QSR‐dissipativity of feedback interconnection of switched nonlinear systems under communication constraints

Abstract

This article studies QSR‐dissipativity of feedback interconnection of switched nonlinear system (SNS) via event‐triggered control. The QSR‐dissipativity property of a SNS is characterized by multiple storage functions and multiple supply rates, and the storage functions are allowed to increase at switching instants. All subsystems are allowed to be not QSR‐dissipative while a switching rule can read QSR‐dissipativity of the switched system. An output‐based event‐triggered control scheme is proposed to guarantee QSR‐dissipativity of feedback interconnection of switched systems possessing QSR‐dissipativity. In addition, Zeno behavior is excluded and the maximum number of triggers in any switching interval composed by two adjacent switching instants is estimated. Finally, a numerical example is given to illustrate the validity of the results.