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Constrained predictive control based on T-S fuzzy model for nonlinear systems
作者单位:Su Baili(Dept. of Automation, Nankai Univ., Tianjin 300071, P. R. China;Qufu Normal Univ., Qufu 273165, P. R. China) ; Chen Zengqiang(Dept. of Automation, Nankai Univ., Tianjin 300071, P. R. China) ; Yuan Zhuzhi(Dept. of Automation, Nankai Univ., Tianjin 300071, P. R. China) ;
摘    要:A constrained generalized predictive control (GPC) algorithm based on the T-S fuzzy model is presented for the nonlinear system. First, a Takagi-Sugeno (T-S) fuzzy model based on the fuzzy cluster algorithm and the orthogonalleast square method is constructed to approach the nonlinear system. Since its consequence is linear, it can divide the nonlinear system into a number of linear or nearly linear subsystems. For this T-S fuzzy model, a GPC algorithm with input constraints is presented. This strategy takes into account all the constraints of the control signal and its increment, and does not require the calculation of the Diophantine equations. So it needs only a small computer memory and the computational speed is high. The simulation results show a good performance for the nonlinear systems.

关 键 词:非线性系统  T-S模糊模型  约束预测控制  广义预测控制  模糊集
收稿时间:7 July 2005. 

Constrained predictive control based on T-S fuzzy model for nonlinear systems
Authors:Su Baili  Chen Zengqiang  Yuan Zhuzhi
Institution:1. Dept. of Automation, Nankai Univ., Tianjin 300071, P. R. China;Qufu Normal Univ., Qufu 273165, P. R. China
2. Dept. of Automation, Nankai Univ., Tianjin 300071, P. R. China
Abstract:A constrained generalized predictive control (GPC) algorithm based on the T-S fuzzy model is presented for the nonlinear system. First, a Takagi-Sugeno (T-S) fuzzy model based on the fuzzy cluster algorithm and the orthogonal least square method is constructed to approach the nonlinear system. Since its consequence is linear, it can divide the nonlinear system into a number of linear or nearly linear subsystems. For this T-S fuzzy model, a GPC algorithm with input constraints is presented. This strategy takes into account all the constraints of the control signal and its increment, and does not require the calculation of the Diophantine equations. So it needs only a small computer memory and the computational speed is high. The simulation results show a good performance for the nonlinear systems.
Keywords:Generalized predictive control (GPC)  Nonlinear system  T-S fuzzy model  Input constraint  Fuzzy cluster
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