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2008•International Conference on Modelling, Identification and ControlRequires access

Application of a control vector parameterization method using an interior point algorithm

T. Hirmajer, Miroslav Fikar, Eva Balsa‐Canto, Julio R. Banga

Open publisher page 3 citations

Abstract

This paper explores the possibilities of using the combination of the state of the art nonlinear programming problem solver IPOPT and the initial value problem solver CVODES (incorporated in SUNDIALS) for the solution of dynamic optimization problems, also regarded as open loop optimal control problems (OCP). Recent works confirm the potential of IPOPT in solving large scale optimization problems and particularly in solving optimal control problems in the framework of the complete parameterization approach [12]. Here the OCP problems are solved using the control vector parameterization scheme and the advantages and disadvantages of the combination CVP + IPOPT + CVODES are evaluated through several examples.

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What this paper is about

This paper explores the possibilities of using the combination of the state of the art nonlinear programming problem solver IPOPT and the initial value problem solver CVODES (incorporated in SUNDIALS) for the solution of dynamic optimization problems, also regarded as open loop optimal control problems (OCP). Recent works confirm the potential of IPOPT in solving large scale optimization problems and particularly in solving optimal control problems in the framework of the complete parameterization approach [12]. Here the OCP problems are solved using the control vector parameterization scheme and the advantages and disadvantages of the combination CVP + IPOPT + CVODES are evaluated through several examples.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper explores the possibilities of using the combination of the state of the art nonlinear programming problem solver IPOPT and the initial value problem solver CVODES (incorporated in SUNDIALS) for the solution of dynamic optimization problems, also regarded as open loop optimal control problems (OCP). Recent works confirm the potential of IPOPT in solving large scale optimization problems and particularly in solving optimal control problems in the framework of the complete parameterization approach [12]. Here the OCP problems are solved using the control vector parameterization scheme and the advantages and disadvantages of the combination CVP + IPOPT + CVODES are evaluated through several examples.

Key concepts: Solver, Interior point method, Mathematical optimization, Optimal control, Computer science, Optimization problem, Problem solver, Nonlinear programming

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