Title :
On Stability Properties of A Simple Extremum Seeking Scheme
Author :
Ying Tan;Dragan Nesic;Iven Mareels
Author_Institution :
Department of Electrical & Electronics Engineering, The University of Melbourne, Parkview, VIC 3010. y.tan@ee.unimelb.edu.au
Abstract :
In this paper, we introduce a simple extremum seeking scheme, which is the simplest variant of schemes considered in the literature. A new definition of semi-global practical asymptotic (SPA) stability uniform in small parameters is proposed. It is shown that the closed loop system with the extremum seeking controller is SPA stable in controller parameters. Several SPA stability results that require different tuning of parameters are presented under different conditions. We note that this simple extremum seeking scheme allows for a novel interpretation of the extremum seeking control via gradient optimization algorithms
Keywords :
"Stability analysis","Asymptotic stability","Closed loop systems","Control systems","USA Councils","Low pass filters","Australia Council","Electronic switching systems","Vectors"
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377040
