Title
Stability and stabilization for discrete-time switched systems with asynchronism.
Abstract
In this paper, the H∞ control is investigated for a class of discrete-time switched systems. The switching delay between the mode and controller, which leads to the asynchronism, is taken into consideration. The switching signal is considered to be constrained by persistent dwell time (PDT), which is known to be more general than the common used dwell time or average dwell time. Sufficient conditions to guarantee the asymptotic stability and ℓ2-gain are derived under a PDT scheme. By considering that actual controllers are subjected to norm-bounded gain perturbations, non-fragile controllers are designed based on both state feedback and output feedback stategies. Finally, the effectiveness of the provided methods is illustrated by two examples.
Year
DOI
Venue
2018
10.1016/j.amc.2018.06.049
Applied Mathematics and Computation
Keywords
Field
DocType
Discrete-time switched system,H∞ control,Asynchronous switching,Persistent dwell time
Dwell time,Switching signal,Control theory,Mathematical optimization,Control theory,Mode (statistics),Exponential stability,Discrete time and continuous time,Mathematics,Perturbation (astronomy)
Journal
Volume
ISSN
Citations 
338
0096-3003
1
PageRank 
References 
Authors
0.35
18
4
Name
Order
Citations
PageRank
shuang shi1866.70
Zhongyang Fei232026.05
Zhenpeng Shi310.69
Shunqing Ren411.70