Robust Quantized Generalized H2 Filtering for Uncertain Discrete-Time Fuzzy Systems

Abstract EN

This paper deals with the problem of robust generalized H2 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 H2 filter to mitigate quantization effects, such that the filtering error systems ensure the robust stability with a prescribed generalized H2 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 H2 filter are expressed in terms of linear matrix inequalities (LMIs).

Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.