Design of high-gain observers with sliding mode for the actuator robust fault detection of nonlinear system

被引:2
作者
Liu, Cong [1 ]
Li, Ying-Hui [1 ]
机构
[1] Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi'an
来源
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2014年 / 36卷 / 08期
关键词
Diffeomorphism; Fault detection; High-gain observer; Sliding mode;
D O I
10.3969/j.issn.1001-506X.2014.08.28
中图分类号
学科分类号
摘要
The hign-gain observer with sliding mode used for the actuator robust fault detection is designed for the simulating mapped nonlinear system with unknown disturbances. Firstly, the system is transformed into a whole standard observed system by means of global diffeomorphic coordination transformation. Then, according to the transformed system with the Lipschitz item, the high-gain observer with sliding mode is designed, the calculating method of plus gene is presented and the condition of convergence on the state error of the observer is put forward and proved according to Lyaponov stable theories. Meanwhile, the sliding control item is designed to restrain the effect of disturbances and the condition of convergence on the sliding which makes the observer robust is presented and testified. Finally, an example of a three order motor model is given to testify the effectiveness of the proposed method.
引用
收藏
页码:1626 / 1631
页数:5
相关论文
共 18 条
[1]  
Zhu F.L., Cen F., Dong X.P., A kind of fault detection and fault reconstruction based on full-order and reduced-order observers, Control and Decision, 26, 2, pp. 258-270, (2011)
[2]  
Zarei J., Ahmadizadeh S., LMI-based unknown input observer design for fault detection, Proc. of the 2nd International Conference on Control, Instrumentation and Automation, pp. 1130-1135, (2011)
[3]  
Aldeen M., Sharma R., Estimation of states faults and unknown disturbances in nonlinear systems, International Journal of Control, 81, 8, pp. 1195-1201, (2008)
[4]  
Zhang X.D., Polycarpou M.M., Parisini T., Fault diagnosis of a class of nonlinear uncertain systems with Lipschitz nonlinearities using adaptive estimation, Automatica, 46, 14, pp. 290-299, (2010)
[5]  
Guo Z.H., Li S.D., Modification of an adaptive observer to improve its performance in actuator fault detection, Proc. of the 18th Mediterranean Conference on Control & Automation, pp. 75-81, (2010)
[6]  
Xu A.P., Zhang Q.H., Nonlinear system fault diagnosis based on adaptive estimation, Automatica, 40, 7, pp. 1181-1193, (2004)
[7]  
Mao Z.H., Jiang B., The fault accommodation of a class of nonlinear system based on neural network observer, Control and Decision, 22, 1, pp. 11-15, (2007)
[8]  
Veluvolu K.C., Soh Y.C., Fault reconstruction and state estimation with sliding mode observers for Lipschitz nonlinear systems, Control Theory and Applications, 5, 11, pp. 1255-1263, (2011)
[9]  
Ng K.Y., Tan C.P., Oetomo D., Disturbance decoupled fault reconstruction using cascaded sliding mode observers, Automatica, 48, 6, pp. 794-799, (2012)
[10]  
Chen W., Saif M., Observer -based strategies for actuator fault detection, isolation and estimation for certain class of uncertain nonlinear systems, Control Theory and Applications, 1, 6, pp. 1672-1680, (2007)