Abstract

A discrete-time jump fuzzy system is proposed in this chapter for the modeling and control of a class of nonlinear networked control systems (NCS) with random but bounded communication delays and packets dropout. Above all, a guaranteed cost control with state feedback is developed by constructing a sub-optimal performance controller for the discretetime jump fuzzy systems in such a way that a piecewise quadratic Lyapunov function (PQLF) can be used to establish the global stability of the resulting closed-loop fuzzy control system. A homotopy-based iterative algorithm solving for linear matrix inequality (LMI) is developed to get the feedback gains. When not all states are available, an output feedback controller is designed. For the NCS based on the mixed networks, a neuro-fuzzy controller is develped, which is composed of three parts: a guaranteed cost state-feedback controller, an adaptive neuro-fuzzy inference system (ANFIS) predictor and a fuzzy controller. The ANFIS predictor is used to improve the performance of the NCS when network delay is longer. Simulation examples are carried out to show the effectiveness of the proposed approaches.

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