Exponential Stability Control for T-S Fuzzy Uncertain Networked Systems with Time Delay

Abstract

This paper considers the problem of exponential stability control for nonlinear uncertain networked control systems. Based on the T-S method, a model of nonlinear networked control systems is obtained. Corresponding to the probability of the delays taking value in different interval, a stochastic variable satisfying Bernoulli distribution is introduced and a new fuzzy networked control systems is built by employing the information of the probability distribution. With the Lyapunov stability theorem, the mean-square exponential stability conditions and the state feedback fuzzy controller design methods are given in terms of LMI. Finally, a numerical example is given to demonstrate the validity of the results.