非奇异快速终端滑模有限时间收敛制导律

Nonsingular fast terminal sliding mode guidance law with finite-time convergence

针对普通快速终端滑模控制方法所产生的奇异问题,设计了考虑导弹自动驾驶仪动态特性的非奇异快速终端滑模有限时间收敛制导律。首先,推导了考虑导弹自动驾驶仪动态特性的非线性弹目相对运动学模型;其次,针对普通快速终端滑模控制的奇异问题,设计了非奇异快速终端滑模面,推导了有限时间收敛制导律,并对其稳定性进行了分析;再次,结合有限时间稳定性理论,对所设计制导律的有限时间收敛特性进行了分析和证明。仿真结果表明,所设计的制导律在目标做不同类型和大小机动的情况下,均能实现视线角速率有限时间收敛并准确命中目标,且其脱靶量和拦截时间均小于传统滑模制导律。

A nonsingular fast terminal sliding mode guidance law with finite-time convergence incorporating dynamics of missile autopilots was proposed for the singular problems of common fast terminal sliding mode control. Firstly, the nonlinear target-missile dy- namic model incorporating dynamics of missile autopilots was derived. Secondly, the nonsingular fast terminal sliding mode surface was proposed for the singular problems of common fast terminal sliding mode control, and then the guidance law with finite-time conver-gence was derived, whose stability was analyzed subsequently. Thirdly, the finite-time convergent character of the proposed guidance law was analyzed and proved combining with the finite-time stable theorem. Simulation results show that the proposed guidance law could achieve finite-time convergence of line-of-sight rate and impact the target correctly in the case of different types and different magnitudes of target maneuvers, whose miss distances and interception time are lower than the common sliding mode guidance law.