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International Journal of Control Volume 81, 2008 - Issue 5
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Original Articles

Robust dichotomy of the Lur'e system with structured uncertainties

Ao Dun Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, P.R. ChinaCorrespondence[email protected]
,
Zhiyong Geng Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, P.R. China
&
Lin Huang Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, P.R. China
Pages 778-787 | Received 18 Jan 2007, Accepted 22 Jul 2007, Published online: 08 Apr 2008
 
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Abstract

This paper is concerned with the problem of robust dichotomy of a Lur'e system with norm constraint structured uncertainties, which represent numerous kinds of uncertainties, including mixed real/complex dynamic uncertainties. Leonov's frequency-domain dichotomy condition for Lur'e systems is generalized to the situation where the linear part of the system includes structured uncertainties. By applying the structured singular value of an operator to structured uncertainty, the results on robust dichotomy analysis of the Lur'e system are obtained. Finally a numerical example is included to demonstrate the validity and the applicability of the proposed approach.

Acknowledgment

This work is supported by National Science Foundation of China under grant 60374039, 60334030.

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