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Formulation of the ...
Formulation of the Stability Margins Clearance Criterion As a Convex Optimization Problem
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- Papageorgiou, Christos (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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- Falkeborn, Rikard (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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- Hansson, Anders, 1964- (författare)
- Linköpings universitet,Reglerteknik,Tekniska högskolan
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2009
- 2009
- Engelska.
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Serie: LiTH-ISY-R, 1400-3902 ; 2920
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Ingår i: Proceedings of the 6th IFAC Symposium on Robust Control Design. - Linköping : Linköping University Electronic Press. - 9783902661456 ; , s. 325-330
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Abstract
Ämnesord
Stäng
- 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 bPC over variations in real uncertain parameters.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Robust Stability and Performance
- Computational Methods
- LMI and Convex Optimization
- Optimization, systems theory
- Optimeringslära, systemteori
- TECHNOLOGY
- TEKNIKVETENSKAP
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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