CAJ | 학술논문

针对防空导弹弹道跟踪问题，基于滑模变结构理论设计了一种弹道跟踪制导律。首先，采用弹道坐标变量而不是时间变量对导弹质点运动模型线性化，得到允许扰动范围更大的线性化模型；接着，基于单输入线性系统滑模变结构控制理论设计滑模面和制导指令，并给出制导系统工作原理；最后，在一定干扰作用下，将所设计的跟踪制导律应用于导弹质点运动仿真，从模型优劣、抑制随机风干扰能力、鲁棒性等方面进行分析，并与线性二次型调节器（linear quadratic regulator，LQR）跟踪制导律进行了比较，结果表明，该线性化模型与以时间为自变量的线性化模型相比具有一定优势，且滑模制导律对模型不确定性具有更好的鲁棒性。
침대방공도탄탄도근종문제，기우활모변결구이론설계료일충탄도근종제도률。수선，채용탄도좌표변량이불시시간변량대도탄질점운동모형선성화，득도윤허우동범위경대적선성화모형；접착，기우단수입선성계통활모변결구공제이론설계활모면화제도지령，병급출제도계통공작원리；최후，재일정간우작용하，장소설계적근종제도률응용우도탄질점운동방진，종모형우렬、억제수궤풍간우능력、로봉성등방면진행분석，병여선성이차형조절기（linear quadratic regulator，LQR）근종제도률진행료비교，결과표명，해선성화모형여이시간위자변량적선성화모형상비구유일정우세，차활모제도률대모형불학정성구유경호적로봉성。
A trajectory tracking guidance law is proposed based on the theory of sliding mode variable struc-ture control,which can help solve the problem of trajectory tracking for air-defense missile.Firstly,the missile mass model is linearised according to the coordinate variable instead of the time variable.Secondly,the sliding mode surface and the guidance commond are designed based on the theory of sliding mode variable structure con-trol for the single input linear system,and the principle of the guidance system is given.Finally the guidance law is evaluated with certain wind disturbation,in terms of the advantage of the model,the guidance law’s abilities to deal with disturbation and robustness and then compared with the guidance law of the linear quadratic regulator (LQR).Results show that the model used in this article is better than the traditional one which is linearised ac-cording to the variable of time,and the sliding mode variable structure control guidance law is better than the LQR guidance law in the robustness to uncertain model errors.