Title
Stability and performance of discrete-time switched linear systems.
Abstract
This paper deals with stability analysis and control design of discrete-time switched linear systems. The results are based on a new sufficient condition for exponential stabilizability. A performance index that falls in the context of H2 norm is considered in order to optimize the joint design of a state dependent switching function and a state feedback control law. All control design conditions are expressed through linear matrix inequalities (LMIs). Comparisons with other available design procedures are made by means of examples borrowed from the literature. The present procedure is more amenable for control synthesis purposes and simpler from both theoretical and numerical viewpoints. Three state feedback control switching strategies are presented. The complexity of the control law is discussed.
Year
DOI
Venue
2018
10.1016/j.sysconle.2018.05.006
Systems & Control Letters
Keywords
Field
DocType
Switched linear systems,Stability analysis, H2 control design
Mathematical optimization,State dependent,Exponential function,Linear system,Performance index,Present procedure,Matrix (mathematics),Control theory,Norm (mathematics),Discrete time and continuous time,Mathematics
Journal
Volume
ISSN
Citations 
118
0167-6911
4
PageRank 
References 
Authors
0.43
15
2
Name
Order
Citations
PageRank
Grace S. Deaecto113015.29
José Claudio Geromel216436.34