Reliable Fuzzy Control for a Class of Nonlinear Networked Control Systems with Time Delay

This paper is concerned with reliable fuzzy control for a class of nonlinear networked control systems (NCSs) with state delay and actuator failures. By utilizing the input delay approach, an equivalent continuous-time generalized Takagi-Sugeno (T-S) fuzzy model with both interval time-varying network-induced delay and data packet dropout is obtained. By employing the delay decomposition approach, the information of the states of delayed plant can be taken into full consideration. A sufficient condition is formulated in the form of a nonconvex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequality (LMI) with the cone complementarity linearization algorithm. The key features of the approach include the use of a tighter bounding technique (reciprocally convex combination lemma) and the introduction of uncorrelated augmented matrix items into the Lyapunov functional. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.