Adaptive identification of continuous-time switched linear and piecewise linear systems

Author

Kersting, Stefan ; Buss, Martin

Author_Institution

Inst. of Autom. Control Eng. (LSR), Tech. Univ. Munchen, Munich, Germany

fYear

2014

fDate

24-27 June 2014

Firstpage

31

Lastpage

36

Abstract

This paper presents a novel procedure for the online identification of continuous-time switched linear systems. The proposed procedure is an extension of the well studied series-parallel parameter identifiers in adaptive control. With the proposed results, it is possible to identify the submodels of a switched system online, independent of the nature of the switching signal. As a special case, the procedure is applied to the identification of piecewise linear systems with known regions. Analytical proofs for stability and parameter convergence are given. Numerical simulations validate the results.

Keywords

adaptive control; continuous time systems; linear systems; parameter estimation; piecewise linear techniques; stability; time-varying systems; adaptive control; adaptive identification; continuous-time switched linear systems; numerical simulations; online identification; parameter convergence; piecewise linear systems; series-parallel parameter identifiers; stability analytical proofs; switching signal; Adaptive control; Bismuth; Convergence; Linear systems; Lyapunov methods; Switches; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862160

Filename

6862160