T-S FUZZY MODEL-BASED MEMORY CONTROL FOR DISCRETE-TIME SYSTEM WITH RANDOM INPUT DELAY

A memory control for T-S fuzzy discrete-time systems with stochastic input delay is proposed in this paper. Different from the common assumptions on the time delay in the existing literatures, it is assumed in this paper that the delays vary randomly and satisfy some probabilistic distribution. A new state space model of the discrete-time T-S fuzzy system is derived by introducing some stochastic variables satisfying Bernoulli random binary distribution and using state augmentation method, some criterion for the stochastic stability analysis and stabilization controller design are derived for T-S fuzzy systems with stochastic time-varying input delay. Finally, a numerical example is given to demonstrate the effectiveness and the merit of the proposed method.