拦截弹多约束预设性能制导控制一体化设计  

Integrated guidance and control design of constrained interceptor based on preset performance

作　　者：唐骁 叶继坤 周池军 李旭 Tang Xiao;Ye Jikun;Zhou Chijun;Li Xu(Graduate School of Air Force Engineering University,Xi'an 710051,China)

机构地区：[1]空军工程大学研究生院,西安710051

出　　处：《战术导弹技术》2023年第3期106-117,128,共13页Tactical Missile Technology

基　　金：国家自然科学基金(61703421,61873278)。

摘　　要：为提高制导控制系统的性能,在拦截空中目标的末制导段,基于预设性能控制与动态面控制方法设计了一种一体化导引控制律。建立了具有非匹配不确定性的制导控制一体化模型。分析了拦截过程中拦截弹受到的攻击角约束和输入饱和约束,针对执行器受限,建立了辅助系统将受限系统转化为非受限系统。针对非受限系统,在动态面控制的基础上,利用预设性能趋近律,使跟踪误差按预设性能收敛,确保视线角、视线角速率、攻角跟踪误差在有限时间内收敛至预设范围内,以满足零控拦截条件和攻击角约束。运用Lyapunov函数稳定性理论严谨地证明了终端视线角跟踪误差、视线角速率的有限时间收敛性,以及系统的一致最终有界性。为保证控制律的执行,设计了非线性观测器对攻角进行观测,利用自适应律对模型不确定性进行估计。最后进行仿真实验,结果表明,所提设计方法能够使拦截弹在打击具有不同机动形式的目标时,均具备较好的导引控制性能。Aiming to improve the performance of guidance and control system in the terminal guidance phase of intercepting air targets,an integrated guidance control law is designed based on prescribed performance control and dynamic surface control.An integrated guidance and control model with unmatched uncertainties is established.The angle of attack constraints and input saturation constraints of the interceptor are analyzed in the intercepting process.Aiming at the actuator constraints,an auxiliary system is established to transform the restricted system into an unrestricted system.For the unconstrained system,based on the dynamic surface control,the tracking error can converge according to the preset performance by using the prescribed performance approach law,so as to ensure that the tracking error of line-of-sight,the rate of lineof-sight and the angle-of-attack can converge to the preset range in limited time,meeting the zero-control interception condition and angle-of-attack constraint.By using the Lyapunov stability theory,the tracking error of the terminal line-of-sight angle,the finite time convergence of the line-of-sight angle rate and the uniform final bounded property of the system are rigorously proved.In order to ensure the implementation of the control law,a nonlinear observer is designed to observe the angle-of-attack,and an adaptive law is used for estimating the model uncertainty.A six-degree-of-freedom simulation is carried out,and the simulation results show that the proposed method can make the interceptor have better guidance and control performance for hitting targets with different maneuvering modes.

关 键 词：预设性能控制 滑模控制 非线性观测器 制导控制一体化 攻击角约束 辅助系统 机动目标 

分 类 号：V448.133[航空宇航科学与技术—飞行器设计]