Enforcing stability constraints in set-membership identification of linear dynamic systems

V. Cerone, D. Piga, D. Regruto

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)

Abstract

In this paper, we consider the identification of linear systems, a priori known to be stable, from input–output data corrupted by bounded noise. By taking explicitly into account a priori information on system stability, a formal definition of the feasible parameter set for a stable linear system is provided. 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 parameter uncertainty intervals. Properties of the computed relaxed bounds are discussed. A simulated example is presented to show the effectiveness of the proposed technique
Original languageEnglish
Pages (from-to)2488-2494
Number of pages7
JournalAutomatica
Volume47
Issue number11
DOIs
Publication statusPublished - 2011

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