Extremum seeking under stochastic noise and applications to mobile sensors
2010 (English)In: Automatica, ISSN 0005-1098, Vol. 46, no 8, 1243-1251 p.Article in journal (Refereed) Published
In this paper the extremum seeking algorithm with sinusoidal perturbations has been extended and modified in two ways: (a) the output of the system is corrupted with measurement noise; (b) the amplitudes of the perturbation signals, as well as the gain of the integrator block, are time varying and tend to zero at a pre-specified rate. Convergence to the extremal point, with probability one, has been proved. Also, as a consequence of being able to cope with a stochastic environment, it has been shown how the proposed algorithm can be applied to mobile sensors as a tool for achieving the optimal observation positions. The proposed algorithm has been illustrated through several simulations. (C) 2010 Elsevier Ltd. All rights reserved.
Place, publisher, year, edition, pages
2010. Vol. 46, no 8, 1243-1251 p.
Extremum seeking, Stochastic recursive algorithms, Convergence, Noise source localization, Mobile sensors
IdentifiersURN: urn:nbn:se:kth:diva-26856DOI: 10.1016/j.automatica.2010.05.005ISI: 000280891900001ScopusID: 2-s2.0-77955432664OAI: oai:DiVA.org:kth-26856DiVA: diva2:373757
QC 201012012010-12-012010-11-292010-12-01Bibliographically approved