H∞ sliding mode control for PDT-switched nonlinear systems under the dynamic event-triggered mechanism

Highlights：

• As a first attempt, the SMC problem of PDT switched nonlinear systems is addressed, and the dynamic ET mechanism is introduced to alleviate the limited bandwidth resources, which is more general.

• With the dynamic ET mechanism, a new switched SMC law is constructed with the PDT switching strategy that is more general than DT and ADT switching strategies, which can match the subsystem one by one more reasonably and reduce the conservativeness to some extent.

• Based on the Lyapunov function approach, some sufficient conditions, which can ensure both the reachability and globally uniform exponential stability with an H∞ performance of the closed-loop PDT switched system, are derived.

摘要

•As a first attempt, the SMC problem of PDT switched nonlinear systems is addressed, and the dynamic ET mechanism is introduced to alleviate the limited bandwidth resources, which is more general.•With the dynamic ET mechanism, a new switched SMC law is constructed with the PDT switching strategy that is more general than DT and ADT switching strategies, which can match the subsystem one by one more reasonably and reduce the conservativeness to some extent.•Based on the Lyapunov function approach, some sufficient conditions, which can ensure both the reachability and globally uniform exponential stability with an H∞ performance of the closed-loop PDT switched system, are derived.

论文关键词：Switched nonlinear systems,Persistent dwell-time switching strategy,Sliding mode control,Dynamic event-triggered mechanism

论文评审过程：Received 6 February 2021, Revised 18 May 2021, Accepted 22 June 2021, Available online 17 August 2021, Version of Record 17 August 2021.