TR2020-117

Finite-time Extremum Seeking Control for a Class of Unknown Static Maps

    •  Guay, M., Benosman, M., "Finite-time extremum seeking control for a class of unknown static maps", International Journal of Adaptive Control and Signal Processing, DOI: 10.1002/​acs.3123, Vol. 35, No. 7, pp. 1188-1201, July 2021.
      BibTeX TR2020-117 PDF
      • @article{Guay2020jul,
      • author = {Guay, Martin and Benosman, Mouhacine},
      • title = {{Finite-time extremum seeking control for a class of unknown static maps}},
      • journal = {International Journal of Adaptive Control and Signal Processing},
      • year = 2020,
      • volume = 35,
      • number = 7,
      • pages = {1188--1201},
      • month = jul,
      • doi = {10.1002/acs.3123},
      • url = {https://www.merl.com/publications/TR2020-117}
      • }
  • Research Area:

    Control

Abstract:

This paper proposes an extremum-seeking control design that achieves finite-time stability of the optimum of an unknown measured cost function. The finite-time extremum-seeking control technique is shown to achieve finite-time practical stability of the optimum of the cost function. The main characteristic of the proposed extremum seeking control approach is that the corresponding target averaged system achieves finite-time stability. A simulation study is presented to demonstrate the effectiveness of the approach.