LMI-based Stabilization for Switched Linear Systems With Event-triggering Scheme

This paper concerns the stabilization of switched linear systems with an event-triggered control strategy. Different from the traditional sampled-data control systems whose controller updates signals periodically, the presented event-triggering scheme samples signals according to the current system performance, and its event-triggered condition depends on the error between the present state and the latest sampled and transmitted state. With the proposed event-triggering scheme, multiple Lyapunov functions method and linear matrix inequality (LMI) technique are adopted to design the stabilizing controllers, and the corresponding sufficient conditions are obtained to guarantee the asymptotic stability of the resulted event-triggered, switched closed-loop system. Moreover, a lower bound estimation on the inter-execution intervals is given to avoid Zeno behavior. Numerical simulations are provided to show the effectiveness of the approach.