International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2019
Volume 29 - 2019

Robust extremum seeking for a second order uncertain plant using a sliding mode controller

Cesar Solis, Julio Clempner, Alexander Poznyak

Abstract
This paper suggests a novel continuous-time robust extremum seeking algorithm for an unknown convex function constrained by a dynamical plant with uncertainties. The main idea of the proposed method is to develop a robust closed-loop controller based on sliding modes where the sliding surface takes the trajectory around a zone of the optimal point. We assume that the output of the plant is given by the states and a measure of the function. We show the stability and zone-convergence of the proposed algorithm. In order to validate the proposed method, we present a numerical example.

Keywords
convex optimization, extremum seeking, continuous-time gradient algorithm, dynamical constrained optimization, unknown functions

DOI
10.2478/amcs-2019-0052