极限环
极限(数学)
缩小
范德波尔振荡器
控制理论(社会学)
数学
数学优化
应用数学
控制(管理)
计算机科学
非线性系统
物理
数学分析
量子力学
人工智能
作者
Hsin-Hsiung Wang,Miroslav Krstić
出处
期刊:IEEE Transactions on Automatic Control
[Institute of Electrical and Electronics Engineers]
日期:2000-01-01
卷期号:45 (12): 2432-2436
被引量:113
摘要
In many physical problems, equilibrium stabilization is not possible and the controlled system is in a limit cycle. If the size of the limit cycle depends on some of the control parameters, then a reasonable objective would be to tune this parameter to minimize the size of the limit cycle. We propose a method for achieving this. This method is an extension of our earlier result (Kristic and Wang, 2000) on extremum seeking for equilibria. We illustrate the method with a Van der Pol oscillator example and present analysis for it using averaging and singular perturbations.
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