Model-Based Event-Triggered Control of Switched Discrete-Time Systems

In this paper, we study model-based event-triggered control (MB-ETC) for a kind of switched discrete-time systems composed of stabilizable and unstabilizable subsystems. A nominal dynamic model is constructed at the feedback control part so that it can provide an estimate of the system state for system input even the overall switched discrete-time system is running in open-loop. Since the information provided to the model is transmitted over the network, an event-triggered mechanism (ETM) is taken into account to reduce network data transmission. Stability conditions for the augmented closed-loop system are derived by using multi-Lyapunov function method and average dwell time (ADT) switching strategy and given in linear matrix inequality form. We also give the design of control gains. Finally, a numerical example is provided to verify the validity of the proposed method.