Journal of Global Optimization

, Volume 17, Issue 1, pp 97–126

Deterministic Global Optimization in Nonlinear Optimal Control Problems

  • William R. Esposito
  • Christodoulos A. Floudas
Article

DOI: 10.1023/A:1026578104213

Cite this article as:
Esposito, W.R. & Floudas, C.A. Journal of Global Optimization (2000) 17: 97. doi:10.1023/A:1026578104213

Abstract

The accurate solution of optimal control problems is crucial in many areas of engineering and applied science. For systems which are described by a nonlinear set of differential-algebraic equations, these problems have been shown to often contain multiple local minima. Methods exist which attempt to determine the global solution of these formulations. These algorithms are stochastic in nature and can still get trapped in local minima. There is currently no deterministic method which can solve, to global optimality, the nonlinear optimal control problem. In this paper a deterministic global optimization approach based on a branch and bound framework is introduced to address the nonlinear optimal control problem to global optimality. Only mild conditions on the differentiability of the dynamic system are required. The implementa-tion of the approach is discussed and computational studies are presented for four control problems which exhibit multiple local minima.

Differential-algebraic equations Global optimization Optimal control 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • William R. Esposito
    • 1
  • Christodoulos A. Floudas
    • 1
  1. 1.Department of Chemical EngineeringPrinceton UniversityPrincetonUSA

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