Quantized H∞ sliding mode control for discrete T‐S fuzzy systems with stochastic DoS attacks and time‐varying delays

This paper focuses on the quantized sliding mode control (SMC) problem for discrete‐time T‐S fuzzy delayed systems with stochastic denial‐of‐service (DoS) attacks. In a limited bandwidth and vulnerable network environment, a dynamic quantization scheme is proposed to quantize state signals, where the quantization parameter can be adjusted online by introducing a smooth transition region. Then, a one‐step memory sliding surface is designed, and a fuzzy SMC law is developed using quantized signals and attack information. Additionally, sufficient conditions independent of the membership function are presented, which ensure that the resultant closed‐loop fuzzy system is mean square stable with satisfactory performance. Simultaneously, the reachability of the designed sliding surface is discussed and checked. Subsequently, in order to minimize the disturbance attenuation level , an optimization problem is established. Finally, the applicability of proposed SMC scheme is demonstrated by a nonlinear circuit model.