Abstract

A discrete optimal control problem can always be treated as a conventional mathematical program but the dimension of the latter depens on N, the number of stages, and can, therefore, be forbiddingly high. In this paper we exploit the structure of the optimal control problem and present a version of a conventional sequential quadratic programming algorithm which merely requires, at each iteration, the solution of N quadratic sub-problems of dimension m (equal to that of the control) rather than the solution of one quadratic sub-problem of dimension Nm as required by the mathematical programming formulation.

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