Multidimensional global extremum seeking via the DIRECT method

Sei Zhen Khong, Chris Manzie, Dragan Nešić, Ying Tan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations


This paper adapts the DIRECT method with a modified termination criterion for global extremum seeking control of multivariable dynamical plants - DIRECT is a sampling type global optimisation method for Lipschitz-continuous functions defined over compact multidimensional domains. Finite-time semi-global practical convergence is established based on a deadbeat sampled-data control law, whose sampling period is a parameter which determines the region and accuracy of convergence. A crucial part of the development is dedicated to a robustness analysis of the DIRECT method against bounded additive perturbations on the objective function. A numerical example of global extremum seeking in the presence of local extrema based on DIRECT is presented at the end.

Original languageEnglish (US)
Title of host publication2012 2nd Australian Control Conference, AUCC 2012
PublisherIEEE Computer Society
Number of pages6
ISBN (Print)9781922107633
StatePublished - 2012
Externally publishedYes
Event2nd Australian Control Conference, AUCC 2012 - Sydney, NSW, Australia
Duration: Nov 15 2012Nov 16 2012

Publication series

Name2012 2nd Australian Control Conference, AUCC 2012


Other2nd Australian Control Conference, AUCC 2012
CitySydney, NSW


  • DIRECT method
  • Extremum seeking control
  • multidimensional global optimisation
  • robustness analysis


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