Uniformly valid feedback expansions for optimal control of singularly perturbed dynamic systems

  • J. V. Breakwell
  • J. Shinar
  • H. G. Visser
Contributed Papers

Abstract

This paper shows how to construct a feedback control law for a class of singularly perturbed autonomous optimization problems. The control law is expressed as a single power series in the small parameter ∈ representing the ratio of the two effective time scales of the problem. The present approach avoids the need of expansion matching. The method is applied to a constant-speed interception problem. Comparison of numerical results with the exact solution shows an excellent agreement.

Key Words

Optimal control singular perturbations autonomous systems feedback control Hamilton-Jacobi-Bellmann equation 
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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • J. V. Breakwell
    • 1
  • J. Shinar
    • 2
  • H. G. Visser
    • 3
  1. 1.Department of Aeronautics and AstronauticsStanford UniversityStanford
  2. 2.Department of Aeronautical Engineering, TechnionIsrael Institute of TechnologyHaifaIsrael
  3. 3.Department of Aerospace and Ocean EngineeringVirginia Polytechnic InstituteBlacksburg

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