Anti-saturation control and control allocation for hypersonic vehicles with reaction jets

In this paper, a new method is proposed for the controlling of hypersonic vehicles in exoatmospheric flight with reaction jets, which can only provide a single finite value of control. A control allocation based on linear programming is designed to minimize the difference between a desired moment and the one produced by a reaction jet. An anti-saturation control law is presented to limit the norm of the desired control input, which considers the system uncertainty and maximizes the domain of attraction. The effectiveness of the method is illustrated through numerical simulations.