Multidimensional global extremum seeking via the DIRECT optimisation algorithm

被引：39

作者：

Khong, Sei Zhen ^{[1
]}

Nesic, Dragan ^{[1
]}

Manzie, Chris ^{[2
]}

Tan, Ying ^{[1
]}

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia

[2] Univ Melbourne, Dept Mech Engn, Parkville, Vic 3010, Australia

来源：

AUTOMATICA | 2013年 / 49卷 / 07期

基金：

澳大利亚研究理事会;

关键词：

Extremum seeking control; Multidimensional global optimisation; DIRECT method; Robustness analysis;

D O I：

10.1016/j.automatica.2013.04.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

DIRECT is a sample-based global optimisation method for Lipschitz continuous functions defined over compact multidimensional domains. This paper adapts the DIRECT method with a modified termination criterion for global extremum seeking control of multivariable dynamical plants. Finite-time semi-global practical convergence is established based on a periodic sampled-data control law, whose sampling period is a parameter which determines the region and accuracy of convergence. A crucial part of the development is dedicated to a robustness analysis of the DIRECT method against bounded additive perturbations on the objective function. Extremum seeking involving multiple units is also considered within the same context as a means to increase the speed of convergence. Numerical examples of global extremum seeking based on DIRECT are presented at the end. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1970 / 1978

页数：9

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