Fuzzy H∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout

This paper proposes a new fuzzy H ∞ finite impulse response (FIR) filter with quantization and packet dropout for Takagi–Sugeno (T–S) fuzzy systems with external disturbance. The measurements are quantized by a logarithmic quantizer and then transmitted from the plant to the filter imperfectly due to random packet loss described by the Bernoulli random process. The proposed fuzzy H ∞ FIR filter is in the form of fuzzy-basis-independent linear matrix inequalities (LMIs) that guarantee H ∞ performance. Two simulation examples are given to illustrate the effectiveness and robustness of the proposed fuzzy H ∞ FIR filter.