空空导弹敏捷转弯固定时间收敛滑模控制  

Fixed⁃time convergent sliding mode control for agile turn of air⁃to⁃air missiles

作　　者：李政 于剑桥[1] 赵新运 LI Zheng;YU Jianqiao;ZHAO Xinyun(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《航空学报》2023年第8期203-216,共14页Acta Aeronautica et Astronautica Sinica

摘　　要：针对空空导弹攻击载机后半球目标的敏捷转弯控制问题,提出了一种基于固定时间稳定理论和抗干扰机制的滑模控制方法。首先,建立了考虑气动干扰的直接力/气动力复合控制的空空导弹运动模型;其次,通过引入分段非线性函数,采用双变幂次快速终端滑模面,设计了一种非奇异固定时间收敛敏捷转弯滑模控制器;再次,为了削弱滑模控制方法的抖振现象,针对一类匹配气动干扰,设计了一种双幂次固定时间收敛的扩张状态观测器(ESO),实现了对气动扰动的快速准确估计以补偿控制律;然后,基于Lyapunov稳定性理论证明了系统的固定时间稳定性,并给出了收敛时间表达式;最后,通过敏捷转弯弹道仿真分析,验证了所提方法的有效性。与以往控制方法相比,本文所提方法能够让导弹在不同初始状态下都能在较小的固定时间内完成敏捷转弯,系统收敛速度较快,有效削弱了抖振并提高了复合控制效率。Based on the fixed-time stability theory and disturbance rejection mechanism,a method for sliding mode control is proposed for the agile turn when an air-to-air missile intercepts a target in the rear hemisphere of the carrier.First,a mathematical model for air-to-air missile with blended lateral thrusters and aerodynamic control systems is es⁃tablished considering the aerodynamic disturbance.Next,by introducing the segmented nonlinear function to a doublevariable-power sliding mode,a fixed-time convergent nonsingular sliding mode controller is designed.Then,to weaken the chattering in sliding mode control,a fixed-time convergent double-variable-power Extended State Observer(ESO)is designed to realize precise estimation of matched aerodynamic disturbance,so as to compensate for the control law.Based on the Lyapunov stability theory,the fixed-time stability of the system is proved,and the expres⁃sion for the convergence time is given.Finally,simulation and analysis of the missile agile turn is given to validate the effectiveness of the theoretical results.Compare with previous controllers,the controller proposed allows the missile to complete agile turns at different initial states in a small fixed time,converge more quickly,weaken the chattering effec⁃tively and improve the control efficiency.

关 键 词：空空导弹 敏捷转弯 复合控制 固定时间收敛 终端滑模控制 扩张状态观测器 

分 类 号：V249[航空宇航科学与技术—飞行器设计] TJ765.2[兵器科学与技术—武器系统与运用工程]