<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Robust Extremum Seeking for a Second Order Uncertain Plant Using a Sliding Mode Controller

Center for Research and Advanced Studies, National Polytechnic Institute

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper suggests a novel continuous-time robust extremum seeking algorithm for an unknown convex function constrained by a dynamical plant with...

Robust Extremum Seeking for a Second Order Uncertain Plant Using a Sliding Mode Controller

Published Online: Dec 31, 2019

Page range: 703 - 712

Received: Nov 30, 2018

Accepted: Jul 19, 2019

DOI: https://doi.org/10.2478/amcs-2019-0052

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

© 2019 Cesar Solis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Robust Extremum Seeking for a Second Order Uncertain Plant Using a Sliding Mode Controller

Published Online: Dec 31, 2019

Page range: 703 - 712

Received: Nov 30, 2018

Accepted: Jul 19, 2019

DOI: https://doi.org/10.2478/amcs-2019-0052

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

© 2019 Cesar Solis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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