基于非线性预测方法的开关式导引律设计

For the exo-atmospheric interception, the model predictive control (MPC) of nonlinear system with uncertainty and on-off inputs is studied. The Fliess functional expansion is used to describe the relationship between the outputs and both control inputs and uncertainty. Using quadratic criteria, optimal control problem of MPC is obtained. In order to deal with the uncertainty in criteria, a solving method of optimization, which uses nonlinear programming and combines the characteristic of on-off inputs, is proposed. Finally, the method is applied to exo-atmospheric interception. In the case of uncertain relative distance and rate of LOS, the on-off guidance law is designed. The simulation results show that the proposed method guarantees high interception accuracy and reduces the on-off times of thruster.