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Closed-loop shaping by analytic functions with a bounded degree
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2001 (English)In: 2001 European Control Conference, ECC 2001, IEEE conference proceedings, 2001, 722-726 p.Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

This paper proposes a new technique for frequency shaping of the closed-loop system. The technique does not involve any weighting function for shaping, which is often used in the conventional H∞ control theory, but selects a desirable analytic function from a set of H∞ suboptimal solutions with a bounded degree. The Nevanlinna-Pick interpolation theory with a degree bound plays a central role in deriving shaping strategies of the closed-loop frequency responses. One example illustrates the efficiency of the proposed method by comparing it with a conventional method in H∞ control.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2001. 722-726 p.
Keyword [en]
bounded degree, Closed-loop shaping, H∞ control, model matching, Nevanlinna-Pick interpolation, Closed loop systems, Frequency response, Functional analysis, Interpolation, Closed loop shaping, Closed-loop frequency response, Conventional methods, Suboptimal solution, Weighting functions, Functions
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-181629Scopus ID: 2-s2.0-84947465886ISBN: 9783952417362 (print)OAI: oai:DiVA.org:kth-181629DiVA: diva2:912382
Conference
6th European Control Conference, ECC 2001, 4 September 2001 through 7 September 2001
Note

QC 20160316

Available from: 2016-03-16 Created: 2016-02-02 Last updated: 2016-03-16Bibliographically approved

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