Conference Proceedings

Semi-global stability analysis of a discrete-time extremum-seeking scheme using LDI methods

RC Shekhar, WH Moase, C Manzie

Proceedings of the IEEE Conference on Decision and Control | IEEE | Published : 2013

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. © 2013 IEEE.

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