宇航学报2024,Vol.45Issue(2) :283-294.DOI:10.3873/j.issn.1000-1328.2024.02.013

时间约束三维超螺旋滑模制导控制一体化方法

Three-dimensional Time Constrained Super-twisting Sliding Mode Integrated Guidance and Control Method

李雪 王青
宇航学报2024,Vol.45Issue(2) :283-294.DOI:10.3873/j.issn.1000-1328.2024.02.013

时间约束三维超螺旋滑模制导控制一体化方法

Three-dimensional Time Constrained Super-twisting Sliding Mode Integrated Guidance and Control Method

李雪 1王青2
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作者信息

  • 1. 北京航空航天大学自动化科学与电气工程学院,北京 100191
  • 2. 北京航空航天大学自动化科学与电气工程学院,北京 100191;北京航空航天大学国际创新学院,杭州 311115
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摘要

针对飞行器时间约束制导问题,提出了一种新型三维制导控制一体化方法.为满足大前置角及大期望到达时间下时间约束制导的需要,提出了一种新型滑模面,并证明了滑模运动时前置角的渐近收敛特性.在该滑模面的基础上,基于超螺旋算法和反步法,提出了有限时间稳定的制导控制一体化控制律,保证李普希茨有界扰动下的鲁棒,且控制量连续,其有限时间收敛特性通过李雅普诺夫稳定性理论得到证明,其有效性通过数值仿真得到了验证.

Abstract

A novel integrated method of guidance and control is proposed towards three-dimensional time constrained guidance problem of flight vehicles.In order to meet the requirements of time constrained guidance with large leading angle as well as large desired arrival time,a new sliding surface is devised,while the asymptotic convergence of the leading angle during sliding motion is proved.On the basis of the proposed sliding surface,an integrated guidance and control law with finite-time stability is proposed leveraging backstepping and Super-twisted algorithm,which is continuous and guarantees robustness under Lipschitz bounded disturbances.The finite-time convergence is proved by Lyapunov stability theory,and the effectiveness of the method proposed is validated by numerical simulations.

关键词

飞行器/攻击时间控制制导/制导控制一体化/超螺旋算法/反步法

Key words

Flight vehicle/Impact-time-control guidance/Integrated guidance and control/Super-twisting algorithm/Backstepping

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出版年

2024
宇航学报
中国宇航学会

宇航学报

CSTPCDCSCD北大核心
影响因子:0.887
ISSN:1000-1328
参考文献量23
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