Model based extremum-seeking controller via modelling-error compensation approach

被引：0

作者：

Lara-Cisneros G. ^{[1
]}

Dochain D. ^{[1
]}

Alvarez-Ramírez J. ^{[2
]}

机构：

[1] Mathematical Engineering Department, ICTEAM, Université catholique de Louvain, 4-6 avenue G. Lemaître, Louvain-la-Neuve

[2] División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apdo. Postal 55-534, México, 09340, D.F.

来源：

Journal of Process Control | 2019年 / 80卷

关键词：

Extremum-seeking control; Gradient-based ESC; Uncertain nonlinear systems;

D O I：

10.1016/j.jprocont.2019.04.014

中图分类号：

学科分类号：

摘要：

This paper is focused on the design of a robust model based extremum-seeking controller (ESC) aimed at the online optimization of a class of uncertain nonlinear systems. The ESC scheme is based on the modeling-error compensation approach using a robust input–output linearizing control law coupled with a first-order gradient estimator. The feedback control scheme is able to drive the closed-loop system into a vicinity of the optimal operating set-point. In contrast with perturbation-based ESC algorithms, the control scheme includes an observer-based uncertain estimator for computing unknown components related to model uncertainties and a continuous gradient estimator, while avoiding the use of a perturbation signal for achieving closed-loop convergence to the optimal neighborhood. The convergence of the closed-loop system to the unknown optimal set-point is analyzed. Numerical simulations illustrate the effectiveness of the proposed ESC scheme in two different nonlinear systems. © 2019 Elsevier Ltd

引用

页码：193 / 201

页数：8

共 27 条

[1]

Dochain D., Automatic Control of Bioprocesses, (2008)

[2]

Ariyur K.B., Krstic M., Real-Time Optimization by Extremum-Seeking Control, (2003)

[3]

Dochain D., Perrier M., Guay M., Extremum seeking control and its application to process and reaction systems: a survey, Math. Comput. Simul., 82, pp. 369-380, (2011)

[4]

Guay M., Dochain D., Perrier M., Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics, Automatica, 40, pp. 881-888, (2004)

[5]

Titica M., Dochain D., Guay M., Adaptive extremum seeking control of fed-batch bioreactors, Eur. J. Control, 9, pp. 618-631, (2003)

[6]

Wang H.H., Krstic M., Bastin G., Optimizing bioreactors by extremum seeking, Int. J. Adapt. Control Signal Process., 13, pp. 651-669, (1999)

[7]

Drakunov S., Ozguner U., Dix P., Ashrafi B., ABS control using optimum search via sliding modes, IEEE Trans. Control Syst., 3, 1, pp. 79-85, (1995)

[8]

Fu L., Ozguner U., Extremum seeking with sliding mode gradient estimation and asymptotic regulation for a class of nonlinear systems, Automatica, 47, pp. 2595-2603, (2011)

[9]

Pan Y., Furuta K., Variable structure control with sliding sector based on hybrid switching law, Int. J. Adapt. Control Signal Process., 21, pp. 764-778, (2007)

[10]

Utkin V.I., Sliding Modes in Control and Optimization, (1992)

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