文章基本信息

标题：Extremum Seeking for Nonlinear Uncertain Systems: A Small-Gain Synthesis
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作者：Qiyue Wang ; Zhengyan Qin ; Tengfei Liu 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：5411-5416
DOI：10.1016/j.ifacol.2020.12.1535
语种：English
出版社：Elsevier
摘要：AbstractThis paper studies the extremum seeking problem for static maps with the inputs of the maps generated by a nonlinear uncertain system. A new small-gain approach is developed which uses an extremum seeking strategy to generate a reference signal, and employs a control law for reference-tracking of the nonlinear uncertain systems. The notions of input-to-state stability (ISS) and input-to-output stability (IOS) are used to characterize the interconnection between the extremum seeking strategy and the reference-tracking controller, and the nonlinear small-gain theorem is employed to guarantee the stability of the closed-loop extremum seeking system. With the proposed approach, the extremum seeking problem for a complex nonlinear system is solvable as long as one can design a proper reference-tracking controller for the system. Examples are given to show the feasibility of the proposed approach, and a numerical simulation is employed to show the effectiveness of the proposed design.
关键词：KeywordsExtremum seekingsmall-gain theoremsemi-global practical stabilization