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Title: The finite inclusions theorem: a tool for robust design (English)
Author: Djaferis, Theodore E.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 34
Issue: 6
Year: 1998
Pages: [625]-634
Summary lang: English
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Category: math
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Summary: Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design. (English)
Keyword: robust controller design
Keyword: finite inclusions theorem (FIT)
Keyword: FIT-based algorithms
Keyword: robust asymptotic tracking
Keyword: robust stabilization
Keyword: robust asymptotic tracking
Keyword: robust noise attenuation
MSC: 93B35
MSC: 93B51
MSC: 93D09
MSC: 93D21
idZBL: Zbl 1274.93215
idMR: MR1695367
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Date available: 2009-09-24T19:21:16Z
Last updated: 2015-03-28
Stable URL: http://hdl.handle.net/10338.dmlcz/135250
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Reference: [1] Djaferis T. E.: Robust Control Design: A Polynomial Approach.Kluwer Academic Publishers, Boston 1995
Reference: [2] Doyle J. C., Francis B. A., Tannenbaum A. L.: Feedback Control Theory.MacMillan, New York 1992
Reference: [3] Khargonekar P. P., Tannenbaum A.: Non–Euclidean metrics and the robust stabilization of systems with parameter uncertainty.IEEE Trans. Automat. Control 30 (1985), 10, 1005–1013 Zbl 0592.93044, MR 0804138, 10.1109/TAC.1985.1103805
Reference: [4] Ogata K.: Modern Control Engineering.Third edition. Prentice Hall, Englewood Cliffs, N. J. 1997 Zbl 0756.93060
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