robot.T(:,:,i))*(-com_pos_R2(:,i-1)+com_pos_R1(:,i)));
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% M = RpToTrans(TransToRp(robot.T(:,:,i)),robot.Home.R(:,:,i)*(-com_pos_R2(:,i-1)+com_pos_R1(:,i)));
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% elseif i==9
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% elseif i==9
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% M = RpToTrans(TransToRp(robot.T(:,:,i)),TransToRp(robot.T(:,:,i))*(-[0;0;0.05896]+com_pos_R1(:,i-1)+com_pos_R1(:,i)));
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% M = RpToTrans(TransToRp(robot.T(:,:,i)),robot.Home.R(:,:,i)*(-[0;0;0.05896]+com_pos_R1(:,i-1)+com_pos_R1(:,i)));
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% end
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% end
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% Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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% end
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% end
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% M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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% M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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% Mlist_CG = cat(3, Mlist_CG, M);
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% Mlist_CG = cat(3, Mlist_CG, M);
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ct=[];
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Mlist_CG_Base=[];
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for i = 1:N
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if i == 1
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ct(:,i) = com_pos_R1(:,i);
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elseif i< 9
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ct(:,i) = ct(:,i-1)-com_pos_R2(:,i-1)+com_pos_R1(:,i);
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else
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ct(:,i) = ct(:,i-1)-com_pos_R1(:,i-1)-[0;0;0.05896]+com_pos_R1(:,i);
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end
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robot.Home.com(:,i) = ct(:,i);
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M_CG_Base = RpToTrans(robot.Home.R(:,:,i),robot.Home.com(:,i));
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Mlist_CG_Base = cat(3, Mlist_CG_Base, M_CG_Base);
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end
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Mlist_CG=[];
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for i = 1:N
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if i == 1
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Mlist_CG(:,:,i) = Mlist_CG_Base(:,:,i);
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else
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Mlist_CG(:,:,i) = TransInv(Mlist_CG_Base(:,:,i-1))*Mlist_CG_Base(:,:,i);
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end
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end
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M = [[1, 0, 0, 0]; [0, 1, 0, 0]; [0, 0, 1, 0]; [0, 0, 0, 1]];
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Mlist_CG = cat(3, Mlist_CG, M);
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% Get the end efforce transformation in each joint reference frame
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% Get the end efforce transformation in each joint reference frame
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Mlist_ED = [];
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Mlist_ED = [];
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for i = 1:N
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for i = 1:N
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@ -80,15 +123,7 @@ Mlist_ED = cat(3, Mlist_ED, M);
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%TODO: Get Slist form DH table method
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%TODO: Get Slist form DH table method
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% RRRRRRRRP
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% RRRRRRRRP
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Slist=[[0;0;1;0;0;0],...
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Slist=robot.slist;
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[0;-1;0;cross(-[0;-1;0],[0.2;0;0])]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5;0;0])]...
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[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45;0;0])]...
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[0;0;1;cross(-[0;0;1],[0.2+0.5+0.45+0.12;0;0])]...
|
|
||||||
[1;0;0;cross(-[1;0;0],[0.2+0.5+0.45+0.12+0.28;0;0])]...
|
|
||||||
[0;0;-1;cross(-[0;0;-1],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
|
|
||||||
[0;-1;0;cross(-[0;-1;0],[0.2+0.5+0.45+0.12+0.28;0;-0.4])]...
|
|
||||||
[0;0;0;1;0;0]];
|
|
||||||
|
|
||||||
Vlinear=sym(zeros(3,3));
|
Vlinear=sym(zeros(3,3));
|
||||||
J=sym(zeros(6,N));
|
J=sym(zeros(6,N));
|
||||||
|
|
|
||||||
|
|
@ -12,7 +12,7 @@ if(opt.Isreal)
|
||||||
end
|
end
|
||||||
robot.TW(:,:,j) = T;
|
robot.TW(:,:,j) = T;
|
||||||
end
|
end
|
||||||
for i = 1:size(thetalist)
|
for i = 1:length(thetalist)
|
||||||
if i == 1
|
if i == 1
|
||||||
robot.T(:,:,i) = robot.TW(:,:,i);
|
robot.T(:,:,i) = robot.TW(:,:,i);
|
||||||
else
|
else
|
||||||
|
|
|
||||||
21
untitled2.m
21
untitled2.m
|
|
@ -42,7 +42,7 @@ com_pos_R1(:,8)=[-3.6571935e+01 -3.6282658e-01 -4.7124267e+01]'*10^-3;
|
||||||
com_pos_R2(:,8)=[2.2355855e+02 -3.6281380e-01 1.4875409e+01]'*10^-3; % don't use this
|
com_pos_R2(:,8)=[2.2355855e+02 -3.6281380e-01 1.4875409e+01]'*10^-3; % don't use this
|
||||||
com_pos_R1(:,9)=[-9.6776846e-02 1.4179201e-01 -3.4242667e+01]'*10^-3;
|
com_pos_R1(:,9)=[-9.6776846e-02 1.4179201e-01 -3.4242667e+01]'*10^-3;
|
||||||
% plot 3D: Get 3D coordinate of COM
|
% plot 3D: Get 3D coordinate of COM
|
||||||
ct=[]
|
ct=[];
|
||||||
for i = 1:9
|
for i = 1:9
|
||||||
if i == 1
|
if i == 1
|
||||||
ct(:,i) = com_pos_R1(:,i);
|
ct(:,i) = com_pos_R1(:,i);
|
||||||
|
|
@ -56,7 +56,7 @@ plot3(ct(1,:),ct(2,:),ct(3,:),'o','Color','r')
|
||||||
axis equal
|
axis equal
|
||||||
grid on
|
grid on
|
||||||
% plot 3D: Get 3D coordinate of CO
|
% plot 3D: Get 3D coordinate of CO
|
||||||
co=[]
|
co=[];
|
||||||
for i = 1:8
|
for i = 1:8
|
||||||
if i == 1
|
if i == 1
|
||||||
co(:,i) = com_pos_R1(:,i)-com_pos_R2(:,i);
|
co(:,i) = com_pos_R1(:,i)-com_pos_R2(:,i);
|
||||||
|
|
@ -73,6 +73,21 @@ hold on
|
||||||
plot3(co(1,:),co(2,:),co(3,:),'o','Color','b')
|
plot3(co(1,:),co(2,:),co(3,:),'o','Color','b')
|
||||||
axis equal
|
axis equal
|
||||||
grid on
|
grid on
|
||||||
|
%%
|
||||||
for i = 1:9
|
for i = 1:9
|
||||||
co(:,i+1)-co(:,i)
|
co(:,i+1)-co(:,i);
|
||||||
|
end
|
||||||
|
%%
|
||||||
|
for i = 1:9
|
||||||
|
tt(:,i)=robot.TW(1:3,1:3,i)*com_pos_R1(:,i);
|
||||||
|
end
|
||||||
|
kk=[];
|
||||||
|
for i = 1:9
|
||||||
|
kk(:,:,i)=TransInv(robot.TW(:,:,i))*Mlist_CG_Base(:,:,i);
|
||||||
|
end
|
||||||
|
|
||||||
|
%%
|
||||||
|
yy=eye(4,4);
|
||||||
|
for i =1:9
|
||||||
|
yy = yy*Mlist_CG(:,:,i)
|
||||||
end
|
end
|
||||||
Loading…
Reference in New Issue