JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (5): 96-102.doi: 10.6040/j.issn.1672-3961.0.2017.169

Previous Articles     Next Articles

Fault detection for multi-agent systems based on intermediate observer

WU Yanming1, WANG Ruiyun2, WANG Zhanshan1*   

  1. 1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, Liaoning, China;
    2. China Railway Fifth Survey and Design Institute Group Co., LTD., Beijing 102600, China
  • Received:2017-04-18 Online:2017-10-20 Published:2017-04-18

Abstract: The actuator fault detection was studied with fault detection for a class of linear multi-agent systems under indirect communication network topology. A set of virtual systems were designed, and an actuator fault detection algorithm was proposed based on intermediate observer, which overcame the restriction of observer matching condition. The intermediate variable matrix was used appropriately to simultaneously estimate the states and faults. The states residual signal between adjacent agents was used to detect not only its own faults but also the faults of its nearest neighbors. Based on the Lyapunov stability theory, it was proved that the estimation errors were uniformly ultimately bounded. Simulation results showed the effectiveness of the designed method.

Key words: intermediate variable matrix, linear matrix inequality, multi-agent systems, intermediate observer, fault estimation

CLC Number: 

  • TP206
[1] LIANG Hongjing, ZHANG Huaguang, WANG Zhanshan. Output regulation of state-coupled linear multi-agent systems with globally reachable topologies[J]. Neurcomputing, 2014, 123:337-343.
[2] ZHANG Ke, LIU Guosheng, JIANG Bin. Robust unknown input observer-based fault estimation of leader-follower linear multi-agent systems [J]. Circuit System Signal Process, 2017, 36(2):525-542.
[3] 王巍,王丹,彭周华. 不确定非线性多智能体系统的分布式容错协同控制[J]. 控制与决策, 2015,30(7):1303-1308. WANG Wei, WANG Dan, PENG Zhouhua. Fault tolerant control for synchronization of uncertain nonlinear multi-agent systems[J]. Control and Decision, 2015, 30(7):1303-1308.
[4] MESKIN N, KHORASANI K. Fault detection and isolation of discrete-time Markovian jump linear systems with application to a network of multi-agent systems having imperfect communication channels[J]. Automatica, 2009, 45(9):2032-2040.
[5] MESKIN N, KHORASANI K. Actuator fault detection and isolation for a network of unmanned vehicles[J]. IEEE Transactions on Automatic Control, 2009, 54(4):835-840.
[6] TEIXEIRA A, SHAMES I, SANDBERG H, et al. Distributed fault detection and isolation resilient to network model uncertainties[J]. IEEE Transactions on Cybernetics, 2014, 44(11):2024-2037.
[7] ZHANG Xiaodong, ZHANG Qi. Distributed fault diagnosis in a class of interconnected nonlinear uncertain systems[J]. International Journal of Control, 2012, 85(11):1644-1662.
[8] MESKIN N, KHORASANI K, RABBATH C. Hybrid fault detection and isolation strategy for non-linear systems in the presence of large environmental disturbances[J]. IET Control Theory & Applications, 2010, 4(12):2879-2895.
[9] 陈刚,林青. 基于观测器的多智能体系统一致性控制与故障检测[J]. 控制理论与应用, 2014,31(2):584-590. CHEN Gang, LIN Qing. Observer based consensus control and fault detection for multi-agent[J]. Control Theory &Applications, 2014, 31(2):584-590.
[10] CHEN Weitian, SAIF M. Unknown input observer design for a class of nonlinear: an LMI approach[C] //Proceedings of the 2006 American Control Conference. Minneapolis: IEEE, 2006:834-838.
[11] LIU Xiuhua, GAO Xianwen, HAN Jian. Robust unknown input observer based fault detection for high-order multi-agent systems with disturbances[J]. ISA Transactions, 2016, 61:15-28.
[12] KALSI K, LIAN Jianming, HUI S, et al. Sliding-mode observers for systems with unknown inputs: A high-gain approach [J]. Automatica, 2010, 46(2): 347-353.
[13] MENON P, EDWARDS C. Robust fault estimation using relative information in linear multi-agent networks[J]. Transactions on Automatic Control, 2014, 59(2): 477-482.
[14] ZHANG Ke, JIANG Bin, COCQUEMPOT V. Adaptive technique-based distributed fault estimation observer design for multi-agent systems with directed graphs[J]. IET Control Theory & Applications, 2015, 9(18):2619-2625.
