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

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Abstract

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.

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Jia, X., Zhang, D., Zheng, L., & Zheng, N. (2008). Modeling and stabilization for a class of nonlinear networked control systems: A T-S fuzzy approach. Progress in Natural Science, 18(8), 1031–1037. https://doi.org/10.1016/j.pnsc.2008.03.012

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