MATLAB: How to define different color for all three plots

define color

omega = 1; alpha = 1;beta=1;

f=@(ts,theta)[omega + alpha*(sin((theta(2)-theta(1))));

omega + alpha*(sin(theta(1)-theta(2)))+beta*(sin(theta(3)-theta(2)));

omega + beta*(sin((theta(2)-theta(3))))];

range = [0,1];

thetainit = [0.1,0.3,0.2];

[range,theta] = ode45(f,range,thetainit);

plot(range,theta,'Linewidth', 2)

xlabel('Range');

ylabel('Theta');

legend('Theta1','Theta2','Theta3');

Best Answer

solution:

omega = 1; alpha = 1;beta=1;
f=@(ts,theta)[omega + alpha*(sin((theta(2)-theta(1))));
    omega + alpha*(sin(theta(1)-theta(2)))+beta*(sin(theta(3)-theta(2)));
omega + beta*(sin((theta(2)-theta(3))))];
range = [0,1];
thetainit = [0.1,0.3,0.2];
[range,theta] = ode45(f,range,thetainit);
h=plot(range,theta,'Linewidth', 2);
set(h,{'Color'},{'r'; 'g'; 'b'})
xlabel('Range');
ylabel('Theta');
legend('Theta1','Theta2','Theta3');

Related Solutions

MATLAB: Is it so hard for MATLAB to solve the following symbolic equation

This seems to work

syms rp alpha beta theta psi z
A=cos(alpha)-cos(beta);
B=sin(alpha)-sin(beta);
C=(cos(beta)-1)/tan(beta)-(cos(alpha)-1)/tan(alpha);
R=A*(cos(theta)-cos(psi))+B*cos(theta)*sin(psi);
S=A*sin(theta)*sin(psi)-B*cos(theta)+C*cos(psi);
phi=atan(-R/S);
x=-rp*(cos(theta)*cos(phi)+sin(psi)*sin(theta)*sin(phi))*cos(alpha)-rp*(-cos(theta)*sin(phi)+sin(psi)*sin(theta)*cos(phi))*sin(alpha)+(rp/tan(alpha))*(cos(psi)*sin(phi)*(cos(alpha)-1)+cos(psi)*cos(phi)*sin(alpha));
y=-cos(psi)*sin(phi)*rp;
p=[x;y;z];
T=Rot('y',theta)*Rot('x',psi)*Rot('z',phi);
a1=T*[rp;0;0];
a2=T*[rp*cos(alpha);rp*sin(alpha);0];
a3=T*[rp*cos(beta);rp*sin(beta);0];  
Con1=(p+a1)'*[0;1;0];
Con2=(p+a2)'*[-sin(alpha);cos(alpha);0];
Con3=(p+a3)'*[-sin(beta);cos(beta);0];
disp([Con1; Con2; Con3])
function output=Rot(axis,angle)
syms x y z
if axis==x
    output=[1,0,0;0,cos(angle),-sin(angle);0,sin(angle),cos(angle)];
end
if axis==y
    output=[cos(angle),0,sin(angle);0,1,0;-sin(angle),0,cos(angle)];
end
if axis==z
    output=[cos(angle),-sin(angle),0;sin(angle),cos(angle),0;0,0,1];
end
end

MATLAB: Numerical Integration in matlab

There is no reliable numeric integration method in any programming language. For any given numeric integration method, it is possible to construct a function which the numeric integration method will return an arbitrarily wrong solution.

Trapazoidal Rule and Simpson's Rule are not reliable at all.

You could consider using integral(); provide AbsTol and RelTol parameters, and provide WayPoints whenever meaningful.

You could consider using vpaintegral() with similar parameters.

Best Answer

Related Solutions

MATLAB: Is it so hard for MATLAB to solve the following symbolic equation

MATLAB: Numerical Integration in matlab

Related Question