Please, I need a CascadeBackstepping.m to solve obtain the optimal control for a cascade system of ODE.

CascadeBackstepping.m

the folder in the link below

https://se.mathworks.com/matlabcentral/fileexchange/32808-control-backstepping

does not contain the matlab code to solve a cascade system of ODEs with control.

I would like to solve a system like:

https://en.wikipedia.org/wiki/Backstepping

Answer 1

[Walter Roberson]

That model does not use any MATLAB code. It consists of integrators and gain blocks and scopes and goto & from blocks. It has no need of MATLAB code.

You do need to define variables k1 and k2 before simulating the model.

[julien]

Backstepping technique as presented in the link

https://en.wikipedia.org/wiki/Backstepping

maybe we can implemented this algorithm using loop for ...

[Walter Roberson]

Ah, so the problem is not that anything is missing from the File Exchange contribution: the problem is that you want a MATLAB function that does the work, instead of a Simulink model.

[julien]

Exactly, I want a MATLAB function that does the work, instead of a Simulink model