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Robust H-infinity estimation for continuous-time polytopic uncertain systems

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Abstract

The design of full-order robust H-infinity estimators is investigated for continuous-time polytopic uncertain systems. The main purpose is to obtain a stable and proper linear estimator such that the estimation error system remains robustly stable with a prescribed H-infinity attenuation level. Based on a recently proposed H-infinity performance criterion which exhibits a kind of decoupling between die Lyapunov matrix and the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design.

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Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, China

    Aiguo Wu & Guangren Duan

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  1. Aiguo Wu
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  2. Guangren Duan
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Additional information

This work was supported by the Chinese National Natural Science Foundation (No.60374024) .

Aiguo WU was born in Gong’an County, Hubei Province on September 20, 1980. He received his B. E. degree in Automation in 2002 and M. E. degree in Navigation, Guidance and Control in 2004 from Harbin Institute of Technology . Currently, he is pursuing his Ph. D degree in J the Center for Control Systems and Guidance I Technology at Harbin Institute of Technology. His research interests include robust control and estimation, observer design and descriptor linear systems. E-mail: agwu@163.com, ag.wu@163.com.

Guangren DUAN was born in Heilongjiang Province on April 5,1962. He received his B. S. degree in Applied Mathematics, and both his M. S. and Ph. D. degrees in Control Systems Theory. From 1989 to 1991, he was a post-doctoral researcher at Harbin Institute of Technology, where he became a professor of control systems theory in 1991. Prof. Duan visited the University of Hull, UK, and the University of Sheffield, UK from December 1996 to October 1998, and worked at the Queen’s University of Belfast, UK from October 1998 to October 2002. Since August 2000, he has been elected Specially Employed Professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the Director of the Center for Control Systems and Guidance Technology at Harbin Institute of Technology. His main research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot control and magnetic bearing control. E-mail: g.r.duan@hit.edu.cn, grduan@21cn.com.

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Wu, A., Duan, G. Robust H-infinity estimation for continuous-time polytopic uncertain systems. J. Control Theory Appl. 3, 393–398 (2005). https://doi.org/10.1007/s11768-005-0030-5

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  • DOI: https://doi.org/10.1007/s11768-005-0030-5

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