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Robust H-infinity filtering for uncertain discrete-time systems using parameter-dependent Lyapunov functions

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Abstract

This paper deals with H-infinity filtering of discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. By using the parameter-dependent Lyapunov function approach and introducing some slack matrix variables, a new sufficient condition for the H-infinity filter design is presented in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing results for H-infinity filter design, the main advantage of the proposed design method is the reduced conservativeness. An example is provided to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou Liaoning, 121013, China

    Xiaoheng Chang

  2. Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and College of Information Science and Engineering, Northeastern University, Shenyang Liaoning, 110004, China

    Guanghong Yang

Authors
  1. Xiaoheng Chang
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  2. Guanghong Yang
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Correspondence to Xiaoheng Chang.

Additional information

This work of X. CHANG was partly supported by the Scientific Research Program for the Education Department of Liaoning Province of China (No. 2008017), the Postdoctoral Science Foundation of China (No. 20090451275), and the Funds of National Science of China (No. 61104071).

Xiaoheng CHANG is an associate professor at the College of Engineering, Bohai University, China. His research interests include fuzzy control, robust control, and nonfragile control.

Guanghong YANG is a professor at Northeastern University. His current research interests include fault-tolerant control, fault detection and isolation, and robust control. He is also a senior member of IEEE, an associate editor of the International Journal of Control, Automation and Systems (IJCAS) and the Conference Editorial Board of IEEE Control Systems Society.

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Chang, X., Yang, G. Robust H-infinity filtering for uncertain discrete-time systems using parameter-dependent Lyapunov functions. J. Control Theory Appl. 11, 122–127 (2013). https://doi.org/10.1007/s11768-013-1072-8

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  • DOI: https://doi.org/10.1007/s11768-013-1072-8

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