Research on online guidance method for maximum range glide
To solve the real-time online computational problem of maximizing the range of a hyper-sonic glide vehicle,an online optimal guidance scheme is derived and generated by using the singu-lar perturbation method.Firstly,the dynamical equations of the glider are constructed based on the assumed conditions of two-dimensional motion in the longitudinal plane and are nondimensionalized.Secondly,the model is divided into three time-scales according to the change rate of the state varia-bles.The singular perturbation method is used to find the zero-order outer solution,one-layer inner solution,and two-layer inner solution respectively on the three scales,and the overload approximate analytical expressions are integrated.Finally,the proposed method is compared with the pseudo-spectral numerical solution through simulation.The simulation results show that the accuracy of the proposed method is within a reasonable range and the computation time is greatly reduced,which can satisfy the requirements of closed-loop online optimal control of the maximum glide range.
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