Finite bit rate stabilization of switched linear systems with bounded delay based on event-triggering control

Abstract

This paper investigates the finite bit rate stabilization of a switched linear system whose feedback packets are transmitted through a communication network with bounded time-varying delays. The unknown network delay and mode switching cause unavoidable asynchronous modes between the sensor and the controller, and greatly complicate the stabilization of that system. To resolve these issues, an event-triggering mechanism and a quantization method with a finite bit rate are proposed to sample, quantize and transmit the feedback signals. Furthermore, state estimation updating methods are designed to eliminate the effects of time-varying delays on state estimation errors. We derive sufficient stabilizing conditions in terms of average dwell time and feedback bit rate through determining the convergence rates of the Lyapunov function at sampling instants under different switching scenarios. Simulations are presented to verify the effectiveness of the proposed strategies.