CAJ | 학술논문

针对防空导弹弹道跟踪问题，基于线性二次型调节器（ LQR）理论设计了2种弹道跟踪制导律。首先，以时间为自变量，对导弹质点运动模型线性化，得到第一种线性化模型；接着，为提高模型精度和允许扰动范围，以导弹X坐标为自变量对导弹质点运动模型线性化，得到第二种线性化模型；然后，针对2种线性化模型，利用LQR理论分别设计跟踪制导律，并给出制导指令计算公式和制导流程；最后，在一定外界干扰作用下，将所设计2种跟踪制导律应用于导弹质点运动仿真，并从抑制随机风干扰、消除初始偏差等方面对2种制导律进行比较。结果表明，2种制导律都能实现弹道精确跟踪，且基于第2种线性化模型设计的跟踪制导律各项性能均优于第1种跟踪制导律，说明基于导弹X坐标线性化的模型精确度较高，适用于弹道跟踪制导律的设计。
침대방공도탄탄도근종문제，기우선성이차형조절기（ LQR）이론설계료2충탄도근종제도률。수선，이시간위자변량，대도탄질점운동모형선성화，득도제일충선성화모형；접착，위제고모형정도화윤허우동범위，이도탄X좌표위자변량대도탄질점운동모형선성화，득도제이충선성화모형；연후，침대2충선성화모형，이용LQR이론분별설계근종제도률，병급출제도지령계산공식화제도류정；최후，재일정외계간우작용하，장소설계2충근종제도률응용우도탄질점운동방진，병종억제수궤풍간우、소제초시편차등방면대2충제도률진행비교。결과표명，2충제도률도능실현탄도정학근종，차기우제2충선성화모형설계적근종제도률각항성능균우우제1충근종제도률，설명기우도탄X좌표선성화적모형정학도교고，괄용우탄도근종제도률적설계。
Two trajectory tracking guidance laws were designed based on the theory of linear quadratic regulator( LQR) ,which can help to solve the problem of trajectory tracking for surface?to?air missile.Firstly,the variable of time was chosen to linearize the missile mass model to get the first linear model,and then,the coordinate variable of X axial was chosen to linearize the missile mass model to get the other linear model,which was more accurate;secondly,two trajectory tracking guidance laws were proposed with theory of linear quadratic regulator( LQR) and the two linear models given above,the flow chart of the guidance system was proposed too.Finally both of the laws were evaluated in simulations with uncertain disturbances,and were compared in two aspects as the abili?ty to deal with disturbances and to remove the initial error.Results show that both laws can assure the trajectory tracking accurately, but the second one behaves better than the first one.