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Volume 11 Issue 6
December  2014
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Bin Wang, Jun-Yong Zhai and Shu-Min Fei. Output Feedback Tracking Control for a Class of Switched Nonlinear Systems with Time-varying Delay. International Journal of Automation and Computing, vol. 11, no. 6, pp. 605-612, 2014. https://doi.org/10.1007/s11633-014-0848-8
Citation: Bin Wang, Jun-Yong Zhai and Shu-Min Fei. Output Feedback Tracking Control for a Class of Switched Nonlinear Systems with Time-varying Delay. International Journal of Automation and Computing, vol. 11, no. 6, pp. 605-612, 2014. https://doi.org/10.1007/s11633-014-0848-8
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Output Feedback Tracking Control for a Class of Switched Nonlinear Systems with Time-varying Delay

doi: 10.1007/s11633-014-0848-8

  • Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China

Funds:

This work was supported by National Natural Science Foundation of China (Nos. 61473082, 61273119, and 61104068), Six Talents Peaks Program of Jiangsu Province (No. 2014-DZXX-003) and the Fundamental Research Funds for the Central Universities (No. 2242013R30006).

  • Received Date: 2013-09-12
  • Rev Recd Date: 2013-12-30
  • Publish Date: 2014-12-20
    Abstract
  • This paper studies the problem of tracking control for a class of switched nonlinear systems with time-varying delay. Based on the average dwell-time and piecewise Lyapunov functional methods, a new exponential stability criterion is obtained for the switched nonlinear systems. The designed output feedback H∞ controller can be obtained by solving a set of linear matrix inequalities (LMIs). Moreover, the proposed method does not need that a common Lyapunov function exists for the switched systems, and the switching signal just depends on time. A simulation example is provided to demonstrate the effectiveness of the proposed design scheme.

     

