NDLI: Robust stability analysis and control synthesis for discrete-time uncertain switched systems

Content Provider	IEEE Xplore Digital Library
Author	Dongmei Xie Long Wang Fei Hao Guangming Xie
Copyright Year	2003
Description	Author affiliation: Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China (Dongmei Xie; Long Wang; Fei Hao; Guangming Xie)
Abstract	This paper investigates the robust stability analysis and control synthesis of discrete-time switched systems with norm-bounded uncertainty under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function method. First, the equivalence between the existence of a switched Lyapunov function and two different matrix inequalities is established. These two matrix inequality conditions can be further proven to be equivalent to two LMI-based conditions. Then, some LMI-based conditions for stabilization via switched static state feedback as well as switched static output feedback are presented. In the case of state feedback, the conditions are necessary and sufficient, whereas for output feedback, the conditions are only sufficient as they depend on particular state-space representation used to describe the switched systems.
Sponsorship	Honeywell Lab. Xerox Nat. Instruments Math Works
Starting Page	4812
Ending Page	4817
File Size	348379
Page Count	6
File Format	PDF
ISBN	0780379241
ISSN	01912216
DOI	10.1109/CDC.2003.1272350
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-12-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robust stability Control system analysis Control system synthesis Switched systems Linear matrix inequalities Lyapunov method Output feedback Uncertainty State feedback Bismuth
Content Type	Text
Resource Type	Article

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