DocumentCode :
1703073
Title :
Stability-preserving model order reduction for nonlinear time delay systems
Author :
Wang Qing ; Wong Ngai
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Hong Kong, Hong Kong, China
fYear :
2013
Firstpage :
1017
Lastpage :
1022
Abstract :
Delay elements are needed to model physical, industrial and engineering systems as action and reaction always come with latency. In this paper, we present an algorithm to obtain the reduced-order models (ROMs) while preserving the stability of nonlinear time delay systems (TDSs), which are approximated first by the piecewise-linear TDSs. One contribution is the derivation of the input-output stability of piecewise-linear TDSs, for the first time. The other is the preservation of the input-output stability of the ROMs. The system matrices are obtained by the left projection matrix from the solution of linear matrix inequalities (LMIs) for the input-output stability test of the original piecewise-linear TDSs and the right projection matrix from matching the estimated moments. An application example then verifies the effectiveness of the proposed method.
Keywords :
delay systems; delays; linear matrix inequalities; nonlinear control systems; piecewise linear techniques; reduced order systems; stability; LMI; ROM; delay elements; input-output stability; left projection matrix; linear matrix inequalities; nonlinear time delay systems; piecewise-linear TDS; reduced-order models; right projection matrix; stability-preserving model order reduction; Asymptotic stability; Linear matrix inequalities; Nonlinear systems; Numerical stability; Read only memory; Stability analysis; Vectors; Model order reduction; linear matrix inequality (LMI); nonlinear system; time delay;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
Type :
conf
Filename :
6639576
Link To Document :
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