AAS 98-164

NECESSARY AND SUFFICIENT CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH MULTIPLE TERMINAL CONSTRAINTS

Jang-Won Jo, J. E. Prussing - University of Illinois at Urbana-Champaign

Abstract

A recent advance in sufficient conditions for a weak local minimum in the Bolza optimal control problem is used to develop a procedure for applying second-order necessary and sufficient conditions to problems with multiple terminal constraints. Three example problems are analyzed: a minimum-time problem, the shortest path between two points on a sphere, and an application of Hamilton's Principle to a circular orbit in an inverse-square gravitational field. When the circular orbit violates the second-order conditions, a genetic algorithm is used to determine an alternate path of lower cost.

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