MATLAB: Can I design a static gain controller for discrete-time systems using H-Infinity control methods

Question

Hello, I'm looking for a possibility to create a robust static state feedback gain (u=Kx) with the H-Infinity-Method and i have a discrete-time system.

The sdhinfsyn-function, which creates a discrete-time controller, returns a LTI-System-controller but not static gain.

Answer 1

In Robust control toolbox, you can use HINFFI fto get a static gain controller for discrete-time systems using H-infinity control techniques.

Please look at the following documentation for more information:

https://www.mathworks.com/help/robust/ref/hinffi.html

Alternatively, you can use HINFSTRUCT or SYSTUNE and specify the tuned controller as a TunableGain.