Observer based H∞ Control Problem for Linear Discrete Time Systems with Multiple Left Sub-Static-Output and Weighted Right Sub-Static-Output Feedback

The observer based discrete time H
_∞
control problem with multiple left sub-static-output and weighted right sub-static-output feedback is discussed. Necessary and sufficient conditions for the existence of an admissible controller solving the problem are given. Also, the admissible controller solving the problem is parametrized. The approach is based on two discrete time Riccati equations.