Stability and ${\ell }^{2}$ -Gain Analysis of Adaptive Control Systems With Event-Triggered Try-Once-Discard Protocols

Abstract

This paper addresses the stability and 2 -gain analysis of adaptive control systems with event-triggered try-oncediscard protocols. At every sampling time, an event trigger evaluates an error between the current value and the last released value of each measurement and determines whether to transmit the measurements and which measurements to transmit, based on the try-once-discard protocol and given lower and upper thresholds. For gain-scheduling controllers and switching controllers that are adaptive to the maximum error of the measurements, we obtain sufficient conditions for the practical stability and upper bounds on the 2 -gain of the closed-loop system.

A survey on set-membership filtering for networked control systems under communication protocols

“…The WTOD protocol has been firstly proposed in Walsh, Ye, and Bushnell (2002) and the scheduling principle of the WTOD protocol has been expounded in detail. Since then, the WTOD protocol has been studied by more and more scholars and many important results have been reported in Zou, Wang, Han, and Zhou (2017), Liu, Pan, Xia, Fridman, and Lam (2016), Wakaiki (2017), Walsh and Ye (2001), Zhang, Yu, and Feng (2015), Wang (2015), Niu, Liang, and Yang (2017) and Nesic and Teel (2004). In Zou, Wang, and Gao (2016a), the set-membership filtering problem has been investigated for a class of time-varying systems with mixed time-delays under the WTOD protocol.…”