Numerical Methods for Optimal Control with Binary Control Functions Applied to a Lotka-Volterra Type Fishing Problem

Sebastian Sager (), Hans Georg Bock, Moritz Diehl, Gerhard Reinelt and Johannes P. Schloder
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Sebastian Sager: IWR Heidelberg
Hans Georg Bock: IWR Heidelberg
Moritz Diehl: IWR Heidelberg
Gerhard Reinelt: IWR Heidelberg
Johannes P. Schloder: IWR Heidelberg

A chapter in Recent Advances in Optimization, 2006, pp 269-289 from Springer

Abstract: Summary We investigate possibilities to deal with optimal control problems that have special integer restrictions on the time dependent control functions, namely to take only the values of 0 or 1 on given time intervals. A heuristic penalty term homotopy and a Branch and Bound approach are presented, both in the context of the direct multiple shooting method for optimal control. A tutorial example from population dynamics is introduced as a benchmark problem for optimal control with 0 –1 controls and used to compare the numerical results of the different approaches.

Keywords: Optimal Control Problem; Multiple Shooting; Model Predictive Control; Differential Algebraic Equation; Ordinary Differential Equation Model (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-28258-7_17

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DOI: 10.1007/3-540-28258-0_17

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