文章基本信息

标题：Partial Stability Concept in Extremum Seeking Problems ⁎
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作者：Victoria Grushkovskaya ; Alexander Zuyev
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：682-687
DOI：10.1016/j.ifacol.2019.12.041
语种：English
出版社：Elsevier
摘要：The paper deals with the extremum seeking problem for a class of cost functions depending only on a part of state variables of a control system. This problem is related to the concept of partial asymptotic stability and analyzed by Lyapunov’s direct method and averaging schemes. Sufficient conditions for the practical partial stability of a system with oscillating inputs are derived with the use of Lie bracket approximation techniques. These conditions are exploited to describe a broad class of extremum-seeking controllers ensuring the partial stability of the set of minima of a cost function. The obtained theoretical results are illustrated by the Brockett integrator and rotating rigid body.
关键词：Keywordsextremum seekingpartial stabilityoutput stabilizationLie bracket approximationcontrol-affine systemsoscillating control