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Hénon混沌系统广义预测控制无静差快速算法
引用本文:陈志旺,刘文龙.Hénon混沌系统广义预测控制无静差快速算法[J].物理学报,2011,60(1):10512-010512.
作者姓名:陈志旺  刘文龙
作者单位:(1)燕山大学工业计算机控制工程河北省重点实验室,秦皇岛 066004; (2)燕山大学工业计算机控制工程河北省重点实验室,秦皇岛 066004;大庆石油学院应用技术学院,秦皇岛 066004
基金项目:国家自然科学基金(批准号:60774018)和河北省自然科学基金(批准号:F2010001322)资助的课题.
摘    要:提出了一种具有无静差跟踪性能的Hénon混沌系统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,并将MP神经元网络与BP算法相结合在线调整柔化因子,实现系统对参考信号的无静差快速跟踪.该算法避免了矩阵求逆计算,能够很好地跟踪参考信号.仿真结果验证了该方法的有效性. 关键词: 广义预测控制 Hénon混沌系统 前馈增益矩阵 柔化矩阵

关 键 词:广义预测控制  Hénon混沌系统  前馈增益矩阵  柔化矩阵
收稿时间:2010-04-25

A fast algorithm without static error for generalized predictive control of Hénon chaotic system
Chen Zhi-Wang,Liu Wen-Long.A fast algorithm without static error for generalized predictive control of Hénon chaotic system[J].Acta Physica Sinica,2011,60(1):10512-010512.
Authors:Chen Zhi-Wang  Liu Wen-Long
Institution:Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China;Key Laboratory of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China;The Applied Technology College of DaQing Petroleum Institute, Qinhuangdao 066004, China
Abstract: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.
Keywords:generalized predictive control  Hénon chaotic system  feedforward gain matrix  softening coefficient matrix
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