Extremum-seeking control of state-constrained nonlinear systems

  • Authors:
  • Darryl Dehaan;Martin Guay

  • Affiliations:
  • Department of Chemical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6;Department of Chemical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

An extremum-seeking control problem is posed for a class of nonlinear systems with unknown dynamical parameters, whose states are subject to convex, pointwise inequality constraints. Using a barrier function approach, an adaptive method is proposed for generating setpoints online which converge to the feasible minimizer of a convex objective function containing the unknown dynamic parameters. A tracking controller regulates system states to the generated setpoint via state feedback, while maintaining feasibility of the state constraints. A simulation example demonstrates application of the method.