Computations for Time-optimal Bang-bang Control Using a Lagrangian Formulation

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. Copyright c © 2002 IFAC

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Cite this paper

@inproceedings{Simakov2001ComputationsFT, title={Computations for Time-optimal Bang-bang Control Using a Lagrangian Formulation}, author={Sergey T. Simakov and Yalçın Kaya and Stephen K. Lucas}, year={2001} }