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A New Three-Dimensional Sliding Mode Guidance Law Variation With Finite Time Convergence

机译:有限时间收敛的新型三维滑模制导律变化

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摘要

This paper develops a new three-dimensional (3-D) guidance law which guarantees the interception of manoeuvring targets in a finite time. The new guidance law accepts the concept that nullifying the line-of-sight rate guarantees the interception of the target and its derivation is based on finite time sliding mode guidance. By using a 3-D kinematic equation set constructed in a rotating coordinate system, the proposed guidance law alleviates an issue of general 3-D guidance caused by the cross coupling effect between pitch and yaw planes. In theoretical analysis, finite time convergence of the new guidance law is proved and compared with that of a practical sliding mode guidance law. Characteristics such as energy consumption and convergence boundary layer are also theoretically analyzed. Simulation results demonstrate that the new guidance law effectively intercepts manoeuvring targets in a finite time and analysis results are valid.
机译:本文提出了一种新的三维(3-D)制导律,该律可保证在有限时间内拦截机动目标。新的制导律接受这样的概念,即取消视线速率可确保对目标的拦截,并且其推导基于有限时间滑模制导。通过使用在旋转坐标系中构建的3-D运动学方程组,拟议的制导律缓解了由俯仰和偏航平面之间的交叉耦合效应引起的一般3-D制导问题。在理论分析中,证明了新制导律的有限时间收敛性,并与实际的滑模制导律进行了比较。从理论上分析了能耗和收敛边界层等特征。仿真结果表明,新的制导律能在有限的时间内有效地拦截机动目标,分析结果是有效的。

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