Chang-Chun Hua, Shao-Chong Yu and Xin-Ping Guan. Finite-time Control for a Class of Networked Control Systems with Short Time-varying Delays and Sampling Jitter. International Journal of Automation and Computing, vol. 12, no. 4, pp. 448-454, 2015. https://doi.org/10.1007/s11633-014-0849-7
Citation: Chang-Chun Hua, Shao-Chong Yu and Xin-Ping Guan. Finite-time Control for a Class of Networked Control Systems with Short Time-varying Delays and Sampling Jitter. International Journal of Automation and Computing, vol. 12, no. 4, pp. 448-454, 2015. https://doi.org/10.1007/s11633-014-0849-7

Finite-time Control for a Class of Networked Control Systems with Short Time-varying Delays and Sampling Jitter

doi: 10.1007/s11633-014-0849-7
Funds:

This paper was supported by National Natural Science Foundation of China (Nos. 61290322, 61273222, 61322303 and 61473248), Doctoral Fund of Ministry of Education of China (No. 20121333110008), Hebei Province Hundred Excellent Innovation Talents Support Program, and Hebei Province Applied Basis Research Project (No. 13961806D).

  • Received Date: 2013-01-03
  • Rev Recd Date: 2013-11-04
  • Publish Date: 2015-08-01
  • This paper is concerned with the finite-time control problem for a class of networked control systems (NCSs) with short time-varying delays and sampling jitter. Considering a state feedback controller, the closed-loop NCS is described as a discrete-time linear system model, and the uncertain parts reflect the effect of the the network-induced delays and short sampling jitter of the system dynamics. Then a robust approach is proposed to solve the finite-time stability and stabilization problems for the considered NCS. An illustrative example is provided to demonstrate the effectiveness of the proposed theoretical results.

     

  • loading
  • [1]
    L. Hetel, J. Daafouz, C. Lung. Analysis and control of LTI and switched systems in digital loops via an event-based modelling. International Journal of Control, vol. 81, no. 7, pp. 1125-1138, 2008.
    [2]
    P. Seiler, R. Sengupta. An H approach to networked control. IEEE Transactions on Automatic Control, vol. 50, no. 3, pp. 356-364, 2005.
    [3]
    M. B. G. Cloosterman, N. V. De Wouw, W. P. M. H. Heemels, H. Nijmeijer. Stability of networked control systems with uncertain time-varying delays. IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1575-1580, 2009.
    [4]
    W. A. Zhang, L. Yu. A robust control approach to stabilization of networked control systems with time-varying delays. Automatica, vol. 45, no. 10, pp. 2440-2445, 2009.
    [5]
    W. A. Zhang, L. Yu. A robust control approach to stabilization of networked control systems with short time-varying delays. Acta Automatica Sinica, vol. 36, no. 1, pp. 87-91, 2010.
    [6]
    W. A. Zhang, L. Yu. BIBO stability and stabilization of networked control systems with short time-varying delays. International Journal of Robust and Nonlinear Control, vol. 21, no. 3, pp. 295-308, 2011.
    [7]
    C. C. Hua, Y. Zheng, X. P. Guan. Modeling and control for wireless networked control system. International Journal of Automation and Computing, vol. 8, no. 3, pp. 357-363, 2011.
    [8]
    H. Fujioka. A discrete-time approach to stability analysis of systems with aperiodic sample-and-hold devices. IEEE Transactions on Automatic Control, vol. 54, no. 10, pp. 2440-2445, 2009.
    [9]
    Y. Oishi, H. Fujioka. Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities. Automatica, vol. 46, no. 8, pp. 1327-1333, 2010.
    [10]
    P. Dorato. Short time stability in linear tine-varying systems. In Proceedings of the IRE International Convention Record Part 4, New York, USA, pp. 83-87, 1961.
    [11]
    L. Weiss, E. Infante. Finite time stability under perturbing forces and on product spaces. IEEE Transactions on Automatic Control, vol. 12, no. 1, pp. 54-59, 1967.
    [12]
    F. Amato, M. Ariola, P. Dorato. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, vol. 37, no. 9, pp. 1459-1463, 2001.
    [13]
    F. Amato, M. Ariola, C. Cosentino. Finite-time control of discrete-time linear systems: Analysis and design conditions. Automatica, vol. 46, no. 5, pp. 919-1924, 2010.
    [14]
    F. Amato, M. Ariola. Finite-time control of discrete-time linear systems. IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 724-729, 2005.
    [15]
    J. E. Feng, Z. Wu, J. B. Sun. Finite-time control of linear singular systems with parametric uncertainties and disturbances. Acta Automatica Sinica, vol. 31, no. 4, pp. 634-637, 2005. (in Chinese)
    [16]
    L. Liu, J. Sun. Finite-time stabilization of linear systems via impulsive control. International Journal of Control, vol. 81, no. 6, pp. 905-909, 2008.
    [17]
    S. W. Zhao, J. T. Sun, L. Liu. Finite-time stability of linear time-varying singular systems with impulsive effects. International Journal of Control, vol. 81, no. 11, pp. 1824-1829, 2008.
    [18]
    H. B. Du, X. Z. Lin, S. H. Li. Finite-time stability and stabilization of switched linear systems. In Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, IEEE, Shanghai, China, pp. 1938-1943, 2009.
    [19]
    H. Y. Song, L. Yu, W. A. Zhang. Finite-time H control for a class of discrete-time switched time-delay systems with quantized feedback. Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 12, pp. 4802-4814, 2012.
    [20]
    Y. G. Sun, J. Xu. Finite-time boundedness and stabilization of networked control systems with time delay. Mathematical Problems in Engineering, vol. 2012, Article 705828, 2012.
  • 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 (5579) PDF downloads(1256) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return