Tracking control for polynomial fuzzy networked systems with repeated scalar nonlinearities

This paper investigates the tracking control problem for nonlinear networked systems with repeated scalar nonlinearities. A polynomial fuzzy model based approach is employed to model the nonlinear systems. A polynomial fuzzy controller is designed to drive the system states to follow those of a given reference model. Imperfect communication links with two typical phenomenons (i.e., data packet dropout and signal quantization) are taken into account. Sufficient conditions are obtained in terms of sum of squares, which guarantee the stochastic stability and H∞H∞ performance constraint. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.