| 一类混沌系统的混合参数自适应学习控制 |
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| 引用本文： | 彭波,孙云平,徐天伟,甘健侯,李臻. 一类混沌系统的混合参数自适应学习控制[J]. 云南师范大学学报(自然科学版), 2011, 31(4): 58-63 |
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| 作者姓名： | 彭波 孙云平 徐天伟 甘健侯 李臻 |
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| 作者单位： | 云南师范大学 信息学院,云南昆明,650092 |
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| 基金项目： | 云南省教育厅基金资助项目，云南省科技厅基金资助项目 |
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| 摘 要： | 提出了一种自适应学习控制方法,应用于未知周期时变参数的混沌系统的跟踪同步问题,该方法利用Lyapunov稳定性和自适应学习理论,构造了学习控制律和微分-差分参数学习律,在L2Τ-范数意义下使得跟踪误差在一个周期区间上渐近同步。给出了闭环系统稳定的一个充分条件。通过仿真例子验证了所提方案的可行性和有效性.
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| 关 键 词： | 混沌系统 混合型参数 学习控制 Lyapunov泛函 |
Adaptive Learning Control for Chaotic Systems with Mixed Parameters |
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| PENG Bo,SUN Yun-ping,XU Tian-wei,GAN Jian-hou,LI Zhen. Adaptive Learning Control for Chaotic Systems with Mixed Parameters[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2011, 31(4): 58-63 |
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| Authors: | PENG Bo SUN Yun-ping XU Tian-wei GAN Jian-hou LI Zhen |
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| Affiliation: | PENG Bo,SUN Yun-ping,XU Tian-wei,GAN Jian-hou,LI Zhen(College of Information,Yunnan Normal University,Kunming 650092,China) |
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| Abstract: | In this paper,a learning control approach is applied to the synchronisation tracking of chaotic systems with unknown periodically time-varying parameters.Using the Lyapunov stability and Adaptive learning control theory,a learning control law and a differential-difference learning law are constructed to ensure the asymptotic convergence of the tracking error in the sense of square error norm.Also,a sufficient condition of the convergence of the method is given.A simulation example is provided to demonstrate... |
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| Keywords: | chaotic system mixed parametric learning control Lyapunov functional |
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