| 一类MIMO继电反馈系统极限环的全局稳定性 |
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| 引用本文： | 林崇,王庆国,LEE Tong Heng.一类MIMO继电反馈系统极限环的全局稳定性[J].控制工程,2007,14(1):66-69,95. |
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| 作者姓名： | 林崇 王庆国 LEE Tong Heng |
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| 作者单位： | 1. 青岛大学,复杂性科学研究所,山东,青岛,266071;新加坡国立大学,电气及计算机工程学院,新加坡,119260
2. 新加坡国立大学,电气及计算机工程学院,新加坡,119260 |
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| 基金项目： | 国家自然科学基金
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山东省"泰山学者"计划基金 |
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| 摘 要： | 研究了分散继电反馈系统极限环的全局稳定性问题.主要思想是将所研究的极限环的全局稳定性问题转化为不确定离散系统的渐近稳定性问题.并给出了判定稳定性的充分条件.结果表明,在某些约束条件下,所有系统轨迹最终进入并停留在某一特定区域,而且趋于极限环.数值例子仿真验证了提出的方法的有效性.
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| 关 键 词： | 继电反馈 磁滞 极限环 全局稳定 relay feedback hysteresis limit cycles global stability MIMO 继电 反馈系统 极限环 全局稳定性 Systems Relay Feedback Class Limit Cycles Stability numerical example present limit cycles constraints trajectories enter specific region sufficient condition |
| 文章编号： | 1671-7848（2007）01-0066-05 |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006-07-09 |
Global Stability of Limit Cycles for a Class of MIMO Relay Feedback Systems |
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| LIN Chong,WANG Qing-guo,LEE Tong Heng.Global Stability of Limit Cycles for a Class of MIMO Relay Feedback Systems[J].Control Engineering of China,2007,14(1):66-69,95. |
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| Authors: | LIN Chong WANG Qing-guo LEE Tong Heng |
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| Affiliation: | 1.Institute of Complexity Science, Qingdao University, Qingdao 266071, China; 2. Department of Electrical and Computer Engineering, National Univensity of Singapore, Singapore 119260 |
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| Abstract: | The global stability problem of limit cycles for decentralized relay feedback systems is studied.The key idea is to reduce the global stability problem to the asymptotic stability of an uncertain discrete-time system.As a result,a sufficient condition is obtained for the stability test.It shows that under some constraints all system trajectories will eventually enter and remain in a specific region,and tend to the considered limit cycle.A numerical example is given to illustarte the use of the present result. |
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| Keywords: | relay feedback hysteresis limit cycles global stabilityCLC number: TP 273 Document code: A |
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