Title
Sliding mode control of discrete-time switched systems with time-delay
Abstract
In this paper, the problem of sliding mode control of a discrete-time switched system with time-varying delay is investigated. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is proposed to guarantee the exponential stability of the switched systems with time delays. The conservation of the obtained results is reduced by employing the delay partitioning method and the free-weighting matrix technique. A sliding mode controller has been designed to force the closed-loop system to be driven onto a prescribed sliding surface and maintained there for all subsequent time. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.
Year
DOI
Venue
2013
10.1016/j.jfranklin.2012.05.015
Journal of the Franklin Institute
Field
DocType
Volume
Dwell time,Control theory,Control theory,Matrix (mathematics),Piecewise lyapunov function,Exponential stability,Discrete time and continuous time,Mathematics,Sliding mode control
Journal
350
Issue
ISSN
Citations 
1
0016-0032
12
PageRank 
References 
Authors
0.60
28
4
Name
Order
Citations
PageRank
Xiaoxi Yu1151.66
Chunfeng Wu2130.95
Fangzhou Liu312510.67
Ligang Wu44523196.66