Stochastic extremum seeking with applications to mobile sensor networks

Authors:
Miloš S. Stankovic;Dušan M. Stipanovic
Affiliations:
Department of Industrial and Enterprise Systems Engineering and Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Illinois;Department of Industrial and Enterprise Systems Engineering and Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Illinois
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 3
Cited 2

Real Time Optimization by Extremum Seeking Control

Real Time Optimization by Extremum Seeking Control
Brief paper: Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements

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Brief Stability of extremum seeking feedback for general nonlinear dynamic systems

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Brief paper: Stochastic source seeking for nonholonomic unicycle

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Continuous-Time Stochastic Averaging on the Infinite Interval for Locally Lipschitz Systems

SIAM Journal on Control and Optimization

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Abstract

In this paper the extremum seeking algorithm with sinusoidal perturbation has been modified and extended in two ways: a) 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; b) the output of the system is corrupted with measurement noise. Local convergence to the extremal point, with probability one and in the mean square sense, has been proved. Also, it has been shown how the proposed algorithm can be applied to mobile sensor networks as a tool for achieving the optimal observation positions. The proposed algorithms have been illustrated through several simulations.