Robust Quantized Generalized Filtering for Uncertain Discrete-Time Fuzzy Systems

Jidong Wang, Xiaoping Si and Kezhen Han

Mathematical Problems in Engineering, 2015, vol. 2015, 1-11

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:807254

DOI: 10.1155/2015/807254

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