Brief paper: On receding horizon feedback control

  • Authors:
  • C. C. Chen;L. Shaw

  • Affiliations:
  • Stevens Institute of Technology, Hoboken, NJ 07030, U.S.A.;Polytechnic Institute of New York, Brooklyn, NY 11201, U.S.A.

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1982

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Abstract

Receding horizon feedback control (RHFC) was originally introduced as an easy method for designing stable state-feedback controllers for linear systems. Here those results are generalized to the control of nonlinear autonomous systems, and we develop a performance index which is minimized by the RHFC (inverse optimal control problem). Previous results for linear systems have shown that desirable nonlinear controllers can be developed by making the RHFC horizon distance a function of the state. That functional dependence was implicit and difficult to implement on-line. Here we develop similar controllers for which the horizon distance is an easily computed explicit function of the state.