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A kind of fast generalized predictive function control algorithm with convergence of tracking for Hnon chaotic system is proposed. First, based on the existing generalized predictive function control algorithm, the matrix inversion computation in the control law is avoided because special basis functions are selected according to the motion characteristics of chaotic system and the change trend of practical control input. Then, by introducing the determinate feedforward gain matrix into performance index function, it is convergent that the output of Hnon chaotic system follows reference signal. The simulated results show the effectiveness of this algorithm.
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Keywords:
- generalized predictive control /
- predictive function control /
- Hnon chaotic system /
- feedforward gain matrix
[1] Zhang Y W, Qin S J, Hesketh T 2009 Chao. Sol. Frac. 39 1463
[2] Zhu S P, Qian F C, Liu D 2010 Chin. Phys. B 19 2250
[3] Yan X M, Liu D, Guo H J 2010 Control Theory & Appl. 27 344 (in Chinese)[阎晓妹、刘 丁、郭会军 2010 控制理论与应用 27 344]
[4] Wu R C, Guo Y X 2010 Acta Phys. Sin. 59 5293 (in Chinese)[吴然超、郭玉祥 2010 物理学报 59 5293]
[5] Liu F C, Liang X M, Song J Q 2008 Acta Phys. Sin. 57 1458 (in Chinese)[刘福才、梁晓明、宋佳秋 2008 物理学报 57 1458]
[6] Sun K H, Yang J L, Ding J F, Sheng L Y 2010 Acta Phys. Sin. 59 8385(in Chinese)[孙克辉、杨静利、丁家峰、盛利元 2010 物理学报 59 8385]
[7] Meng J, Wang X Y 2009 Acta Phys. Sin. 58 819(in Chinese) [孟 娟、王兴元 2009 物理学报 58 819]
[8] Wang Y Q, Zhou D H, Gao F R 2009 J. Proc. Cont. 19 803
[9] Ding B C 2008 Predictive Control Theory and Methods(Beijing: China Machine Press) p54 (in Chinese)[丁宝苍 2008 预测控制的理论与方法(北京:机械工业出版社) 第54页]
[10] Shen G L, Zhao J, Qian J X 2008 J. Chem. Indus. Engin. 59 118(in Chinese)[沈国良、赵 均、钱积新 2008 化工学报 59 118]
[11] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕 2009 物理学报 58 5209]
[12] Li Y J, Zhang K 2009 System Identification Theory and Applications(Beijing: National Defense Industry Press) p114 (in Chinese)[李言俊、张 科 2009 系统辨识理论及应用(北京: 国防工业出版社) 第114页]
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[1] Zhang Y W, Qin S J, Hesketh T 2009 Chao. Sol. Frac. 39 1463
[2] Zhu S P, Qian F C, Liu D 2010 Chin. Phys. B 19 2250
[3] Yan X M, Liu D, Guo H J 2010 Control Theory & Appl. 27 344 (in Chinese)[阎晓妹、刘 丁、郭会军 2010 控制理论与应用 27 344]
[4] Wu R C, Guo Y X 2010 Acta Phys. Sin. 59 5293 (in Chinese)[吴然超、郭玉祥 2010 物理学报 59 5293]
[5] Liu F C, Liang X M, Song J Q 2008 Acta Phys. Sin. 57 1458 (in Chinese)[刘福才、梁晓明、宋佳秋 2008 物理学报 57 1458]
[6] Sun K H, Yang J L, Ding J F, Sheng L Y 2010 Acta Phys. Sin. 59 8385(in Chinese)[孙克辉、杨静利、丁家峰、盛利元 2010 物理学报 59 8385]
[7] Meng J, Wang X Y 2009 Acta Phys. Sin. 58 819(in Chinese) [孟 娟、王兴元 2009 物理学报 58 819]
[8] Wang Y Q, Zhou D H, Gao F R 2009 J. Proc. Cont. 19 803
[9] Ding B C 2008 Predictive Control Theory and Methods(Beijing: China Machine Press) p54 (in Chinese)[丁宝苍 2008 预测控制的理论与方法(北京:机械工业出版社) 第54页]
[10] Shen G L, Zhao J, Qian J X 2008 J. Chem. Indus. Engin. 59 118(in Chinese)[沈国良、赵 均、钱积新 2008 化工学报 59 118]
[11] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕 2009 物理学报 58 5209]
[12] Li Y J, Zhang K 2009 System Identification Theory and Applications(Beijing: National Defense Industry Press) p114 (in Chinese)[李言俊、张 科 2009 系统辨识理论及应用(北京: 国防工业出版社) 第114页]
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