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Robust H ∞ filtering for discrete-time impulsive systems with uncertainty

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Abstract

This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H ∞ performance. First, an impulsive linear filter and a robust H ∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a sufficient condition of asymptotical stability and H ∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to show effectiveness of the obtained result.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, 200092, P. R. China

    Sheng-tao Pan  (潘圣韬) & Ji-tao Sun  (孙继涛)

Authors
  1. Sheng-tao Pan  (潘圣韬)
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  2. Ji-tao Sun  (孙继涛)
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Corresponding author

Correspondence to Ji-tao Sun  (孙继涛).

Additional information

(Communicated by Shi-qiang DAI)

Project supported by the National Natural Science Foundation of China (No. 60874027)

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Pan, St., Sun, Jt. Robust H ∞ filtering for discrete-time impulsive systems with uncertainty. Appl. Math. Mech.-Engl. Ed. 30, 229–236 (2009). https://doi.org/10.1007/s10483-009-0210-6

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  • DOI: https://doi.org/10.1007/s10483-009-0210-6

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Chinese Library Classification

2000 Mathematics Subject Classification

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