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Robust Quantized Generalized Filtering for Uncertain Discrete-Time Fuzzy Systems

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  • Jidong Wang
  • Xiaoping Si
  • Kezhen Han

Abstract

This paper deals with the problem of robust generalized filter design for uncertain discrete-time fuzzy systems with output quantization. Firstly, the outputs of the system are quantized by a memoryless logarithmic quantizer before being transmitted to a filter. Then, attention is focused on the design of a generalized filter to mitigate quantization effects, such that the filtering error systems ensure the robust stability with a prescribed generalized noise attenuation level. Via applying Finsler lemma to introduce some slack variables and using the fuzzy Lyapunov function, sufficient conditions for the existence of a robust generalized filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Jidong Wang & Xiaoping Si & Kezhen Han, 2015. "Robust Quantized Generalized Filtering for Uncertain Discrete-Time Fuzzy Systems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:807254
    DOI: 10.1155/2015/807254
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