Numerical Solution of Minimum Time Control System with SUMT

Abstract

A method using SUMT is proposed in this paper as a numerical solution method for a minimum time control problem. The characteristics of the paper presented are that the SUMT loop used for satisfying the terminal constraint and the other SUMT loop used for satifying the constraint for the magnitude of control are imbedded in one SUMT loop by regarding the solving method as a mixed interior point-exterior point algorithm and sequentially approaching the optimal solution of the final time and control function simultaneously by leaving the final time as an unknown parameter to beoptimized.