Bounding the parameters of linear systems with stability constraints

Cerone, Vito and Piga, Dario and Regruto, Diego Bounding the parameters of linear systems with stability constraints. In: Proceedings of American Control Conference (ACC), 2010. IEEE, pp. 2152-2157. ISBN 978-1-4244-7426-4 (2010)

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Abstract

Identification of linear systems, a priori known to be stable, from input output measurements corrupted by bounded noise is considered in the paper. A formal definition of the feasible parameter set is provided, taking explicitly into account prior information on system stability. On the basis of a detailed analysis of the geometrical structure of the feasible set, convex relaxation techniques are presented to solve nonconvex optimization problems arising in the computation of parameters uncertainty intervals. Properties of the computed relaxed bounds are discussed. A simulated example is presented to show the effectiveness of the proposed technique.

Item Type:	Book Section
Identification Number:	https://doi.org/10.1109/ACC.2010.5531340
Additional Information:	2010 American Control Conference, held in Marriott Waterfront (USA), June 30-July 02, 2010
Uncontrolled Keywords:	LMI relaxation; Set-membership identification; stability constraints
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 10:00
Last Modified:	09 Jan 2015 10:00
URI:	http://eprints.imtlucca.it/id/eprint/2440

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