NDLI: Designing reduced order output feedback controllers using a potential reduction method

Content Provider	IEEE Xplore Digital Library
Author	David, J. De Moor, B.
Copyright Year	1994
Description	Author affiliation: ESAT, Katholieke Univ., Leuven, Belgium (David, J.; De Moor, B.)
Abstract	Some control problems can be formulated as convex problems involving linear matrix inequalities. Not only controllers for linear time invariant systems can be designed in this way but also controllers for linear systems with time varying uncertainties. It is also possible to design reduced order controllers, but the problem is no longer convex. To design a controller of the lowest possible order that satisfies the constraints, the minimal rank of an affine matrix function has to be found subject to linear matrix inequalities. In this paper an algorithm is proposed for solving such problems. It is an extension of a potential reduction method for solving convex optimization problems. The problem of finding minimum rank solutions is, however, not convex. Still, with the proposed potential reduction method reduced rank solutions can easily be obtained.
Starting Page	845
Ending Page	849
File Size	382530
Page Count	5
File Format	PDF
ISBN	0780317831
DOI	10.1109/ACC.1994.751862
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Output feedback Linear matrix inequalities Control systems Optimization methods Symmetric matrices Adaptive control Linear feedback control systems Linear systems Time varying systems State feedback
Content Type	Text
Resource Type	Article

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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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