| Gaia: | This paper concerns with the finite-time filter design problem for discrete-time nonlinear networked system subject to quantization effect and denial-of-service (DoS) attacks via dynamic event-triggered scheme (DETS). The nonlinear networked system is presented by Takagi-Sugeno (T-S) fuzzy model. The dynamic event-triggered generator and logarithmic quantizer are employed to save the limited network bandwidth. A stochastic Bernoulli distribution variable is used to characterize the effect of the randomly occurring DoS attacks in communication channel. By a generalized performance index, the finite-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty} $ </tex-math></inline-formula> filtering and <inline-formula> <tex-math notation="LaTeX">$l_{2}-l_{\infty} $ </tex-math></inline-formula> filtering problem are accessed under a unified framework. The filtering error model is well established by taking event-triggered scheme, logarithmic quantization, and DoS attacks into account. The sufficient conditions for the existence of an acceptable filter are derived such that the filtering error system is finite-time stochastic bounded with the prescribed <inline-formula> <tex-math notation="LaTeX">$H_{\infty} $ </tex-math></inline-formula> or <inline-formula> <tex-math notation="LaTeX">$l_{2}-l_{\infty} $ </tex-math></inline-formula> performance. The filter gains and the event-triggered communication parameter are co-designed by solving these inequality sufficient conditions. Finally, a simulation study is performed to demonstrate the effectiveness of the proposed approach.
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