Event-triggered robust H∞ control for uncertain switched linear systems. Issue 15 (18th November 2017)

• Record Type: Journal Article
• Authors: Qi, Yiwen; Zeng, Pengyu; Bao, Wen; Feng, Zhigang
• Is Part Of: International journal of systems science. Volume 48:Issue 15(2017)
• Page Start: 3172
• Page End: 3185
• Publication Date: 2017-11-18
• Subjects: Uncertain switched linear systems -- event-triggering scheme -- robust H∞ control -- multiple Lyapunov functions -- time-varying delays; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2017.1367865
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: In this paper, an event-triggering scheme is implemented in uncertain switched linear systems with time-varying delays and exogenous disturbance. Instead of standard periodically time-triggered, sampled-data control systems, the event-triggered control systems sample data only when an event, typically defined as some performance error exceeding a tolerant bound, occurs. Specifically, considering the disturbance existing in the system, the event-triggered robust H ∞ control problem is studied. In order to guarantee the robust H ∞ performance, the event-triggered full state feedback control, multiple Lyapunov functions method and state-dependent switching law are utilised to construct sufficient conditions in terms of linear matrix inequalities. In particular, since the event-triggered signals and switching signals may interlace with each other, the influence from them on the analysis of robust H ∞ performance is clarified. Subsequently, sufficient design conditions of the sub-controllers' gains are further presented. Moreover, the Zeno problem is discussed to exclude continuously triggering and sampling. Finally, numerical simulations are provided to verify the feasibility of the proposed approach.