Extremum seeking under stochastic noise and applications to mobile sensors

Miloš S. Stanković, Dušan M. Stipanović

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1243-1251
Number of pages9
JournalAutomatica
Volume46
Issue number8
DOIs
StatePublished - Aug 2010

Keywords

  • Convergence
  • Extremum seeking
  • Mobile sensors
  • Noise source localization
  • Stochastic recursive algorithms

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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