Exponential stability control for T-S fuzzy nonlinear stochastic networked control systems

The problem of exponential stability control for nonlinear stochastic networked control systems is considered in this paper. A model of nonlinear networked control systems with stochastic delays is derived by using the T-S method. The networked induced delays are assumed to satisfy some stochastic characteristics. Corresponding to the probability of the delays taking value in different interval, a stochastic variable satisfying Bernoulli distribution is introduced. With the Lyapunov stability theorem, a exponential stability condition and a state feedback controller design method are given. All the conditions are expressed in terms of LMI. Finally, a numerical example is given to demonstrate the validity of the results.