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On the choice of dither in extremum seeking systems: A case study

✍ Scribed by Ying Tan; Dragan Nešić; Iven Mareels

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
465 KB
Volume
44
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

We discuss how the choice of dither (excitation signal) affects the performance of extremum seeking using a benchmark situation: a static scalar map; and a simple scalar extremum seeking scheme. Our comparisons are based on the performance of the system with different dithers in terms of three performance indicators: the speed of convergence, domain of attraction and accuracy (i.e. the ultimate bound on trajectories). Our analysis explicitly shows how the dither shape affects each of these performance indicators. Our study suggests that the practitioners using extremum seeking control should consider the dither shape as an important design parameter. Computer simulations support our theoretical findings.

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