I have a system of differential equations, which I would like to convert to spate-space representation:
s = [x(2);
(x(4)*x(6)*(p.Iyy-p.Izz)-(u(1)+u(2)+u(3)+u(4))*p.IR*x(4)...
+(p.b*p.l*(u(2)^2-u(4)^2)))/p.Ixx;
x(4);
(x(2)*x(6)*(p.Izz-p.Ixx)+(u(1)+u(2)+u(3)+u(4))*p.IR*x(2)...
+(p.b*p.l*(u(3)^2-u(1)^2)))/p.Iyy;
x(6);
(x(4)*x(2)*(p.Ixx-p.Iyy)+(p.d*(u(1)^2+u(3)^2-u(2)^2-u(4)^2)))/p.Izz;
x(8);
((p.b*(u(1)^2+u(2)^2+u(3)^2+u(4)^2))*(sin(x(1))*sin(x(5))...
+cos(x(1))*sin(x(3))*cos(x(5))))/p.mass;
x(10);
((p.b*(u(1)^2+u(2)^2+u(3)^2+u(4)^2))*(cos(x(1))*sin(x(3))*sin(x(5))...
-sin(x(1))*cos(x(5))))/p.mass;
x(12);
((p.b*(u(1)^2+u(2)^2+u(3)^2+u(4)^2))*(cos(x(1))*cos(x(3)))-p.mass*p.g)/p.mass];
The confusing moment for me is that there are multiplication of state variables (e.g. x(4)*x(6)), so I don't know how to write it down in A matrix.
Is it possible to convert such system to state-space? Could you hint the way how it should look like?
Thank you in advance for your answer!
