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2007 Optimal Control of Mechanical Systems
Vadim Azhmyakov
Differ. Equ. Nonlinear Mech. 2007: 1-16 (2007). DOI: 10.1155/2007/18735

Abstract

In the present work, we consider a class of nonlinear optimal control problems, which can be called “optimal control problems in mechanics.” We deal with control systems whose dynamics can be described by a system of Euler-Lagrange or Hamilton equations. Using the variational structure of the solution of the corresponding boundary-value problems, we reduce the initial optimal control problem to an auxiliary problem of multiobjective programming. This technique makes it possible to apply some consistent numerical approximations of a multiobjective optimization problem to the initial optimal control problem. For solving the auxiliary problem, we propose an implementable numerical algorithm.

Citation

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Vadim Azhmyakov. "Optimal Control of Mechanical Systems." Differ. Equ. Nonlinear Mech. 2007 1 - 16, 2007. https://doi.org/10.1155/2007/18735

Information

Received: 7 February 2007; Accepted: 10 May 2007; Published: 2007
First available in Project Euclid: 26 January 2017

zbMATH: 1135.70010
MathSciNet: MR2336263
Digital Object Identifier: 10.1155/2007/18735

Rights: Copyright © 2007 Hindawi

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