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Title: Stability of Time-Invariant Extremum Seeking Control for Limit Cycle Minimization
This paper presents a time-invariant extremum seeking controller (ESC) for nonlinear autonomous systems with limit cycles. For this time-invariant ESC, we propose a method to prove the closed loop system has an asymptotically stable limit cycle. The method is based on a perturbation theorem for maps, and, unlike existing techniques that use averaging and singular perturbation tools, it is not limited to weakly nonlinear systems. We use a typical example system to show that our method does indeed establish asymptotic stability of the limit cycle with minimal amplitude. Utilizing the example, we provide a general guide for analytic computations that are required to apply our method. The corresponding Mathematica code is available as supplementary material.  more » « less
Award ID(s):
1916876
PAR ID:
10339555
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
IEEE Transactions on Automatic Control
ISSN:
0018-9286
Page Range / eLocation ID:
1 to 8
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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