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空天防御  2020, Vol. 3 Issue (3): 9-15    
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基于固定时间收敛的终端角约束滑模制导律设计
张晓宇1,2,张鹏2,郑鑫3,倪元华1
1. 南开大学人工智能学院,天津 300350;
2. 哈尔滨工程大学智能科学与工程学院,黑龙江 哈尔滨 150001;
3. 上海航天技术研究院,上海 201109
Terminal Angle Constraint Sliding Mode Guidance Law Design Based on Fixed-time Convergence
ZHANG Xiaoyu1,2,ZHANG Peng2,ZHENG Xin3,NI Yuanhua1
1. College of Artificial Intelligence, Nankai University, Tianjin 300350, China;
2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China;
3. Shanghai Academy of Spaceflight Technology, Shanghai 201109, China
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摘要 为了提高导弹对目标的杀伤性,实现导弹在有界的有限时间内对目标进行成功拦截,提出一种基于固定时间收敛的终端角约束滑模制导律。首先,建立了导弹拦截目标的平面制导系统模型,将目标的机动看作未知的有界扰动;其次,应用固定时间扰动观测器对制导系统的扰动进行观测;再次,基于固定时间收敛滑模控制和固定时间扰动观测器设计终端角约束制导律,证明了制导系统的固定时间稳定性,并给出了制导系统状态的收敛域;最后,通过大量的仿真,验证了所设计的制导律能在保证精确拦截目标的同时实现对目标的指定角度打击。
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关键词 终端角约束固定时间扰动观测器固定时间收敛滑模控制固定时间稳定    
Abstract:In order to improve the target destruction by the missile and achieve successful interception of the target in a bounded finite time, a terminal angle constraint sliding mode guidance law based on fixed-time convergence is proposed. Firstly, a plane guidance system model of missile intercepting target is established, and the target maneuver is regarded as unknown bounded disturbance. Secondly, a fixed time disturbance observer is used to observe the disturbance of the guidance system. Thirdly, the terminal angle constraint guidance law is designed based on fixedtime convergence sliding mode control and fixed-time disturbance observers. The fixed-time stability of the guidance system is proved, and the convergence domains of guidance system states are given. Finally, it is verified that the designed guidance law can achieve intercepting the target at a specified angle while ensuring accurate interception via numerical simulations.
Key wordsterminal angle constraint    fixed-time disturbance observer    fixed-time convergence sliding mode control    fixed-time stability
收稿日期: 2020-07-16      出版日期: 2020-09-29
ZTFLH:  TJ765.3  
基金资助:国家自然科学基金(61773222),国防基础科研项目(JCKY2018203C020)
作者简介: 张晓宇(1971—),男,博士,教授,主要研究方向为导航制导与控制、人工智能技术。
引用本文:   
张晓宇, 张鹏, 郑鑫, 倪元华. 基于固定时间收敛的终端角约束滑模制导律设计[J]. 空天防御, 2020, 3(3): 9-15.
ZHANG Xiaoyu, ZHANG Peng, ZHENG Xin, NI Yuanhua. Terminal Angle Constraint Sliding Mode Guidance Law Design Based on Fixed-time Convergence. Air & Space Defense, 2020, 3(3): 9-15.
链接本文:  
https://www.qk.sjtu.edu.cn/ktfy/CN/      或      https://www.qk.sjtu.edu.cn/ktfy/CN/Y2020/V3/I3/9

参考文献
[1] 赵斌, 朱传祥, 仝云, 胡阳, 李权, 蒋瑞民. 基于自适应滑模观测器的终端角度约束制导律[J]. 空天防御, 2019, 2(4): 19-24.
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