matlab code for equations below (model predictive control)

x(k)=Ax(k-1)+BU(k-1)
A= 78
B=[35 20 10]
U=[22;13;2]
x(k+1)=A^(2)*x(k-1)+A*B*U(k-1)+B*U(k)
x(k+2)=A^(3)*x(k-1)+A^(2)*B*U(k-1)+A*B*U(k)+B*U(k+1)
and so on
x(k+n)=.....................

any idea how to cod this using Matlab M-file

thanks and appreciate your help

Answer 1

[Yatin]

Hello Magdi,

Please have a look at the link below. I think the resources on the page will be helpful.

http://www.mathworks.com/help/symbolic/solve.html