线性二次型最优导引律的设计及仿真  

Design and Simulation of the LQR Optimal Guidance Law

作　　者：张少龙[1] 齐应杰[1] 

机构地区：[1]平顶山工业职业技术学院计算机系,河南平顶山467001

出　　处：《控制工程》2016年第1期129-132,共4页Control Engineering of China

摘　　要：针对侧滑转弯导弹的比例导引法末端法向过载量大、可能产生较大脱靶量等不足,建立最优导引律的数学模型,在其状态方程的基础上,运用线性二次型理论,推导出在脱靶量和控制能量约束下的最优导引律的完整过程,并获得解析解。仿真结果表明,最优导引律不仅能满足脱靶量和能量约束条件,而且相对于比例导引弹道更加平直,需要的法向过载更低,从而提高命中精度,实现侧滑转弯导弹的最优导引。In order to overcome the disadvantage of big amount of normal overload in the end and probable greater amount of off-target caused by the guidance method of sideslip angle missile, the paper builds mathematical model of optimal guidance law, based on the equation of state, using the linear quadratic theory, derive the complete process of miss distance and control energy constrained optimal guidance law, and obtains analytical solutions.Simulation results show that the optimal guidance law can not only meets the miss distance and energy constraints, but also is straighter than proportion guide trajectory, and it needs to use a much lower overload, thereby improving hit accuracy to achieve optimal guidance of sideslip angle missile.

关 键 词：比例导引 线性二次型 最优导引 仿真 

分 类 号：TJ765.4[兵器科学与技术—武器系统与运用工程]