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提出了一种Rössler超混沌系统多变量广义预测控制快速算法.采用改进的时变遗忘因子递推最小二乘方法辨识混沌系统,通过在常规多变量广义预测控制性能指标函数中引入前馈增益矩阵与柔化矩阵,实现系统对参考信号的快速跟踪.该算法降低了求逆矩阵的维数,从而减少了计算量.仿真结果验证了该方法的有效性和实用性.
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关键词:
- 广义预测控制 /
- Rö /
- ssler超混沌系统 /
- 前馈增益矩阵 /
- 柔化矩阵
A kind of fast multivariable generalized predictive control algorithm for Rössler hyperchaotic system is proposed. The chaotic system with improved recursive least squares parameter of time-varying forget factor is identified, then the output signals of the system follow fast the reference ones for the application of the feedforward gain matrix and softing coefficient matrix in regular performance index function of multivariable generalized predictive control. Moreover, the reduction of inverse matrix dimensions leads to smaller amount of computation of the algorithm. The simulation results show the effectiveness and practicability of this algorithm.-
Keywords:
- generalized predictive control /
- Rö /
- ssler hyperchaotic system /
- feedforward gain matrix /
- softing 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 Acta Phys. Sin. 59 2250(in Chinese)[朱少平、钱富才、刘 丁 2010 物理学报 59 2250]
[4] 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]
[5] 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]
[6] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕 2009 物理学报 58 5209]
[7] Qin J, Yu H J 2007 Acta Phys. Sin. 56 6828(in Chinese)[秦 洁、于洪洁 2007 物理学报 56 6828]
[8] Zhao L D, Hu J B, Liu X H 2010 Acta Phys. Sin. 59 2305(in Chinese)[赵灵冬、胡建兵、刘旭辉 2010 物理学报 59 2305]
[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]
[12] Zheng D Z 2002 Linear System Theory(Second Edition)(Beijing: Tsinghua University Press) p441 (in Chinese)[郑大钟 2002 线性系统理论(第2版)(北京:清华大学出版社) 第441页]
[13] Li Q A, Chu J 2006 Journal of Zhejiang University(Engineering Science) 40 541(in Chinese)[李奇安、褚 健 2006 浙江大学学报(工学版)40 541]
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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 Acta Phys. Sin. 59 2250(in Chinese)[朱少平、钱富才、刘 丁 2010 物理学报 59 2250]
[4] 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]
[5] 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]
[6] Wen S H 2009 Acta Phys. Sin. 58 5209(in Chinese)[温淑焕 2009 物理学报 58 5209]
[7] Qin J, Yu H J 2007 Acta Phys. Sin. 56 6828(in Chinese)[秦 洁、于洪洁 2007 物理学报 56 6828]
[8] Zhao L D, Hu J B, Liu X H 2010 Acta Phys. Sin. 59 2305(in Chinese)[赵灵冬、胡建兵、刘旭辉 2010 物理学报 59 2305]
[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]
[12] Zheng D Z 2002 Linear System Theory(Second Edition)(Beijing: Tsinghua University Press) p441 (in Chinese)[郑大钟 2002 线性系统理论(第2版)(北京:清华大学出版社) 第441页]
[13] Li Q A, Chu J 2006 Journal of Zhejiang University(Engineering Science) 40 541(in Chinese)[李奇安、褚 健 2006 浙江大学学报(工学版)40 541]
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