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Author Sredojev, S. ♦ Eaton, R.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2013
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Stability analysis ♦ Cost function ♦ Vectors ♦ Asymptotic stability ♦ Equations ♦ Convergence
Abstract Optimal control problems are one of the most challenging research problems with the main objective to locate the minimum or maximum of the cost function for some physical, social, economic or any other processes. The work presented in this paper is motivated by the perturbation-based extremum seeking algorithm or the so called “model-free” real time optimization where no information about the system dynamics is available. The method uses singular perturbation and averaging theories to extract the information about the gradient. We use this approach to develop a simple stabilizing algorithm for the case of vector input signal assuming that the measurements are available all the time. The output is averaged and the gradient estimated with the help of a periodic signal added to the input signal. The structure of input-output correlation is used to find the necessary conditions that would force the estimated gradient towards zero, and the output to the optimal set-point. Finally, we prove that the system operating in a small vicinity of the optimal point is stable.
Description Author affiliation: Sch. of Electr. Eng. & Telecommun., Univ. of NSW, Sydney, NSW, Australia (Sredojev, S.; Eaton, R.)
ISBN 9781479915590
ISSN 10851992
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2013-08-28
Publisher Place India
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 160.67 kB
Page Count 6
Starting Page 849
Ending Page 854

Source: IEEE Xplore Digital Library