Quantized filtering for networked Takagi–Sugeno fuzzy systems with multipath data packet dropouts

Abstract

This paper concerns the mixed H ∞ and passivity-based filtering problem for networked nonlinear systems with randomly occurring parameter uncertainties, multipath data packet dropouts, time-varying delay, and quantization effects.The discrete-time nonlinear plant considered in this paper is modeled as a Takagi-Sugeno fuzzy system with plant rules. The data missing phenomenon is considered in both measurement and performance output signals due to the unreliable nature of communication links. Further, to reduce the network bandwidth utilization, the measurement quantization is also employed for both the outputs before transmitting through the communication channel. Also, additive filter gain fluctuation is taken into account to reflect the imprecision in filter implementation. Stochastic variables obeying the Bernoulli distribution are incorporated in the model description to characterize the random occurrence of parameter uncertainties and data packet dropouts. A set of sufficient conditions assuring the stochastic stability of the filtering error system with mixed H ∞ and passivity performance is derived according to Lyapunov stability theory. Finally, three numerical examples including mass-spring-damper and tunnel diode circuit model are established to establish the validity of the developed filter design algorithm.