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  • [1]
    J. P. Hespanha, A. S. Morse. Stability of switched systems with average dwell-time. In Proceedings of the 38th Conference on Decision & Control, IEEE, Phoenix, Arizona, USA, pp. 2655-2660, 1999.
    [2]
    G. S. Zhai, B. Hu, K. Yasuda, A. N. Michel. Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. In Proceedings of the American Control Conference, IEEE, Chicago, USA, pp. 200-204, 2000.
    [3]
    H. Lin, P. J. Antsaklis. Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 308-322, 2009.
    [4]
    W. M. Xiang, J. Xiao, M. N. Iqbal. Robust observer design for nonlinear uncertain switched systems under asynchronous switching. Nonlinear Analysis: Hybrid Systems, vol. 6, no. 1, pp. 754-773, 2012.
    [5]
    D.W. Ding, G. H. Yang. H∞ static output feedback control for discrete-time switched linear systems with average dwell time. IET Control Theory and Applications, vol. 4, no. 3, pp. 381-390, 2010.
    [6]
    J. Y. Zhai, W. T. Zha. Global adaptive output feedback control for a class of nonlinear time-delay systems. ISA Transactions, vol. 53, no. 1, pp. 2-9, 2014.
    [7]
    W. T. Zha, J. Y. Zhai, S. M. Fei. Output feedback control for a class of stochastic high-order nonlinear systems with time-varying delays. International Journal of Robust and Nonlinear Control, vol. 24, no. 16, pp. 2243-2260, 2014.
    [8]
    T. Wang, M. X. Xue, C. Zhang, S. M. Fei. Improved stability criteria on discrete-time systems with time-varying and distributed delays. International Journal of Automation and Computing, vol. 10, no. 3, pp. 260-266, 2013.
    [9]
    Y. Y. Cao, Y. X. Sun, C. W. Cheng. Delay-dependent robust stabilization of uncertian systems with multiple state delays. IEEE Transactions on Automatic Control, vol. 43, no. 11, pp. 1608-1612, 1998.
    [10]
    X. M. Sun, J. Zhao, D. J. Hill. Stability and L2-gain analysis for switched delay systems: A delay-dependent method. Automatica, vol. 42, no. 10, pp. 1769-1774, 2006.
    [11]
    J. Liu, X. Z. Liu, W. C. Xie. Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Analysis: Hybrid Systems, vol. 2, no. 1, pp. 81-95, 2008.
    [12]
    L. V. Hien, Q. P. Ha, V. N. Phat. Stability and stabilization of switched linear dynamic systems with time delay and uncertainties. Applied Mathematics and Computation, vol. 201, no. 1, pp. 223-231, 2009.
    [13]
    X. M. Sun, W. Wang, G. P. Liu, J. Zhao. Stability analysis for linear switched systems with time-varying delay. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 38, no. 2, pp. 528-533, 2008.
    [14]
    H. L. Xu, X. Z. Liu, K. L. Teo. A LMI approach to stability analysis and synthesis of impulsive switched systems with time delays. Nonlinear Analysis: Hybrid Systems, vol.2, no. 1, pp. 38-50, 2008.
    [15]
    Y. G. Sun, L. Wang, G. M. Xie. Delay-dependent robust stability and stabilization for discrete-time switched systems with mode-dependent time-varying delays. Applied Mathematics and Computation, vol. 180, no. 2, pp. 428-435, 2006.
    [16]
    X. H. Liu. Stabilization of switched linear systems with mode-dependent time-varying delays. Applied Mathematics and Computation, vol. 216, no. 9, pp. 2581-2586, 2010.
    [17]
    S. Cong, S. M. Fei, T. Li. Exponential stability of switched systems with delay: A multiple Lyapunov function approach. Acta Automatica Sinica, vol. 33, no. 9, pp. 985-988, 2007. (in Chinese)
    [18]
    S. L. Liu, Z. R. Xiang, Q. W. Chen. Stability and stabilization of a class of switched nonlinear systems with time-varying delay. Applied Mathematics and Computation, vol. 218, no. 23, pp. 11534-11546, 2012.
    [19]
    Q. K. Li, J. Zhao, G. M. Dimirovski, X. J. Liu. Tracking control for switched linear systems with time-delay: A state-dependent switching method. Asian Journal of Control, vol. 11, no. 5, pp. 517-526, 2009.
    [20]
    Q. K. Li, J. Zhao, G. M. Dimirovski. Robust tracking control for switched linear systems with time-varying delays. IET Control Theory and Applications, vol. 2, no. 6, pp. 449-457, 2008.
    [21]
    Q. K. Li, J. Zhao, X. J. Liu, G. M. Dimirovski. Observerbased tracking control for switched linear systems with time-varying delay. International Journal of Robust and Nonlinear Control, vol. 21, no. 3, pp. 309-327, 2011.
    [22]
    Z. R. Xiang, S. L. Liu, Q. W. Chen. Tracking control for a class of switched non-linear systems with time-varying delay. Transactions of the Institute of Measurement and Control, vol. 35, no. 3, pp. 398-406, 2013.
    [23]
    J. Lian, Y. L. Ge. Robust H∞ output tracking control for switched systems under asynchronous switching. Nonlinear Analysis: Hybrid Systems, vol. 8, pp. 57-68, 2013.
    [24]
    S. L. Liu, Z. R. Xiang. Exponential L1 output tracking control for positive switched linear systems with time-varying delays. Nonlinear Analysis: Hybrid Systems, vol. 11, no. 1, pp. 118-128, 2014.
    [25]
    S. R. Liu, Z. R. Xiang. Exponential H∞ output tracking control for switched neutral system with time-varying delay and nonlinear perturbations. Circuits, Systems, and Signal Processing, vol. 32, no. 1, pp. 103-121, 2013.
    [26]
    M. Rehan, K. S. Hong, S. S. Ge. Stabilization and tracking control for a class of nonlinear systems. Nonlinear Analysis: Real World Applications, vol. 12, no. 3, pp. 1786-1796, 2011.
    [27]
    J. K. Hale. Theory of Functional Differential Equations, Berlin, Germany: Springer Press, pp. 141-164, 1977.
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