Minimum Energy Bang-Bang Control for Vertical Launching Missiles

In order to pass over large uncertainties as quickly as possible in initial launching phase of vertical launching missile systems, bang-bang control strategy is widely used to produce high pitch over maneuver. Once fast pitch down is achieved, conventional PID compensator can be used for fine pitch regulation. The new controller combining open loop control and closed loop control is designed through two steps. Firstly, PI attitude controller combining with conventional rate compensation is designed. Secondly, the optimal switching time of bang-bang control is determined in the sense of minimum energy. Linear and nonlinear 3-DOF simulation results show that the proposed controller is very effective for fast pitch down of vertical launching missiles