NDLI: A unified LMI approach to reduced-order controllers: a matrix pencil perspective

Content Provider	IEEE Xplore Digital Library
Author	Xin Xin
Copyright Year	2003
Description	Author affiliation: Dept. of Commun. Eng., Okayama Prefectural Univ., Japan (Xin Xin)
Abstract	This paper addresses the existence and design of reduced-order controllers for a rather general class of control design problems which can be characterized in the LMI framework. By incorporating certain matrix pencils into the LMI based formulation for solving the problems, this paper presents a unified controller degree bound for the problems in terms of the minimal rank of the matrix pencils with respect to their generalized eigenvalues in the unstable region and at infinity. When the full-order controller exists, this paper shows that there exists a reduced-order controller if one of the matrix pencils has unstable finite generalized eigenvalue(s) or infinite eigenstructure. Moreover, this paper demonstrates that the computational problem of finding the controllers with such new degree bound is convex by providing LMI based design methods for constructing the reduced-order controllers.
Sponsorship	Honeywell Lab. Xerox Nat. Instruments Math Works
Starting Page	5137
Ending Page	5142
File Size	412819
Page Count	6
File Format	PDF
ISBN	0780379241
ISSN	01912216
DOI	10.1109/CDC.2003.1272452
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	Control systems Control design Communication system control Design engineering Eigenvalues and eigenfunctions H infinity control Design methodology Riccati equations Computer science Systems engineering and theory
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
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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