Asynchronous l2 – l∞ filtering of discrete-time impulsive switched systems with admissible edge-dependent average dwell time switching signal. Issue 8 (11th June 2021)

• Record Type: Journal Article
• Authors: Liu, Huiying; Gao, Lijun; Wang, Zhenyue; Liu, Zihan
• Is Part Of: International journal of systems science. Volume 52:Issue 8(2021)
• Page Start: 1564
• Page End: 1585
• Publication Date: 2021-06-11
• Subjects: Admissible edge-dependent average dwell time -- multiple Lyapunov-like function -- asynchronous discrete-time impulsive switched system -- l2−l∞ filter; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1866094
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In this paper, the asynchronous l 2 − l ∞ filtering problem is directed at a kind of discrete-time impulsive switched systems, where 'asynchronous' implies that there is a delay when switching occurs between filter modes and system modes. A novel Lyapunov function has been constructed. The inventiveness lies in discontinuity of Lyapunov-like function at both the switching time and the instant when the system modes and filter modes are matched. An improved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the l 2 − l ∞ performance. On the basis of directed graph, the novel Lyapunov function, the improved inequality and admissible edge-dependent average dwell time technology, some criteria suitable for proving the globally uniformly exponential stability of filtering error system are proposed with l 2 − l ∞ performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions.