Persistence of excitation for identifying switched linear systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2022 English Publisher:Elsevier BVJournal:Automatica, volume 137, page 110,142 (issn: 0005-1098,

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Authors: Bi-Qiang Mu; Tianshi Chen 0001; Changming Cheng; Er-Wei Bai;

doi: 10.1016/j.automatica.2021.110142

pmid: 35095107

pmc: PMC8794347

Persistence of excitation for identifying switched linear systems

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Abstract

This paper investigates the uniqueness of parameters via persistence of excitation for switched linear systems. The main contribution is a much weaker sufficient condition on the regressors to be persistently exciting that guarantees the uniqueness of the parameter sets and also provides new insights in understanding the relation among different subsystems. It is found that for uniquely determining the parameters of switched linear systems, the needed minimum number of samples derived from our sufficient condition is much smaller than that reported in the literature.

Related Organizations

Chinese Academy of Sciences
China (People's Republic of)
State Key Laboratory of Mechanical System and Vibration
China (People's Republic of)
University of Iowa
United States
Dept. of Electrical and Computer Engineering
United States
Chinese University of Hong Kong
China (People's Republic of)

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Keywords

switched linear systems, persistence of excitation, Linear systems in control theory, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)

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