A Solution Algorithm for Minimax Closed-Loop Propellant Consumption Control Problem of Launch Vehicle

Abstract

This paper considers the minimax closed-loop propellant consumption terminal control problem of liquid-propellant launch vehicle. Given initial model of plant is approximated by linear discrete-time dynamical controllable system, which concludes state vector, control vector, and disturbance vector. Control vector is constrained by finite set and disturbance vector is limited by convex compact set (polytope). Main problem of minimax closed-loop terminal control and auxiliary problem of minimax open-loop control are formulated for approximated system. To solve these two problems an approach and numerical algorithms are provided. The efficiency of proposed approach and algorithms is illustrated on the numerical example of launch vehicle’s third stage propellant consumption terminal control problem.