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Formulation of the Stability Margins Clearance Criterion As a Convex Optimization Problem
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2009 (English)Report (Other academic)
Abstract [en]

This paper presents the formulation of a flight clearance criterion as a convex optimization problem. The criterion is the stability margins criterion which is specified as an allowable phase and gain margin of a certain loop transfer function. The satisfaction of the criterion amounts to the Nichols plot of the loop transfer function being outside a specified trapezoidal region. It was shown previously that the exclusion condition from an ellipsoidal region is implied by using the generalized stability margin bPC and its calculation was performed frequency-wise by solving a sequence of convex optimization problems. In this paper we formulate the calculation of a lower bound on bPC as a convex optimization problem using Integral Quadratic Constraints (IQCs) and avoid the gridding procedure in the frequency domain. Furthermore, we formulate the problem of obtaining a lower bound on the perturbed stability margin, which is defined as the worst-case bPCover variations in real uncertain parameters.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2009. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2920
Keyword [en]
Robust Stability and Performance, Computational Methods, LMI and Convex Optimization
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56212ISRN: LiTH-ISY-R-2920OAI: oai:DiVA.org:liu-56212DiVA: diva2:317019
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-22Bibliographically approved

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Papageorgiou, ChristosFalkeborn, RikardHansson, Anders

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • de-DE
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Output format
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