Integer programming based optimal side jets ignition combination for advanced missile attitude control

Abstract

The ignition logic of Reaction Control System (RCS) is one of the core issues of the precision and blended control combined aerodynamic force and reaction force of the advanced guided weapons. Firstly, a side-jet model based on the American Patriot Advanced Capability-3(PAC-3) missile was established, and a calculation method based on the equivalent forces, which convert the positional deviation of the thrusters to the deviation of the equivalent forces, was proposed. Considering the side-jets constraint, the ignition logic is transformed into a mathematical problem based on 0-1 integer programming. To deal with the high complexity of traditional algorithms for 0-1 integer programming model, restrictions of the thruster efficiency, was introduced to reduce the complexity of the algorithm and the computation time. Finally, simulation results indicate that this algorithm can satisfy the requirement and find out a better solution.