DocumentCode
3538019
Title
Semi-global stability analysis of a discrete-time extremum-seeking scheme using LDI methods
Author
Shekhar, Rohan C. ; Moase, William H. ; Manzie, Chris
Author_Institution
Dept. of Mech. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
6898
Lastpage
6903
Abstract
This paper presents and analyses a new formulation of extremum-seeking control for discrete-time systems. Assuming a static, strongly convex SISO plant, a novel method of analysis using Linear Difference Inclusions (LDI) demonstrates semi-global stability of the control scheme. Furthermore, given limited information about the plant mapping, it is shown how the LDI system description allows a conservative upper bound on the adaptation gain to be evaluated, improving convergence speed.
Keywords
discrete time systems; linear differential equations; optimal control; stability; LDI method; convergence speed; convex SISO plant; discrete-time scheme; extremum-seeking control; linear difference inclusion; semiglobal stability analysis; Control theory; Eigenvalues and eigenfunctions; Lyapunov methods; Optimization; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760982
Filename
6760982
Link To Document