An extremum seeking approach to parameterised loop-shaping control design

Chih Feng Lee, Sei Zhen Khong, Erik Frisk, Mattias Krysander

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

Abstract

An approach to loop-shaping feedback control design in the frequency domain via extremum seeking is proposed. Both plants and controllers are linear time-invariant systems of possibly infinite dimension. The controller is assumed to be dependent on a finite number of parameters. Discrete-time global extremum seeking algorithms are employed to minimise the difference between the desired loop shape and the estimate of the present loop shape by fine-tuning the controller parameters within a sampled-data framework. The sampling period plays an important role in guaranteeing global practical convergence to the optimum. A case study on PID control tuning is presented to demonstrate the applicability of the proposed method.

Original languageEnglish (US)
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsXiaohua Xia, Edward Boje
PublisherIFAC Secretariat
Pages10251-10256
Number of pages6
ISBN (Electronic)9783902823625
StatePublished - Jan 1 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Other

Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
CountrySouth Africa
CityCape Town
Period8/24/148/29/14

Keywords

  • Frequency response estimation
  • Global extremum seeking
  • Loop-shaping
  • Parameterised controller

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  • Cite this

    Lee, C. F., Khong, S. Z., Frisk, E., & Krysander, M. (2014). An extremum seeking approach to parameterised loop-shaping control design. In X. Xia, & E. Boje (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 10251-10256). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat.