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Extremum-seeking in singularly perturbed hybrid systems

journal contribution
posted on 2017-06-01, 00:00 authored by Ronny Kutadinata, W H Moase, C Manzie
This technical note considers the stability of a class of singularly perturbed hybrid systems with a continuous slow subsystem. This type of system encompasses many slowly-varying adaptation schemes, such as extremum-seeking, acting on hybrid systems, such as urban traffic control and switching control. Conditions are given for semi-global practical asymptotic stability of the closed-loop system when the dynamics of the reduced system are also semi-globally practically asymptotically stable. This extends previous results which require global asymptotic stability of the reduced system. Furthermore, the stability result is used to show convergence of an extremum seeking scheme acting upon a hybrid system.

History

Journal

IEEE transactions on automatic control

Volume

62

Issue

6

Pagination

3014 - 3020

Publisher

Institute of Electrical and Electronics Engineers

Location

Piscataway, N.J.

ISSN

0018-9286

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2016, IEEE