Modeling and stabilization for a class of nonlinear networked control systems: a T-S fuzzy approach |
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Authors: | Xinchun Jia Dawei Zhang Lihong Zheng Nanning Zheng |
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Affiliation: | 1. School of Mathematics Science, Shanxi University, Taiyuan 030006, China 2. Institute of Artificial Intelligent and Robotics, Xi'an Jiaotong University, Xi'an 710049, China |
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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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Keywords: | Nonlinear networked control systems Takagi-Sugeno (T-S) fuzzy systems Stabilization Packet losses Network-induced delay Linear matrix inequality (LMI) |
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