H∞ Control for Switched Systems Based on Dynamic Event-Triggered Strategy and Quantization Under State-Dependent Switching

Abstract

This paper is concerned with the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> control problem for switched systems under the event-triggered sampling, the quantization control and the state-dependent switching. The dynamic event-triggered strategy and the quantization control are utilized to adjust the signal transmission and relieve the transmission load. Different from the existing dynamic event-triggered strategies, the triggering condition only needs to be monitored at discrete time. Moreover, the state-dependent switching law is designed by using only the discrete state information. Under the event-triggered sampling, the quantization control and the state-dependent switching, sufficient conditions are proposed to guarantee the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_\infty $ </tex-math></inline-formula> performance. A switched RLC system is utilized to verify the results in the simulation.