Computations for time-optimal bay-bay control using a lagrangian formulation

Date

2002

Authors

Simakov, S.
Kaya, C.Y.
Lucas, S.

Editors

Camacho, E.

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Conference paper

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IFAC papers online, 2002 / Camacho, E. (ed./s), vol.15, iss.1, pp.455-460

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The 15th Triennial IFAC World Congress (21 Jul 2002 : Spain)

Abstract

In this paper an algorithm is proposed to solve the problem of time-optimal bang-bang control of nonlinear systems from a given initial state to a given terminal state. The problem is reduced to the problem of minimising a Lagrangian subject to an equality constraint defined by the terminal state. Then a solution is obtained by solving a system of nonlinear equations. Examples are given so as to illustrate the algorithm presented.

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