带扰动的线性系统微小故障早期诊断方法

摘要/Abstract

摘要：

摘要：针对带有未知扰动的线性系统微小故障的早期诊断，提出一类综合自适应滑模观测器方法，使得该观测器既能估计微小故障又能对未知扰动有强鲁棒性.将线性系统通过坐标变换解耦为两个子系统，其中：一个子系统与扰动无关，对其设计自适应观测器，实现对微小故障的检测；另一个子系统既受未知扰动又受微小故障的影响，对其设计滑模观测器，以消除未知扰动的影响，从而保证系统的强鲁棒性.通过四旋翼直升机模型验证了所提出的综合自适应滑模观测器微小故障早期诊断检测算法的有效性.

关键词: , 微小故障检测, 坐标变换, 自适应滑模观测器

Abstract:

Abstract： A synthesized adaptive and sliding-mode observer (SMO) was designed for the incipient fault in a class of linear system with unknown disturbance, which can not only estimate the incipient fault, but also have strong robustness against unknown disturbances. The linear system was transformed by coordinate transformation into two subsystems, one of which was free from disturbances and an adaptive observer is designed to estimate the incipient fault, the other of which was affected by disturbances and incipient faults and a sliding mode observer is designed to eliminate the effect of unknown disturbances and ensure the robustness of the system. Simulation results of the quadrotor helicopter verify the efficiency of the proposed adaptive and sliding-mode observer-based incipient fault detection algorithm.

Key words: detetion of incipient fault, coordinate transformation, adaptive and sliding mode observer

中图分类号:

TP 24

柳春,姜斌,张柯,吴云凯. 带扰动的线性系统微小故障早期诊断方法[J]. 上海交通大学学报（自然版）, 2015, 49(06): 889-896.

LIU Chun,JIANG Bin,ZHANG Ke,WU Yunkai. Incipient Fault Detection of Linear System with Disturbance[J]. Journal of Shanghai Jiaotong University, 2015, 49(06): 889-896.

参考文献

［1］Wang Hong, Daley S. Actuator fault diagnosis: An adaptive observerbased technique ［J］. IEEE Transactions on Automatic Control, 1996, 41(7): 10731078.

［2］Gholami A, Markazi A H D. A new adaptive fuzzy sliding mode observer for a class of MIMO nonlinear systems ［J］. Nonlinear Dynamics, 2012, 70(3): 20952105.

［3］GAO Chunyan, DUAN Guangren. Robust adaptive fault estimation for a class of nonlinear systems subject to multiplicative faults ［J］. Circuit, Systems, and Signal Processing, 2012, 31(6): 20352046.

［4］Jiang Bin, Staroswiecki M, Cocquempot V. Fault estimation in nonlinear uncertain systems using robust slidingmode observers ［J］. IET Control Theory & Application, 2004, 151(1): 2937.

［5］李娟，周东华，司小胜. 微小故障诊断方法综述［J］. 控制理论与应用, 2012, 29(12): 15171529.

LI Juan, ZHOU Donghua, SI Xiaosheng. Review of incipient fault diagnosis methods ［J］. Control Theory and Application, 2012, 29(12): 15171529.

［6］陈业, 胡昌华, 周志杰, 等. 一种改进的 SRCDKF 算法及其在早期微小故障检测中的应用［J］. 自动化学报, 2013, 39(10): 17031713.

CHEN Ye, HU Changhua, ZHOU Zhijie, et al. Method of improving squareroot center difference Kalman filter with application to incipient failure detection ［J］. Acta Automatica Sinica, 2013, 39(10): 17031713.

［7］JIANG Bin, WANG Jianliang, SOH YengChai. An adaptive technique for robust diagnosis of faults with independent effects on system outputs ［J］. International Journal of Control, 2002, 75(11): 792802.

［8］ZHANG Ke, JIANG Bin, SHI Peng. Fast fault estimation and accommodation for dynamical systems ［J］. IET Control Theory and Applications, 2009, 3(2):189199.

［9］ZHANG Ke, JIANG Bin. Fault diagnosis observerbased output feedback fault tolerant control design ［J］. Acta Automatica Sinica, 2010, 36(2): 274281.

［10］Chen Wen, Chowdhury F N. A synthesized design of sliding mode and Luenberger observers for early detection of incipient faults ［J］. International Journal of Adaptive Control and Signal Processing, 2010, 24(12): 10211035.

［11］Chen Wen, Chowdhury F N. Analysis and detection of incipient faults in postfault systems subject to adaptive faulttolerant control ［J］. International Journal of Adaptive Control and Signal Processing, 2008, 22(9): 815832.

［12］Demetriou M A, Polycarpou M M. Incipient fault diagnosis of dynamical systems using online approximators ［J］. IEEE Transactions on Automatic Control, 1998, 43(11): 16121617.

［13］Zhang Xiaodong, Polycarpou M M, Parisini T. A robust detection and isolation scheme for abrupt and incipient faults in nonlinear systems ［J］. IEEE Transactions on Automatic Control, 2002, 47(4): 576593.

［14］Fahmida C, Jiang Bin. A new technique for fast detection of progressive Faults ［C］∥Proceedings of American Control Conference. Boston, USA: IEEE, 2004: 50585063.

［15］YANG Chengshun, YANG Zhong, HUANG Xiaoning, el at. Distributed faulttolerant control for quadrotor ［J］. Journal of Applied Sciences, 2013, 31(3): 321330.

［16］WANG Yinqiu, WU Qinghe, WANG Yao, et al. Consensus algorithm for multiple quadrotor systems under fixed and switching topologies ［J］. Journal of Systems Engineering and Electronics, 2013, 24(5): 818827.

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