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
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;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760982
