基于有限时间广义H_2范数的直接侧向力启控时间分析

Analysis of Switch Time of Lateral Thrust Based on Finite-Time Generalized H_2 Norm

采用直接侧向力与气动力复合控制技术可以显著改善导弹末制导系统性能,而确定直接侧向力启控时间是复合控制技术的关键问题。首先给出了复合控制导弹末制导系统的数学描述,然后基于有限时间广义H2范数,分析了直接侧向力启控时间与零效脱靶量、目标机动、导引头量测噪声的内在关系,最后根据零效脱靶量随启控剩余时间的变化情况,指出存在一个启控剩余时间临界值,可以为直接侧向力启控时间的确定提供重要依据。

Using the blended control with lateral jets and aerodynamic fins,the performance of missile terminal guidance system can be significantly improved. For blended control system,the key problem is to determine the switch time of lateral thrust. Firstly,mathematical description of terminal guidance system is given. Secondly,the relations among switch time of lateral thrust,zero effort miss （ZEM）,target acceleration and variance of seeker noise is developed based on finite-time generalized H2 norm. Finally,through analyzing zero effort miss with switching time of lateral thrust,it shows that there exist critical time-to-go,which can provide the basis for determining the switch time of lateral thrust.