Trying to get the angles at each time step. The angles should be in radians 0 to pi. From my loop, the angles are qs, qe, qw. Each time we get a new angle by adding the q_dot. I am getting angle 10^4 , which does not make sense.

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for i=1:length(t)
if i~=1
dxdqs=la*cos(qs)+lf*cos(qs+qe)+lh*cos(qs+qe+qw);
dxdqe=lf*cos(qs+qe)+lh*cos(qs+qe+qw);
dxdqw=lh*cos(qs+qe+qw);
dydqs=la*sin(qs)+lf*sin(qs+qe)+lh*sin(qe+qs+qw);
dydqe=lf*sin(qs+qe)+lh*sin(qe+qs+qw);
dydqw=lh*sin(qe+qs+qw);
dtdqs=1;
dtdqe=1;
dtdqw=1;
J=[dxdqs dxdqe dxdqw; dydqs dydqe dydqw; dtdqs dtdqe dtdqw];
end
w=[1 0 0;0 1 0;0 0 1];
Jcross=inv(w)*J'*inv(J*inv(w)*J');
Q_dot(:,i)=Jcross*dxdt(:,i);
Q_dot(1,i)=qs+Q_dot(1,i);
Q_dot(2,i)=qe+Q_dot(2,i);
Q_dot(3,i)=qw+Q_dot(3,i);
qs=Q_dot(1,i);
qe=Q_dot(2,i);
qw=Q_dot(3,i);
% qw=0;
end
  2 Comments
Jan
Jan on 15 Feb 2021
We cannot run the code due to the missing variables t, l1, qs, qe, qw, lf, lh and so on.
All we know is that you obtain "angle 10^4" and that you assume to get something else.
So what is your question? What do you expect? What are the values of the variables? How can we help you?
Samah Salha
Samah Salha on 16 Feb 2021
Edited: Samah Salha on 16 Feb 2021
this is the full code
I am trying to study a human arm movement and get a plot of the angle vs time. I am unable to get the graph, the angles obtained in the loop seems wrong too. I am not sure where am making the mistake
clc;
close all;
load('Sub3_new.mat');
%Length of each limb
h=1.75;
la=0.189*h; %In m
lh=0.032*h; %In m
lf=0.145*h; %In m
lss=0.259*h; %In m
% Inputs
%Initial position (angle between limbs)
X1=Sub3.Left.Pos(1,1);
Y1=-Sub3.Left.Pos(1,2)-abs(lss/2);
qe=(acos((X1^2+Y1^2-la^2-(lf+lh)^2)/(2*la*(lf + lh))));
qs=(atan2(abs(X1),abs(Y1)) - acos((X1.^2 + Y1.^2 + la^2 - (lf+lh)^2)/(2*la*sqrt(X1.^2 + Y1.^2))));
qw=0;
%%Velocities
x_dot = Sub3.Left.Vel(:,1:3)';
t=(Sub3.Time).';
t=t(1:length(t)-1);
Q_dot=zeros(3,1);
%This loop is used to calculate the qs, qe and qw at each instance
%Algorithm: 1)Calculate the Jcross
% 2)Calculate the Qdot
% 3)Calculate the new qs, qe and qw
% 4)Calculate the new J
% 5)Repeat all the steps to all the moments of t.
for i=1:length(t)
dxdqs=la*cos(qs)+lf*cos(qs+qe)+lh*cos(qs+qe+qw);
dxdqe=lf*cos(qs+qe)+lh*cos(qs+qe+qw);
dxdqw=lh*cos(qs+qe+qw);
dydqs=la*sin(qs)+lf*sin(qs+qe)+lh*sin(qe+qs+qw);
dydqe=lf*sin(qs+qe)+lh*sin(qe+qs+qw);
dydqw=lh*sin(qe+qs+qw);
dtdqs=1;
dtdqe=1;
dtdqw=1;
J=[dxdqs dxdqe dxdqw; dydqs dydqe dydqw; dtdqs dtdqe dtdqw];
w=[1 0 0;0 1 0;0 0 1];
Jcross=J'*(J*J')^-1;
% Q_dot = Jcross*x(:,i);
Q(:,i)=Jcross*dxdt(:,i);
Q(1,i)=qs+Q(1,i);
Q(2,i)=qe+Q(2,i);
Q(3,i)=qw+Q(3,i);
qs=Q(1,i);
qe=Q(2,i);
qw=Q(3,i);
end
plot(qs,t)
title('qs vs time');
xlabel('Time (s)');
ylabel('qs');

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Answers (1)

Image Analyst
Image Analyst on 16 Feb 2021
If you want equal spaced angles, and a certain number of them, do this:
allAngles = linspace(startingAngle, endingAngle, numberOfAngles);
assign the 3 inputs to some actual numbers and it should work.

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