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Input-Output LPV Model identification with guaranteed quadratic stability

Cerone, Vito and Piga, Dario and Regruto, Diego and Tóth, Roland Input-Output LPV Model identification with guaranteed quadratic stability. In: 16th IFAC Symposium on System Identification. IFAC, pp. 1767-1772. ISBN 978-3-902823-06-9 (2012)

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The problem of identifying linear parameter-varying (LPV) systems, a-priori known to be quadratically stable, is considered in the paper using an input-output model structure. To solve this problem, a novel constrained optimization-based algorithm is proposed which guarantees quadratic stability of the identified model. It is shown that this estimation objective corresponds to a nonconvex optimization problem, defined by a set of polynomial matrix inequalities (PMI), whose optimal solution can be approximated by means of suitable convex semidefinite relaxations. Applicability of such relaxation-based estimation approach in the presence of either stochastic or deterministic bounded noise is discussed. A simulation example is also given to demonstrate the effectiveness of the resulting identification method.

Item Type: Book Section
Identification Number: 10.3182/20120711-3-BE-2027.00242
Additional Information: 16th IFAC Symposium on System Identification held in Brussels (Belgium), 11-13 July 2012
Uncontrolled Keywords: LPV system; quadratic stability; polynomial optimization; convex relaxation
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 11:59
Last Modified: 09 Jan 2015 11:59
URI: http://eprints.imtlucca.it/id/eprint/2448

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