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利用非线性预测控制理论设计了一种零化视线角速率的预测制导律.首先,以弹目视线角速率为反馈项,最小化预测误差为性能指标,基于非线性预测控制理论和最优化理论推导出非线性预测制导律,并对闭环回路的稳定性进行了证明.其次,针对制导律中含有的目标机动项信息,设计了一种基于时间延迟控制理论的滤波算法,并应用于预测制导律,最后仿真考虑到导弹的延迟环节,采用三阶自动驾驶仪模型,验证了设计的制导律能够有效拦截机动目标,与传统比例导引相比,视线角速率变化平稳,克服了末端视线角速率变化过快而导致过载饱和的情况,降低了对执行机构的要求.
A predictive guidance law for zeroed line-of-sight angular rate is designed by using nonlinear predictive control theory.Firstly, based on the angular rate of projectile as feedback term, the prediction error is minimized as the performance index. Based on nonlinear predictive control theory and optimization theory The nonlinear predictive guidance law is deduced and the stability of the closed-loop loop is proved.Secondly, aiming at the information of the target maneuver contained in the guidance law, a filter algorithm based on time delay control theory is designed and applied to the prediction guidance The final simulation considers the delay of the missile. The third-order autopilot model is used to verify that the designed guidance law can effectively intercept the maneuvering target. Compared with the traditional proportional guidance, the line-of-sight angular rate changes smoothly and overcomes the terminal line of sight Rate changes too fast and lead to overload conditions, reducing the requirements of the implementing agencies.