[15] ZHANG Ke, JIANG Bin, SHI Peng. Adjustable parameter based distributed fault estimation observer design for multiagent systems with directed graphs[J]. IEEE Transactions on Cybernetics, 2017, 47(2):306-314.
[16] GARCIA G, BERNUSSOU J. Pole assignment for uncertain systems in a specified disk by state feedback[J]. Transactions on Automatic Control, 1995, 40(1):184-190.
[17] CHENG C, LIU I. Design of MIMO integeral variable structure controllers[J]. Journal of the Franklin Institute, 1999, 336(7):1119-1134.
[18] ZHANG Ke, JIANG Bin, COCQUEMPOT V. Adaptive observer based fast fault estimation[J]. International Journal of Control Automation and Systems, 2008, 6(3):320-326.
[19] GAO Zhiwei, LIU Xiaoxu, CHEN M Z Q. Unknown input observer based roubust fault estimation for systems corrupted by paritially decoupled disturbances[J]. IEEE Transactions on Industrial Electronics, 2016, 63(4):2537-2547.
[20] DAS R, SEN S, DASGUPTA S. Robust and fault tolerant controller for attitude control of a satellite launch vehicle[J]. IET Control Theory and Applications, 2007, 1(1):304-312.
[21] ZHU Junwei, YANG Guanghong, WANG Hong, et al. Fault estimation for a class of nonlinear systems based on intermediate estimator[J]. Transactions on Automatic Control, 2016, 61(9):2518-2523.
[1] LI Hongyang, HE Xiao. A fault detection and estimation scheme for nonlinear stochastic systems based on SCKF [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 130-135.
[2] HUANG Jie, HE Xiao. Fault estimation for discrete-time systems with output dead-zone using two-stage Tobit kalman filter [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 136-142.
[3] ZHAO Ye, HE Xiao, ZHOU Donghua. On least squares fault estimation with incorrect measurement noise statistics [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 254-262.
[4] CUI Yang, ZHANG Ke, JIANG Bin. Fault estimation design for linear multi-agent systems with switching topologies [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 263-270.
[5] ZHOU Shaowei. The finite-time stability of stochastic Markov jumping systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(2): 78-84.
[6] ZHOU Li-na1, LIU Xiao-hua2. Robust memory state feedback non-fragile H∞ control of an uncertain neutral stochastic time-delay systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(3): 49-56.
[7] HE Rong-fu1, XIAO Min-qing2*. Robust L2-L∞ control of  δ  operator formulated time-delay systems with disc regional pole constraint [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(1): 69-79.
[8] YU Zhen-mei1, YANG Rong-rong2, QI Feng-mei3, ZHANG Hui3, LIU Feng-ming4. A load balance model for Web services based on  immune stability maintenance [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2012, 42(3): 39-44.
[9] YUAN Shuai1, LIU Xinzhi1, 2*. Fault estimator design for switched systems-application
to the three-tank system
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(3): 52-58.
[10] LIU Guo-cai, LIU Yu-chang, JU Pei-jun. A new delay-dependent global asymptotic stability forneural networks with time-varying delays [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(4): 53-56.
[11] JIAO Jianmin 1, SUN Xiaojun 1, WU Baowei 2. Guaranteed cost control for uncertain singular timedelay systems
with nonlinear perturbation
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 64-69.
[12] G. Feng and M. Chen. H∞infinity discrete time fuzzy controller design based on bilinear matrix inequality
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 37-51.
[13] LIU Dian-rui,ZHAO Hui-hong,ZHONG Mai-ying . The H∞ fault estimation for linear discrete time-varying systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 11-16 .
[14] WANG Yan-qing,QIAN Cheng-shan,JIANG Chang-sheng . A delay-dependent robust stability criterion for uncertainneutral systems with time-varying delay [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(1): 116-120 .
[15] LIU Shuai,ZHONG Mai-ying . The H fault estimation for linear discrete timevarying systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(3): 36-40 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!