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非奇异快速终端二阶滑模有限时间制导律 被引量:6

Nonsingular fast terminal second-order sliding mode guidance law with finite-time convergence
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摘要 为实现对高速机动目标的准平行拦截,考虑导弹自动驾驶仪动态特性,设计了一种零化视线角速率的非奇异快速终端二阶滑模有限时间制导律。首先,基于终端滑模控制理论和二阶滑模控制理论,设计了非奇异快速终端二阶滑模制导律;其次,根据有限时间收敛控制理论,严格证明了系统的稳定性和有限时间收敛特性;为抑制测量噪声和估计弹目视线角速率,设计了有限时间收敛微分跟踪器,并将其与扩张观测器结合来估计不确定项。最后仿真结果表明:所设计的微分器不仅收敛速度快,估计精度高,且具有较强的抗干扰能力,同时针对目标做不同的类型机动,所设计的制导律均能实现视线角速率在有限时间收敛,为实现对高速机动目标的直接碰撞提供必要条件。 In order to achieve the interception of the high speed maneuvering target with quasi-parallel approaching state,a nonsingular fast terminal second-order sliding mode guidance law with finite time convergence is proposed with the consideration of the dynamics of missile’s autopilot.Firstly,a novel guidance law is designed based on the terminal sliding mode control and the second-order sliding mode control.Secondly,the finite-time convergent character and stability of the proposed guidance law are analyzed and proved subsequently with the finite time convergent control theorem.Thirdly,in order to restrain the measurement noise and estimate the line of sight(LOS)angular rate,a finite time convergent differential tracker is designed,which is combined with the extended state observer to estimate the uncertain terms.Simulation results show that the designed differentiator converges faster with high estimation precision and has stronger anti-interference ability.The designed guidance law makes the LOS rate angular convergence in finite time,which provides necessary conditions for the direct collision.
作者 李炯 张涛 雷虎民 叶继坤 王华吉 LI Jiong;ZHANG Tao;LEI Humin;YE Jikun;WANG Huaji(Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, China)
出处 《系统工程与电子技术》 EI CSCD 北大核心 2018年第4期860-867,共8页 Systems Engineering and Electronics
基金 国家自然科学基金(61573374 61503408) 航空科学基金(20150196006)资助课题
关键词 快速终端滑模 二阶滑模 有限时间收敛 扩张观测器 自动驾驶仪动态特性 fast terminal sliding mode second-order sliding mode finite-time convergence extended state observer (ESO) dynamics of autopilot
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