| 一个新混沌系统不稳定平衡点的镇定 |
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| 引用本文： | 罗海庚,蹇继贵,廖晓昕. 一个新混沌系统不稳定平衡点的镇定[J]. 华中科技大学学报(自然科学版), 2005, 33(2): 44-46 |
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| 作者姓名： | 罗海庚 蹇继贵 廖晓昕 |
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| 作者单位： | 华中科技大学,控制科学与工程系,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目(60274007,60474011)，高等学校博士学科点专项基金资助项目(20010487005). |
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| 摘 要： | 用线性反馈控制和自适应控制方法研究了一个新的混沌系统不稳定平衡点的镇定问题.当系统参数已知时,借助系统在平衡点附近的线性化模型,利用状态线性反馈控制器可以镇定系统所有的平衡点;当参数未知时,利用自适应控制策略,可以把系统镇定到期望的不稳定平衡点.利用Lyapunov函数和LaSalle不变原理对结论给予了严格证明,并用数值仿真说明了这种方法的有效性.
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| 关 键 词： | 混沌系统 不稳定平衡点镇定 反馈控制 自适应控制 |
| 文章编号： | 1671-4512(2005)02-0044-03 |
| 修稿时间： | 2004-05-21 |
Stabilization of unstable equilibrium points in a new chaotic system |
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| Luo Haigeng,Jian Jigui,Liao Xiaoxin. Stabilization of unstable equilibrium points in a new chaotic system[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2005, 33(2): 44-46 |
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| Authors: | Luo Haigeng Jian Jigui Liao Xiaoxin |
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| Affiliation: | Luo Haigeng Jian Jigui Liao Xiaoxin Doctoral Candidate, Dept. of Control Sci. & Eng.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
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| Abstract: | By utilizing linear feedback control and adaptive control approaches, the stabilization of unstable equilibrium points of a new chaotic system was studied. When the system parameters were known, all unstable equilibrium points were stabilized by designing a linear state feedback controller. If the parameters were completely unknown, an adaptive control strategy was put forward to achieve the same goal. The strict proofs were presented in terms of Lyapunov functions and LaSalle invariant principle. Numerical simulations were given to show the effectiveness of the results. |
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| Keywords: | chaotic system unstable equilibrium points stabilization feedback control adaptive control |
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