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基于连续有限时间控制技术的导引律设计
引用本文:丁世宏,李世华,罗生. 基于连续有限时间控制技术的导引律设计[J]. 宇航学报, 2011, 32(4). DOI: 10.3873/j.issn.1000-1328.2011.04.004
作者姓名:丁世宏  李世华  罗生
作者单位:1. 东南大学自动化学院,南京,210096;江苏大学电气信息工程学院,镇江,212013
2. 东南大学自动化学院,南京,210096
3. 中国空空导弹研究院,洛阳,471009
基金项目:教育部博士点基金,航空科学基金项目
摘    要:针对导弹末段制导问题,提出了一种基于连续有限时间控制技术的导引设计方案.首先,利用有限时间Lyapunov稳定性理论,设计出一种连续有限时间导引律.该导引律使得:当目标不作机动时,视线角速率会在有限时间内收敛到零;当目标机动时,视线角速率会收敛到原点附近的一个小邻域内.其次,考虑到有限时间控制系统在离原点较远处状态趋近平衡点速度慢的特点,在导引律中引入了线性状态反馈项来改善闭环系统的收敛性能.仿真结果表明了该方法的有效性.

关 键 词:导引律  导弹  有限时间控制  有限时间稳定性

Guidance Law Design Based on Continuous Finite-Time Control Technique
DING Shi-hong,LI Shi-hua,LUO Sheng. Guidance Law Design Based on Continuous Finite-Time Control Technique[J]. Journal of Astronautics, 2011, 32(4). DOI: 10.3873/j.issn.1000-1328.2011.04.004
Authors:DING Shi-hong  LI Shi-hua  LUO Sheng
Affiliation:DING Shi-hong1,2,LI Shi-hua1,LUO Sheng3(1.School of Automation,Southeast University,Nanjing 210096,China,2.School of Electric and Information Engineering,Jiangsu University,Zhenjiang 212013,3.China Airborne Missile Academy,Luoyang 471009,China)
Abstract:For missile terminal guidance problem,a finite-time guidance scheme is developed by using finite-time control technique.First,a continuous finite-time guidance law is designed based on the finite-time Lyapunov stability theory.The guidance law makes the line of sight(LOS) angular rate converge to zero in finite time when the target does not maneuver.If the target performs the maneuver,the LOS angular rate will be stabilized to a small neighborhood of the origin.Then,considering that states of finite-time co...
Keywords:guidance law  missile  finite-time control  finite-time stability.  
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