Mixed Programming Control Allocation Scheme for Hypersonic Flight Vehicle

With focus on the reentry attitude model of a hypersonic flight vehicle, we study the control allocation of aerodynamic surfaces and the reaction control system to solve the optimal allocation between different types of control effectors. We use the back-stepping method to determine the desired moment. To achieve optimum control efficiency and maximum use of aero-surfaces, we propose a mixed programming control allocation strategy. The allocation between aero-surfaces and the reaction control system is conducted by a daisy chain. The reaction control system does not launch until the aero-surfaces are saturated. The moment allocation between the aero-surfaces is conducted by quadratic programming, which includes all the information of the dynamics of actuators. We resolve the quadratic programming by using linear matrix inequality. The moment between the reaction control systems is allocated by 0-1 integer linear programming. Simulation result indicates that the mixed programming control allocation scheme not only achieves reasonable allocation between different types of control effectors but also ensures accurate tracking of the expected control input.