Paper Info
Title
Asynchronous repetitive control of switched systems via periodic event-based dynamic output feedback
Abstract
This paper develops an asynchronous mode-dependent repetitive control strategy with periodic event-based dynamic output feedback for periodic trajectory tracking of continuous-time switched systems subject to time-varying switching delays between system modes and controllers and limited communication capacity in the feedback channel. By employing the input delay approach, the overall system is modelled as an augmented closed-loop switched system with both constant and time-varying state delays. A co-design framework is proposed for simultaneously designing the controller, event-triggering mechanism and mode switching signal. Under the co-design framework, using piecewise Lyapunov functional, free-weighting matrices and average dwell time technique, sufficient conditions are derived for ensuring the augmented closed-loop system to be exponentially stable with a prescribed <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty }$</tex> attenuation level <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\gamma $</tex> for an exogenous disturbance input. The performance of the proposed controller design scheme is verified via numerical simulation results on a switched RLC series circuit system.
Year
DOI
Venue
2020
10.1093/imamci/dnz017
IMA Journal of Mathematical Control and Information
Keywords
DocType
Volume
asynchronous switched systems,periodic trajectory tracking,limited communication capacity,periodic event-based control
Journal
37
Issue
ISSN
Citations 
1
0265-0754
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Guoqi Ma101.35
Xinghua Liu27614.84
Prabhakar R. Pagilla39819.94
Shuzhi Sam Ge47786444.41