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A constrained extremum‐seeking control approach
Author(s) -
Guay Martin,
Moshksar Ehsan,
Dochain Denis
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3254
Subject(s) - control theory (sociology) , mathematical optimization , nonlinear system , class (philosophy) , control (management) , point (geometry) , computer science , function (biology) , nonlinear dynamical systems , mathematics , artificial intelligence , physics , geometry , quantum mechanics , evolutionary biology , biology
Summary This paper proposes an extremum‐seeking control approach for a class of uncertain nonlinear dynamical systems subject to constraints. It is assumed that the objective function along with the constraints are available for measurement. The contribution of the paper is to formulate the extremum‐seeking problem as a time‐varying estimation problem. The constraints are enforced by using an interior point strategy that preserves feasibility of the systems' trajectories. Simulation examples are used to illustrate the effectiveness of the proposed technique. Copyright © 2014 John Wiley & Sons, Ltd.