一种非线性闭环多约束最优末制导律研究

The Research of Terminal Optimal Guidance Law with Multiple Constraints

针对复杂环境多约束条件下的飞行器末制导问题,提出了一种基于最优控制理论,同时考虑过程约束和终端约束的末制导律设计方法。首先,考虑终端位置、落角和过载需求,基于最优控制理论和Schwartz不等式,建立了过载指令表达式;然后,根据需要对其进行了简化处理,得到了便于应用的表达形式;接着,在建立飞行过载和导引头视角解析表达式并进行分析的基础上,设计了同时考虑过程约束和终端约束的制导参数设计策略;最后,开展了仿真分析,仿真结果表明,所提制导律在满足飞行过程和终端约束的同时,降低了飞行器飞行末段过载需求。

Aiming at the precise terminal guidance of flight vehicle under multiple constraints,an engineering terminal guidance law design method based on optimal control theory and considering both process constraints and terminal constraints is proposed.Firstly,considering the terminal position,terminal angle and overload demand,the overload command expression is established,based on the optimal control theory and Schwartz inequality theorem.Then,according to the need of engineering application,the overload command expression is simplified.Then,on the basis of establishing and analyzing the analytical expressions of flight overload and seeker angle of view,a guidance parameter design strategy considering both process constraints and terminal constraints is designed.Finally,the simulation is carried out,and the simulation results show that the proposed optimal terminal guidance law can meet the flight process constraints and terminal constraints,and reduce the terminal overload requirements.