快速反射镜恒偏差故障观测器设计  

Design of constant bias fault observer for fast steering mirrors

作　　者：李智斌 潘嘉男 孙崇尚 吴佳彬 LI Zhi-bin;PAN Jia-nan;SUN Chong-shang;WU Jia-bin(College of Electrical and Automation Engineering,Shandong University of Science and Technology,Qingdao 266590,China;Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China)

机构地区：[1]山东科技大学电气与自动化工程学院,山东青岛266590 [2]中国科学院长春光学精密机械与物理研究所,吉林长春130033

出　　处：《中国光学(中英文)》2025年第1期121-133,共13页Chinese Optics

基　　金：国家自然科学基金(No.U23A20336,No.52227811);山东省自然科学基金(No.ZR2021QF140,No.ZR2021QF117,No.ZR2024MF133);青岛西海岸新区“一事一议”人才项目资助。

摘　　要：快速反射镜的工作环境一般比较恶劣,容易受到振动冲击、温度变化等影响,导致故障。本文针对最为普遍的恒偏差故障,提出了一种基于线性矩阵不等式(linear matrix inequality,LMI)的故障观测器设计方法,旨在提高故障检测的可靠性,增强快速反射镜的稳定性以及抗干扰能力。首先,采用基于汉克尔(Hankel)矩阵的模型辨识方法得到了考虑耦合效应的两轴快速反射镜模型。然后,建立了快速反射镜系统的故障模型,采用基于LMI的方法对快速反射镜的故障观测器进行设计。最后,通过仿真与实验对该方法进行验证。结果表明,当快速反射镜的两轴发生执行器和传感器恒偏差故障时,基于黎卡提(Riccati)方程的故障观测器只能检测出其中一个轴的故障,基于LMI的故障观测器对X轴能在故障发生后0.1 s内检测出故障,对Y轴能在故障发生后0.06 s内检测出故障。上述结果表明本文设计的LMI故障观测器能够更加准确地实现对快速反射镜的故障检测。Fast steering mirror(FSM)typically operates in harsh environments,susceptible to vibrations,temperature fluctuations,and other factors,which can lead to malfunctions.Focusing on the most prevalent constant bias fault,this paper proposes an LMI-based fault observer design method,aiming to enhance the reliability of fault detection and strengthen the stability and anti-interference capabilities of the FSM.Firstly,the model identification method based on Hankel matrix is employed to identify the two-axis fast steering mirror model including the coupling effect.Then,the fault model of the fast steering mirror system is established,and the fault observer of the fast steering mirror is designed by using the LMI-based method.Finally,the proposed method is verified through simulations and experiments.The results indicate that when both axes of the fast steering mirror have constant bias faults in the actuators and sensors,the Riccati-based fault observer can only detect the fault in one axis,while the LMI-based fault observer can detect faults within 0.1 seconds after the fault of the X-axis occurs,and detect faults within 0.06 seconds after the fault of the Y-axis occurs.Therefore,the fault observer designed by the LMI method proposed in this paper can improve the fault detection performance of the fast steering mirror.

关 键 词：快速反射镜 恒偏差故障 模型辨识 线性矩阵不等式 故障观测器 

分 类 号：TP394[自动化与计算机技术—计算机应用技术] TH691.9[自动化与计算机技术—计算机科学与技术]