Extremum seeking control based on the super-twisting algorithm⁎This work is supported by University of Guanajuato via the Institutional Project 358/2019. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Torres, Ixbalank; López-Caamal, Fernando; Hernández-Escoto, Héctor; Vargas, Alejandro
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 1621
• Page End: 1626
• Publication Date: 2020
• Subjects: Extremum seeking control -- sliding modes -- super-twisting algorithm -- differentiators -- process control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.2211
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This article addresses the problem of extremum seeking of a continuous-time dynamical system with a single input and a single output. First, a super-twisting-based gradient-based optimization algorithm is proposed to compute the input that leads to the extremum value of an unknown, convex objective function. Since the algorithm requires the input-output gradient of the system's response, a super-twisting based differentiator is proposed to compute the gradient using the measured output and the controlled input. Feasibility of the extremum seeking controller is demonstrated via closed-loop simulations over a microalgae production photobioreactor.