Extremum seeking control with adaptive disturbance feedforward

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This paper presents an extension to the classical gradient-based extremum seeking control for the case when the disturbances responsible for changes in the extremum of a selected performance function are available for measurement. Based on these additional measurements, an adaptive extremum seeking disturbance feedforward is designed that approximates the unknown, static mapping between the disturbances and the optimal inputs. For this purpose, orthogonal, multivariate Tchebyshev polynomials are used. The feedforward enables the extremum seeking to be conducted in the proximity of the extremum thus yielding improvements both in terms of accuracy and increased convergence speed compared to the traditional scheme. Simulation results given for a turbine driven electrical generator system demonstrate the benefits of the presented design.

Original languageEnglish
Title of host publicationProceedings of the 19th World Congress The International Federation of Automatic Control Cape Town, South Africa. August 24-29, 2014
PublisherIFAC Secretariat
Number of pages6
ISBN (Print)9783902823625
Publication statusPublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014) - Cape Town International Convention Centre, Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014
Conference number: 19


Conference19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014)
Abbreviated titleIFAC 2014
CountrySouth Africa
CityCape Town
Internet address


  • Adaptive algorithms
  • Extremum seeking control
  • Feedforward control

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