Feng Wei, Li Hongge, Zhang Youguanget al. Novel chaotic frequency modulation circuit for class-D amplifier[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(5): 559-562. (in Chinese)
Citation: Gao Fei, Zhang Hongyue. Stability of time-delay fault tolerant control systems with markovian parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(05): 566-570. (in Chinese)

Stability of time-delay fault tolerant control systems with markovian parameters

  • Received Date: 31 May 2005
  • Publish Date: 31 May 2006
  • FDI (fault detection and isolation) is a crucial part in AFTCS (active fault tolerant control system), so how to model the FDI process and evaluate its influence upon the system is very important. Considering constant networked-induced time delay between sensor and controller in the transmission, two homogeneous Markov stochastic processes with different state spaces were defined: one represented system components failures and the other represented the decisions of the FDI process upon which the state feedback control law was reconfigured. Further, the stability of the control system with state feedback was discussed. A delay-independent sufficient condition based on Kronecker product approachfor checking the mean square stochastic stability of this class of systems was established. Simulation examples were given to demonstrate the theoretical results. Simulation results gave the relation of time-delay, false alarm rate and missed detection rate to guarantee the system stability.

     

  • [1] Frank P M. Fault diagnosis in dynamic system using analytical and knowledge based redundancy—a survey and some new result[J]. Automatica, 1990, 26(3):459-474 [2] Srichander R, Walker B K. Stochastic stability analysis for continuous time fault tolerant control systems[J]. International Journal of Control, 1993, 57(2):433-452 [3] Mahmoud M M, Jiang J, Zhang Y M. Stochastic stability analysis of fault tolerant control systems in the presence of noise[J]. IEEE Transactions on Automatic Control, 2001, 46(11):1810-1815 [4] Mahmoud M M, Jiang J, Zhang Y M. Stochastic stability analysis of fault tolerant control systems with multiple failure processes[J]. International Journal of Systems Science, 2002, 33(1):55-65 [5] Hu S, Zhu Q. Stochastic optimal control and analysis of stability of networked control systems with long delay[J]. Automatica, 2003, 39(2):1877-1884 [6] Benjelloun K, Boukas E K. Mean square stochastic stability of linear time-delay system with Markovian jumping parameters[J]. IEEE Transactions on Automatic Control, 1998, 43(10):1456-1460 [7] Kuo W, Zuo M J. Optimal reliability modeling, principles and applications[M]. New York:John Wiley & Sons Inc, 2002
  • Relative Articles

    [1]LI Y J,LIU Q,LI W. Impeller fault diagnosis method and application based on digital twin flow field contour of centrifugal pump[J]. Journal of Beijing University of Aeronautics and Astronautics,2025,51(1):193-201 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0997.
    [2]WANG C S,ZHANG X Y,ZHAN Z X,et al. Analysis of compression stability and load capacity of thick composite plate structures[J]. Journal of Beijing University of Aeronautics and Astronautics,2025,51(1):94-101 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0991.
    [3]MA A H,PAN S. Edge cloud service migration algorithm based on Markov decision process[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(6):1931-1939 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0499.
    [4]SUN H Y,YANG Z P,WANG Y W,et al. Compound fault diagnosis of planetary gearbox based on RSSD-CYCBD by adaptive parameter optimization[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(10):3139-3150 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0773.
    [5]MA X,XU S,SHANG P C,et al. Fault diagnosis of gearbox under open set and cross working condition based on transfer learning[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(5):1753-1760 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0719.
    [6]WANG J H,TANG G D,CAO J,et al. Fault diagnosis method of BN ball mill rolling bearing based on AESL-GA[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1138-1146 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0428.
    [7]LI R Z,JIANG B,YU Z Q,et al. Data-driven fault detection and diagnosis for UAV swarms[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(5):1586-1592 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0441.
    [8]GAN W B,ZUO Z J,XIANG J W,et al. Research progress on dynamic stability of rotating variant wing opening and closing process for aircraft[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1053-1064 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0469.
    [9]JIAO M X,LEI C L,MA S Z,et al. Fault diagnosis method of small sample rolling bearings under variable working conditions based on MTF-SPCNN[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(12):3696-3708 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0927.
    [10]CAO J,YIN H N,LEI X G,et al. Bearing fault diagnosis in variable working conditions based on domain adaptation[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(8):2382-2390 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0631.
    [11]GAO Yang, XU Guo-ning, WANG Sheng, LI Yong-xiang, CAI Rong, YANG Yan-chu. Stability analysis of stratospheric airship energy system[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2023.0020
    [12]MA D,LIU Z H,GAO Q H,et al. Solenoid directional control valve fault pattern recognition based on multi-feature fusion[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(4):913-921 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0367.
    [13]NIE X H,JIN L. Application of kernel principal component analysis in autonomous fault diagnosis for spacecraft flywheel[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(8):2119-2128 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0582.
    [14]WANG J H,GAO Y,CAO J,et al. Fault diagnosis of generator rolling bearing based on AE-BN[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(8):1896-1903 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0581.
    [15]GAO H H,CHAO Q,XU Z,et al. Piston pump fault diagnosis based on Siamese neural network with small samples[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(1):155-164 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0213.
    [16]WANG J H,ZHOU D Y,CAO J,et al. Fault diagnosis of ball mill rolling bearing based on multi-feature fusion and RF[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(12):3253-3264 (in Chinese). doi: 10.13700/j.bh.1001-5965.2022.0069.
    [17]XIAO Y,CHEN X,YANG L Y,et al. Analysis of radome error on guidance loop stability[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(11):3066-3074 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0780.
    [18]ZHU P R,LIU Y Z,LIU Z C,et al. Fault diagnosis of synchronous generator rotating rectifier based on CEEMD and improved ELM[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(5):1166-1175 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0376.
    [19]ZHAO J Y,HU J,YAO J Y,et al. EHA fault diagnosis and fault tolerant control based on adaptive neural network robust observer[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(5):1209-1221 (in Chinese). doi: 10.13700/j.bh.1001-5965.2021.0416.
    [20]LIU Jiufu, ZHANG Xinzhe, WANG Hengyu, TOMAS DIAS A.M., WANG Zhisheng, YANG Zhong. Partial observable Petri nets fault diagnosis with quantum Bayesian learning[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(7): 1125-1134. doi: 10.13700/j.bh.1001-5965.2021.0010
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(2963) PDF downloads(930) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return