Robust Dynamic Output Feedback Control for Uncertain Fast Sampling Discrete-Time Singularly Perturbed Systems

This paper considers the dynamic output feedback (DOF) control problems for a class of uncertain discrete-time singularly perturbed systems by using reduced-order subsystems (ROSs). A sufficient condition in terms of a linear matrix inequality (LMI) is provided to guarantee the existence of the DOF controller of the ROSs. The corresponding controller gain matrices can be solved by the proposed LMIs. The results show that the DOF controller that...