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Sensor fault reconstruction for a class of 2-D nonlinear systems with application to fault compensation
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  • 作者:Dong Zhao ; Donghua Zhou ; Youqing Wang
  • 关键词:Sensor fault reconstruction ; Observer ; 2 ; D nonlinear system ; Fault compensation
  • 刊名:Multidimensional Systems and Signal Processing
  • 出版年:2015
  • 出版时间:October 2015
  • 年:2015
  • 卷:26
  • 期:4
  • 页码:1061-1080
  • 全文大小:1,431 KB
  • 参考文献:Bisiacco, M. (1985). On the state reconstruction of 2D systems. Systems & Control Letters, 5(5), 347-53.MATH MathSciNet CrossRef
    Bisiacco, M., & Valcher, M. E. (2004). Unknown input observers for 2D state-space models. International Journal of Control, 77(9), 861-76.MATH MathSciNet CrossRef
    Bisiacco, M., & Valcher, M. E. (2006). The general fault detection and isolation problem for 2D state-space models. Systems & Control Letters, 55(11), 894-99.MATH MathSciNet CrossRef
    Boyd, S. P., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory (Vol. 15). Philadelphia: SIAM.MATH CrossRef
    Chen, X., Lam, J., Gao, H., & Zhou, S. (2013). Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions. Multidimensional Systems and Signal Processing, 24(3), 395-15.MATH MathSciNet CrossRef
    Du, C., & Xie, L. (1999). Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 46(11), 1371-374.MATH CrossRef
    Dumitrescu, B. (2008). LMI stability tests for the Fornasini–Marchesini model. IEEE Transactions on Signal Processing, 56(8), 4091-095.MathSciNet CrossRef
    Fornasini, E., & Marchesini, G. (1976). State-space realization theory of two-dimensional filters. IEEE Transactions on Automatic Control, 21(4), 484-92.MATH MathSciNet CrossRef
    Fornasini, E., & Marchesini, G. (1978). Doubly-indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory, 12(1), 59-2.MATH MathSciNet CrossRef
    Gao, Z., & Ding, S. (2007). Sensor fault reconstruction and sensor compensation for a class of nonlinear state-space systems via a descriptor system approach. IET Control Theory & Applications, 1(3), 578-85.MathSciNet CrossRef
    Hinamoto, T. (1993). 2-D Lyapunov equation and filter design based on the Fornasini–Marchesini second model. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(2), 102-10.MATH CrossRef
    Hinamoto, T. (1997). Stability of 2-D discrete systems described by the Fornasini–Marchesini second model. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 44(3), 254-57.MathSciNet CrossRef
    Kaczorek, T. (1985). Two-dimensional linear systems. Berlin: Springer.MATH
    Khalil, H. K., & Grizzle, J. (2002). Nonlinear systems (Vol. 3). New Jersey: Prentice hall Upper Saddle River.MATH
    Kurek, J. (2014). Stability of nonlinear time-varying digital 2-D Fornasini–Marchesini system. Multidimensional Systems and Signal Processing, 25(1), 235-44.MATH MathSciNet CrossRef
    Li, L., Xu, L., & Lin, Z. (2013). Stability and stabilisation of linear multidimensional discrete systems in the frequency domain. International Journal of Control, 86(11), 1969-989.MathSciNet CrossRef
    Li, H., & Shi, Y. (2014). Network-based predictive control for constrained nonlinear systems with two-channel packet dropouts. IEEE Transactions on Industrial Electronics, 61(3), 1574-582.CrossRef
    Li, X., Ho, J. L., & Liu, M. (2014). Robust iterative learning control with rectifying action for nonlinear discrete time-delayed systems. Multidimensional Systems and Signal Processing, 25(4), 723-39.CrossRef
    Liang, J., Wang, Z., Liu, X., & Louvieris, P. (2012). Robust synchronization for 2-D discrete-time coupled dynamical networks. IEEE Transactions on Neural Networks and Learning Systems, 23(6), 942-53.CrossRef
    Liang, J., Wang, Z., & Liu, X. (2014). Robust state estimation for two-dimensional stochastic time-delay systems with missing measurements and sensor saturation. Multidimensional Systems and Signal Processing, 25(1), 157-77.MATH MathSciNet CrossRef
    Liang, J., Wang, Z., Liu, Y., & Liu, X. (2014). State estimation for two-dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays. International Journal of Robust and Nonlinear Control, 24(1), 18-8.MATH MathSciNet CrossRef
    Liu, D. (1998). Lyapunov stability of two-dimensional digital filters with overflow nonlinearities. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 45(5), 574-77.MATH MathSciNet CrossRef
    Liu, Q., Wang, Z., He, X., & Zhou, D. (2014). A survey of event-based strategies on control and estimation. Systems Science & Control Engineering: An Open Access Journal, 2(1), 90-7.CrossRef
    Marszalek, W. (1984). Two-dimensional state-space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling, 8(1), 11-4.MATH MathSciNet CrossRef
    Ooba, T. (2000). On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(8), 1263-265.MathSciNet CrossRef
    Qin, L., He, X., & Zhou, D. (2014). A survey of fault diagn
  • 作者单位:Dong Zhao (1)
    Donghua Zhou (2)
    Youqing Wang (1)

    1. College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, 100029, People’s Republic of China
    2. Department of Automation, Tsinghua University, Beijing, 100084, People’s Republic of China
  • 刊物类别:Engineering
  • 刊物主题:Circuits and Systems
    Electronic and Computer Engineering
    Signal,Image and Speech Processing
    Artificial Intelligence and Robotics
  • 出版者:Springer Netherlands
  • ISSN:1573-0824
文摘
This paper considers the problem of sensor fault reconstruction and compensation for a class of two dimensional (2-D) nonlinear systems. The 2-D nonlinear system is described by the Fornasini–Marchesini local state-space second model with Lipschitz nonlinearity. The sensor fault considered in this study could be of arbitrary form and its size can be even unbounded. An integrated fault/state observer is proposed to obtain the asymptotic estimation of sensor faults and system states at the same time. A sufficient condition for the existence of the integrated observer is given in terms of linear matrix inequalities. \(H_\infty \) sensor fault estimation/reconstruction is also considered for the 2-D nonlinear system when there are both sensor faults and input disturbances. Based on the estimation of sensor faults, a sensor compensation scheme can be performed by subtracting the fault term from the measurement output, and the existing output feedback controller can run normally without the switchover of sensors or reconfiguration when sensor faults occur. An example is provided to illustrate the effectiveness of the proposed method for both sensor fault reconstruction and compensation. Keywords Sensor fault reconstruction Observer 2-D nonlinear system Fault compensation

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