Abstract: For a class of uncertain networked stochastic T-S(Takagi-Sugeno) fuzzy systems with time-varying delay, quantization error, the problem of hybrid-triggered robust H∞ control system with two-terminal quantization is studied. Firstly, in order to alleviate the burden of networked communication, a hybrid-triggered scheme is adopted to reduce data transmission. The construction of quantizers at the sensor side and the actuator side is stadied to quantify the sampling and control signal respectively, and the quantization error is considered to improve the control accuracy of the system. By taking the effect of network-induced delay, uncertainty and quantization error are taken into consideration, the T-S fuzzy systems based on the hybrid-triggered mechanism is remodeled. Secondly, by selecting the delay-dependent and fuzzy basis-dependent Lyapunov function, and introducing the free weight matrix, the sufficient conditions for the double-terminal quantized fuzzy system are satisfied, and the influence of energy bounded noise signals on the output is suppressed under the H∞ performance index γ. Finally, the simulation proves that the proposed scheme can reduce data transmission effectively, improve the system control accuracy, and reduce the conservatism of design. 

Key words: networked stochastic systems, takagi-sugeno(T-S) fuzzy model, hybrid-triggered scheme, two- terminal quantization, fuzzy basis-dependent