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A kind of fast generalized predictive control algorithm without static error for Hénon chaotic system is proposed. Firstly, the chaotic system is identified by improved recursive least squares parameter of time-varying forget factor. Then the softness factor is adjusted on line through combining MP neural network with BP algorithm, thus the fast tracking without static error of reference signa1 is realized by introducing the feedforward gain matrix and softening coefficient matrix into regular performance index function of generalized predictive control. The algorithm avoids the matrix inversion computation and has strong ability of tracking the reference signal. The simulated results show the effectiveness of this algorithm.
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Keywords:
- generalized predictive control /
- Hénon chaotic system /
- feedforward gain matrix /
- softening coefficient matrix
[1] Zhang Y W, Qin S J, Hesketh T 2009 Chaos, Solitons and Fractals 39 1463
[2] Liu X W, Huang Q Z, Gao X, Shao S Q 2007 Chin. Phys. 16 2272
[3] Zhu S P, Qian F C, Liu D 2010 Chin. Phys. B 19 02250
[4] Luo X H, Li H Q, Chen Q H 2009 Acta Phys. Sin. 58 7532(in Chinese)[罗小华、李华青、陈秋华 2009 物理学报 58 7532]
[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] Liu F C, Liang X M 2005 Acta Phys. Sin. 54 4584 (in Chinese)[刘福才、梁晓明 2005 物理学报 54 4584]
[7] Wen S H, Wang Z, Liu F C 2009 Acta Phys. Sin. 58 3753(in Chinese) [温淑焕、王 哲、刘福才2009 物理学报 58 3753]
[8] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕2009 物理学报 58 5209]
[9] Lu C H, Tsai C C 2007 Journal of Process Control 17 83
[10] Wang Y Q, Zhou D H, Gao F R 2009 Journal of Process Control 19 803
[11] 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]
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[1] Zhang Y W, Qin S J, Hesketh T 2009 Chaos, Solitons and Fractals 39 1463
[2] Liu X W, Huang Q Z, Gao X, Shao S Q 2007 Chin. Phys. 16 2272
[3] Zhu S P, Qian F C, Liu D 2010 Chin. Phys. B 19 02250
[4] Luo X H, Li H Q, Chen Q H 2009 Acta Phys. Sin. 58 7532(in Chinese)[罗小华、李华青、陈秋华 2009 物理学报 58 7532]
[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] Liu F C, Liang X M 2005 Acta Phys. Sin. 54 4584 (in Chinese)[刘福才、梁晓明 2005 物理学报 54 4584]
[7] Wen S H, Wang Z, Liu F C 2009 Acta Phys. Sin. 58 3753(in Chinese) [温淑焕、王 哲、刘福才2009 物理学报 58 3753]
[8] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕2009 物理学报 58 5209]
[9] Lu C H, Tsai C C 2007 Journal of Process Control 17 83
[10] Wang Y Q, Zhou D H, Gao F R 2009 Journal of Process Control 19 803
[11] 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]
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