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Sensitivity shaping with degree constraint by nonlinear least-squares optimization
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2005 (English)Conference paper (Refereed)
Abstract [en]

This paper presents a new approach to shaping of the frequency response of the sensitivity function. A sensitivity shaping problem is formulated as an approximation problem relative to a desired frequency response and with respect to a function in a class of sensitivity functions with a degree bound. It is reduced to a finite dimensional constrained nonlinear least-squares optimization problem. A numerical example illustrates that the proposed method generates controllers of relatively low degrees.

Place, publisher, year, edition, pages
2005. 499-504 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; 16
Keyword [en]
Frequency responses, H-infinity control, Least-squares approximation, Robust control, Sensitivity function, Approximation problems, Degree bounds, Degree constraints, Finite dimensional, Low degree, Nonlinear least-squares optimization, Numerical example, Sensitivity functions, Automation, Constrained optimization, Control, Numerical methods, Frequency response
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-157071ScopusID: 2-s2.0-79960714129ISBN: 008045108XISBN: 9780080451084OAI: diva2:772329
16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005; Prague; Czech Republic; 3 July 2005 through 8 July 2005

QC 20141216

Available from: 2014-12-16 Created: 2014-12-05 Last updated: 2014-12-16Bibliographically approved

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