Modeling and stabilization for a class of nonlinear networked control systems: A T-S fuzzy approach

The stabilization problem for a class of nonlinear networked control systems (NCSs) is investigated in this paper. A Takagi–Sugeno (T-S) fuzzy model is employed to represent the nonlinear controlled plant in the NCSs. Based on parallel distributed compensation (PDC) technique, a novel model of the nonlinear NCSs is established firstly in consideration of both network-induced delay and packet losses in transmission. Then a stability condition of the nonlinear NCSs is presented in terms of linear matrix inequalities (LMIs) by using the Lyapunov–Krasovskii functional method and the delay input approach. Furthermore, the control design of the nonlinear NCSs is developed by means of LMIs. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.