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兵工学报 ›› 2015, Vol. 36 ›› Issue (8): 1443-1457.doi: 10.3969/j.issn.1000-1093.2015.08.011

• 论文 • 上一篇    下一篇

机动目标拦截含攻击角约束的新型滑模制导律

张尧, 郭杰, 唐胜景, 商巍, 张浩强   

  1. (北京理工大学 宇航学院 飞行器动力学与控制教育部重点实验室北京 100081)
  • 收稿日期:2014-10-10 修回日期:2014-10-10 上线日期:2015-10-16
  • 作者简介:张尧(1991—)男博士研究生
  • 基金资助:
    国家自然科学基金项目(11202024); 航空科学基金项目(2012ZA720002)

A Novel Sliding Mode Guidance Law with Impact Angle Constraint for Maneuvering Target Interception

ZHANG Yao, GUO Jie, TANG Sheng-jing, SHANG Wei, ZHANG Hao-qiang   

  1. (Key Laboratory of Dynamics and Control of Flight Vehicle of Ministry of Education, School of Aerospace Engineering,Beijing Institute of Technology, Beijing 100081, China)
  • Received:2014-10-10 Revised:2014-10-10 Online:2015-10-16

摘要: 针对导弹带有攻击角约束的机动目标拦截问题,结合积分滑模和全局滑模控制方法的优点,设计了一种全新的导弹滑模制导律(SMGL)。在纵向平面内建立考虑攻击角约束的弹目相对运动方程。采用一种新的非线性饱和函数来构造积分滑模面中的积分项,提出了一种新型的非线性全局积分滑模控制方法,解决了传统积分滑模控制中系统暂态性能恶化的问题,降低了系统的稳态误差,保证导弹在有限时间内以更理想的攻击角命中目标,同时使导弹在整个拦截过程中具有很强的鲁棒性。采用动态面控制方法设计了考虑攻击角约束和自动驾驶仪动态特性的导弹全局非线性积分SMGL,基于Lyapunov稳定性准则证明了闭环系统所有状态最终一致有界。与传统线性积分SMGL和偏置比例导引律进行仿真对比,仿真结果验证了全局非线性积分SMGL的有效性和优越性。

关键词: 飞行器控制、导航技术, 制导律, 全局非线性积分滑模, 动态面控制, 攻击角约束

Abstract: A novel missile sliding mode guidance law (SMGL) in which a missile intercepts maneuvering target is proposed, which is based on a combination of the advantages of integral sliding mode control and global sliding mode control. The relative motion equations of missile and target, in which the impact angle constraints are considered, are established within the perpendicular plane. A new nonlinear saturation function is adopted to construct an integral term in global integral sliding mode surface, and then an improved nonlinear global integral sliding mode control technique is presented, which solves the problem about system transient performance deterioration and decreases the steady state errors. It is obvious that the designed guidance law enables the missile to hit target at a desirable impact angle in finite time, and the missile to be of strong robustness during the whole interception. The missile global nonlinear integral SMGL in which the autopilot dynamics and impact angle constraints are considered is investigated by adopting dynamic surface control. It is demonstrated that all states in the closed loop system are ultimately bounded on the account of Lyapunov stability theorem. The simulation results verify the effectiveness and superiority of global nonlinear integral SMGL.

Key words: control and navigation technology of aircraft, guidance law, global nonlinear integral sliding mode, dynamic surface control, impact angle constraint

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