Brief Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties

  • Authors:

  • M. Guay;T. Zhang

  • Affiliations:

  • Department of Chemical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6;Seagate Technology, SHK221 1280 Disk Drive, Shakopee, MN 55379, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2003

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Abstract

We pose and solve an extremum seeking control problem for a class of nonlinear systems with unknown parameters. Extremum seeking controllers are developed to drive system states to the desired set-points that extremize the value of an objective function. The proposed adaptive extremum seeking controller is ''inverse optimal'' in the sense that it minimizes a meaningful cost function that incorporates penalty on both the performance error and control action. Simulation studies are provided to verify the effectiveness of the proposed approach.