摘要
对于三维空间的目标末段拦截问题,设计了一种最优变结构末制导律。通过引入伪控制量,应用线性二次型最优控制理论推导出了视线纵向和侧向平面内的最优制导律,然后,基于变结构控制理论,将目标机动量视为扰动量,设计了一种三维的最优变结构末制导律,并通过Lyapunov稳定性定理确定变结构制导参数范围。最后仿真表明,相对于比例导引,弹道更为平滑,制导精度髙,克服了比例导引末端视线角速率发散的情况,大大降低了对执行机构的要求。
An optimal variable structure terminal guidance law is proposed for the three-dimensional termi- nal interception. Based on the theory of linear quadratic optimal control, an optimal guidance law between the longitudinal plan and lateral plan is designed by means of the pseudo control variable. And then by counting the maneuver of target as perturbation, a three-dimensional optimal variable structure terminal guidance law is designed on the basis of variable structure control theory. Meanwhile, the range of guidance parameters is acquired by the Lyapunov stability theorem. Finally, by comparing with the proportional guidance law, the simulation result shows that the smoother trajectory and higher guidance precision are achieved by using the designed guidance law. Meanwhile, it overcomes the proliferating of angular velocity of sight line and highly reduces the demands of implementation institution.
出处
《航天控制》
CSCD
北大核心
2011年第6期54-59,共6页
Aerospace Control
关键词
伪控制量
最优制导律
变结构制导律
鲁棒性
Pseudo control variable
Optimal guidance law
Variable structure guidance law
Robustness
