Stabilization of Model-Based Switched Discrete-Time Systems Under Periodical Sampled-Data Control

We focus on the model-based control (MBC) for a set of switched discrete-time systems with partial unstabilizable subsystems in a network communication environment with periodic sampling mechanism. A hybrid control strategy combining dwell time (DT) and average dwell time (ADT) is used and the reasonable allocation of dwell time of stabilizable and unstabilizable subsystems is arranged to guarantee stability of the model-based switched discrete-time system. A sufficient condition of stability for the closed-loop switched system is derived and presented in linear matrix inequality form, under which control gains can be designed. Finally, the effectiveness of our proposed method is verified through a numerical simulation example.