Finite-time H∞ control under the Round-Robin protocol for switched linear systems with admissible edge-dependent average dwell time

Abstract

This article focuses on finite-time [Formula: see text] control under the Round-Robin protocol for switched linear systems with admissible edge-dependent average dwell time. To relieve the bandwidth pressure of the sensor, a Round-Robin protocol is constructed to decide the access rights of each node of the sensor. Under the Round-Robin protocol-based control structure, admissible edge-dependent average dwell time is applied to describe the transition relationship between the modes of the subsystem and release the restrictions of mode-dependent average dwell time. Moreover, the finite-time stability and [Formula: see text] performance of switched system with Round-Robin protocol are analyzed by using multiple Lyapunov function method combined with the admissible edge-dependent average dwell time switching. Sufficient conditions for the solution to finite-time control problem are derived which consider the [Formula: see text] performance index. Finally, the availability of the control synthesis methods is verified by the circuit model of Buck–Boost converter.