Fixed order LPV controller design for LPV models in input-output form

Cerone, Vito and Piga, Dario and Regruto, Diego and Tóth, Roland Fixed order LPV controller design for LPV models in input-output form. In: Proceedings of the 51st Annual Conference on Decision and Control (CDC). IEEE, pp. 6297-6302. ISBN 978-1-4673-2064-1 (2012)

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Abstract

In this work, a new synthesis approach is proposed to design fixed-order H∞ controllers for linear parameter-varying (LPV) systems described by input-output (I/O) models with polynomial dependence on the scheduling variables. First, by exploiting a suitable technique for polytopic outer approximation of semi-algebraic sets, the closed loop system is equivalently rewritten as an LPV I/O model depending affinely on an augmented scheduling parameter vector constrained inside a polytope. Then, the problem is reformulated in terms of bilinear matrix inequalities (BMI) and solved by means of a suitable semidefinite relaxation technique.

Item Type:	Book Section
Identification Number:	https://doi.org/10.1109/CDC.2012.6426281
Additional Information:	51st IEEE Conference on Decision and Control, held in Maui, Hawaii (USA); December 10-13 2012
Uncontrolled Keywords:	Approximation methods; Closed loop systems; Linear matrix inequalities; Optimization; Polynomials; Stability analysis Vectors
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area:	Computer Science and Applications
Depositing User:	Ms T. Iannizzi
Date Deposited:	09 Jan 2015 13:32
Last Modified:	09 Jan 2015 13:32
URI:	http://eprints.imtlucca.it/id/eprint/2452

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