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Enhanced H ∞ filtering for continuous-time state-delayed systems

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Abstract

The H ∞ filtering problem for continuous-time polytopic uncertain time-delay systems is investigated. Attention is focused on the design of full-order filters guaranteeing a prescribed H ∞ attenuation level for the filtering error system. First, a simple alternative proof is given for an improved linear matrix inequality (LMI) representation of H ∞ performance. Then, based on the performance criterion which keeps Lyapunov matrices out of the product of system dynamic matrices, a sufficient condition for the existence of robust estimators is formulated in terms of LMIs, and the corresponding filter design is cast into a convex optimization problem which can be efficiently handled by using standard numerical algorithms. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than some earlier results. A numerical example is employed to demonstrate the feasibility and advantage of the proposed design.

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Authors and Affiliations

  1. Institute of Information and Control, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, PRC

    Ying Zhang, Ai-Guo Wu & Guang-Ren Duan

  2. Department of Automation, Harbin University of Science and Technology, Harbin, 150080, PRC

    Ying Zhang

  3. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, PRC

    Ai-Guo Wu & Guang-Ren Duan

Authors
  1. Ying Zhang
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  2. Ai-Guo Wu
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  3. Guang-Ren Duan
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Corresponding author

Correspondence to Ying Zhang.

Additional information

This work was supported by National Natural Science Foundation of China (No. 60772046), Program for Changjiang Scholars and Innovative Research Team in University, and Natural Science Foundation of Heilongjiang Province (No. F2007-13).

Ying Zhang received the M.Eng. degree in control theory and control engineering from Harbin University of Science and Technology, PRC, in 2003, and Ph.D. degree in control science and engineering in 2007 from Harbin Institute of Technology, PRC. In April 2003, she joined Harbin University of Science and Technology as an assistant teacher. She is currently a post-doctoral student in Shenzhen Graduate School, Harbin Institute of Technology.

Her research interests include robust control, filter theory, and networked control systems.

Ai-Guo Wu received the B.Eng. degree in automation in 2002, M. Eng. degree in navigation, guidance, and control in 2004, and Ph.D. degree in control science and engineering in 2008 all from Harbin Institute of Technology, PRC. In October 2008, he joined Harbin Institute of Technology Shenzhen Graduate School as an assistant professor. He has served as a general secretary of the 25th Chinese Control Conference at Harbin, PRC, in 2006.

His research interests include observer design, descriptor linear systems, and robust control and estimation.

Guang-Ren Duan received the B. Sc. degree in applied mathematics, and both the M. Sc. 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. He 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, PRC, sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the director of the Center for Control Theory and Guidance Technology at Harbin Institute of Technology. He is a charted engineer in the UK, a senior member of IEEE, and a fellow of IEE.

His research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot design, and magnetic bearing control.

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Zhang, Y., Wu, AG. & Duan, GR. Enhanced H ∞ filtering for continuous-time state-delayed systems. Int. J. Autom. Comput. 6, 159–163 (2009). https://doi.org/10.1007/s11633-009-0159-7

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  • DOI: https://doi.org/10.1007/s11633-009-0159-7

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