Optimal Control of Mechanical Systems

Vadim Azhmyakov

International Journal of Differential Equations, 2007, vol. 2007, 1-16

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:018735

DOI: 10.1155/2007/18735

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