机载跟踪雷达的次最优控制

 本文把机载跟踪雷达的目标视为匀速直线运动叠加一阶马尔柯夫过程,在视线坐标系内建立状态方程和观测方程。采用二次型性能指标,用E-coupling法求得次最优控制律。模拟计算表明,采用该控制律的系统具有很高的跟踪精度,比经典比例控制大约提高一个数量级,和最优控制相当。

SUB-OPTIMAL CONTROL FOR AIRBORNE TRACKING RADAR

The input of a target is treated as a constant speed linear movement superposing the first order Markov process excited by an acceleration.The non-linear state equation and linear observation equation are set up in sight-coordinate.Utilizing the extended Kalman filter makes the state equation to be linearized. Using quadratic form performace function and e-coupling method the sub-optimal control law with analytical resolution is obtained.Because the Ricca equation can not be solved analytically, and the iterative method is consuming and not suitable to the on line real time control. The results of simulation computation show that target tracking system using sub-optimal control law has higher accuracy of tracking.Its accuracy is about 10 times higher than that of classical error control system and approachs to that of the optimal control system.