I have a state space system like this and I want to Augment the discrete-time plant model with an integrator, and check controllability and observability of the augmented model.

I have a state space system like this and I want to Augment the discrete-time plant model with an integrator, and check controllability and observability of the augmented model.

[Aquatris]

What is the actual question? Do you want the code for it or do you want to know what state space representation of an integrator is?

[Philoxy4]

I would like the state space representation of an integrator.Thanks

Answer 1

[Aquatris]

Integral in discrete time using Forward Euler method;

x(k+1) = x(k) + dt*u;
y(k)   = x(k);

Other methods can be found here.