NDLI: Robust Control of Linear Systems via Switching

Content Provider	IEEE Xplore Digital Library
Author	Allerhand, L.I. Shaked, U.
Copyright Year	1963
Abstract	The standard approach to the problem of controlling linear systems with large parameter uncertainty is to seek a controller that stabilizes the system and achieves a required performance over the whole polytope of uncertainty. In the case where the latter polytope is large, the design may become very conservative. We present an alternative approach where the uncertainty polytope is divided into overlapping smaller regions and where each of these regions is assigned to a separate subsystem. Assuming that there is online information on which of the regions the parameters of the system move to, a recently developed method for H_∞ design of switched system with dwell time is applied. A Lyapunov Function (LF) in a quadratic form, which is non-increasing at the switching instants, is assigned to each subsystem. This function is used to determine the stability and to find a bound on the L₂ -gain of the switched system. The obtained results are used to solve the corresponding robust H_∞ state-feedback and static output-feedback control problems.
Sponsorship	IEEE Control Systems Society
Starting Page	506
Ending Page	512
Page Count	7
File Size	1486996
File Format	PDF
ISSN	00189286
Volume Number	58
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Switches Switched systems Uncertainty Linear systems Uncertain systems Robustness switching $H_{\infty}$ design Lyapunov function (LF) robust control
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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