Paper Info
Title
A Foreseeable Lyapunov Function Approach For H-Infinity Asynchronous Filtering Of Discrete-Time Switched Systems
Abstract
This paper investigates the H-infinity asynchronous filtering problem of discrete-time linear switched systems. A foreseeable Lyapunov function is firstly proposed for the asynchronous filtering error system with mode-dependent integrated dwell time (MDIDT) switching. The novelty consists in that the Lyapunov function carries the future state in the form of the convex linear functions which enables us to take into account the state and noise information at the next instant during the design process of the filter. The Lyapunov function follows the operation of the asynchronous filter and is designed corresponding to the partition of the synchronous intervals. In light of these merits, the stability and non-weighted l(2)-gain performance can be deduced, and then the foreseeable H-infinity asynchronous filter is devised to ensure the resulting filtering error system is globally uniformly exponentially stable (GUES) with a prescribed non-weighted l(2)-gain. The word foreseeable signifies that the H-infinity performance analysis of the filtering error system can't do without the noise knowledge at the next instant. Compared with the traditional filter design method, our method gets tighter bounds on the dwell time and smaller filtering error results. Finally, the effectiveness and superiority of our filtering scheme is verified by application examples. (c) 2020 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.amc.2020.125882
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Asynchronous filtering, Foreseeable, Lyapunov function, Switched systems, Globally uniformly exponentially stable, Mode-dependent integrated dwell time
Journal
395
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Jiahao Cui100.34
Ruihua Wang2112.96
Ticao Jiao3445.50
Shu-Min Fei4115096.93