基于代数方法的全维故障检测观测器设计  

Design of full-order fault detection observer based on algebraic approach

作　　者：王辉[1] 韩冬 李娟[1] 魏玲[3] WANG Hui;HAN Dong;LI Juan;WEI Ling(School of Automation,Beijing Information Science and Technology University,Beijing 100092,China;School of Physics and Electronic Engineering,Hanshan Normal University,Chaozhou,Guangdong 521041,China;Department of Electrical Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]北京信息科技大学自动化学院,北京100092 [2]韩山师范学院物理与电子工程学院,广东潮州521041 [3]清华大学电机工程与应用电子技术系,北京100084

出　　处：《江苏大学学报（自然科学版）》2020年第1期81-86,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51477010);北京市教委科研计划项目(KM201711232007);北京信息科技大学校基金资助项目(5221910917);北京信息科技大学促进高校内涵发展科研水平提高项目(5221823306)

摘　　要：针对伴有不匹配未知干扰的线性时不变系统,将全维观测器的设计方法和未知干扰建模技术相结合,设计出对未知干扰解耦的故障检测观测器.首先,采用代数建模技术将匹配未知干扰从未知干扰中分离出来,剩余的干扰部分即为不匹配未知干扰;然后,依据先验知识对不匹配未知干扰代数建模,构建出一个满足秩条件的增广系统;最后,针对增广系统,设计全维故障检测观测器,并构造对未知干扰鲁棒且对故障敏感的残差.将所提方法应用于一类垂直起降直升机系统,并对系统模型进行仿真.仿真结果表明所提出的全维故障检测观测器是有效的.Aiming at the linear time-invariant systems with mismatched unknown disturbances,the design approach of full-order fault detection observer was combined with modeling technique of unknown disturbance to design the detection observer for decoupling the unknown disturbance.Employing the algebraic modelling technique,the matched unknown disturbances were separated from the unknown disturbances,while the mismatched unknown disturbances were remained.An augmented system based on the combination of the original system and the mismatched unknown disturbances model was constructed to satisfy the rank condition.A full-order observer was designed for the augmented system,and the conditions for the existence were analyzed.The residual generated by the full-order observer was robust to the unknown disturbances while sensitive to the faults.The proposed method was applied to a class of vertical take-off and landing helicopter system,and the system model was simulated.The simulation results show that the proposed full-order fault detection observer is effective.

关 键 词：不匹配未知干扰 故障检测与分离 代数建模 全维观测器 增广系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]