International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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[ $H_{\infty}$ ] Filtering for Descriptor Systems

  • Chen, Yue-Peng (School of Automation, Wuhan University of Technology) ;
  • Zhou, Zu-De (Department of Mechantronic Engineering, Wuhan University of Technology) ;
  • Zeng, Chun-Nian (School of Automation, Wuhan University of Technology) ;
  • Zhang, Qing-Ling (Institute of Systems Science, College of Science, Northeastern University)
  • Published : 2006.12.30
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Abstract

The paper is concerned with $H_{\infty}$ filtering for descriptor systems. A necessary and sufficient condition is established in terms of linear matrix inequalities(LMIs) for the existence of normal filters such that the error systems are admissible and the transfer function from the disturbance to the filtering error output satisfies a prescribed $H_{\infty}$-norm bound constraint. When these LMIs are feasible, an explicit parameterization expression of all desired normal filter is given. All these results are yielded without decomposing the original descriptor systems, which makes the filter design procedure simple and direct. Finally, a numerical example is derived to demonstrate the applicability of the proposed approach.

Keywords

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