This paper concerns with the problem of solving optimal control problems by means of nonlinear programming methods. The technique employed to obtain a mathematical programming problem from an optimal control problem is explained and the Newton interior-point method, chosen for its solution, is presented with special regard to the choice of the involved parameters. An analysis of the behaviour of the method is reported on four optimal control problems, related to improving water quality in an aeration process and to the study of diffusion convection processes.
Nonlinear programming methods for solving optimal control problems / C., Durazzi; Galligani, Emanuele. - STAMPA. - 58, Series: Nonconvex Optimization and Its Applications:(2001), pp. 71-99. (Intervento presentato al convegno International Workshop: Equilibrium Problems and Variational Models tenutosi a Taormina nel 3-6 dicembre, 1998).
Nonlinear programming methods for solving optimal control problems
GALLIGANI, Emanuele
2001
Abstract
This paper concerns with the problem of solving optimal control problems by means of nonlinear programming methods. The technique employed to obtain a mathematical programming problem from an optimal control problem is explained and the Newton interior-point method, chosen for its solution, is presented with special regard to the choice of the involved parameters. An analysis of the behaviour of the method is reported on four optimal control problems, related to improving water quality in an aeration process and to the study of diffusion convection processes.
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