Persistence of Excitation for Identifying Switched Linear Systems

Biqiang Mu; Tianshi Chen; Changming Cheng; Er-Wei Bai

doi:10.1016/j.automatica.2021.110142

Persistence of Excitation for Identifying Switched Linear Systems

Automatica (Oxf). 2022 Mar:137:110142. doi: 10.1016/j.automatica.2021.110142. Epub 2022 Jan 7.

Authors

Biqiang Mu¹, Tianshi Chen², Changming Cheng³, Er-Wei Bai⁴

Affiliations

¹ Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
² School of Science and Engineering and Shenzheng Research Institute of Big Data, The Chinese University of Hong Kong, ShenZheng 518172, China.
³ State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiaotong University, Shanghai, China.
⁴ Dept. of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa 52242.

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.

Keywords: Persistence of excitation; Switched linear systems.

Abstract

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