Abstract
A general nonlinear system is used to present the extremum seeking control problem. The analog optimization based extremum seeking control is first presented, where gradient based, sliding mode based and perturbation based schemes are discussed. We extend the applicability of perturbation based extremum seeking control to slightly and moderately unstable systems via the use of a phase lead compensator. Finally, numerical optimization based extremum seeking control is briefly introduced, to be later expanded upon in Chaps. 4 and 5. This chapter gives the reader an overview of the different “flavors” of extremum seeking control available in the literature.
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Zhang, C., Ordóñez, R. (2012). Design of Extremum Seeking Control. In: Extremum-Seeking Control and Applications. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2224-1_3
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