International Journal of applied mathematics and computer science

online read us now

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

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.

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