Volume 9 Number 2
April 2012
Article Contents
A Discretization Method for Nonlinear Delayed Non-affine Systems. International Journal of Automation and Computing, vol. 9, no. 2, pp. 177-181, 2012. doi: 10.1007/s11633-012-0631-7
Cite as: A Discretization Method for Nonlinear Delayed Non-affine Systems. International Journal of Automation and Computing, vol. 9, no. 2, pp. 177-181, 2012. doi: 10.1007/s11633-012-0631-7

A Discretization Method for Nonlinear Delayed Non-affine Systems

  • Received: 2011-01-15
Fund Project:

This work was supported by University Natural Science Research Project of Jiangsu Province (No. 10KJB510001).

  • The input time delay is always existent in the practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via digital computer. This paper proposes a new discretization method for calculating a sampled-data representation of nonlinear time-delayed non-affine systems. The proposed scheme provides a finite-dimensional representation for nonlinear systems with non-affine time-delayed input enabling existing nonlinear controller design techniques to be applied to them. The performance of the proposed discretization procedure is evaluated by using a nonlinear system with non-affine time-delayed input. For this nonlinear system, various time delay values are considered.
  • 加载中
  • [1] M. Jankovic. Control of nonlinear systems with time delay. In Proceedings of the 42nd IEEE Conference on Decision and Control, IEEE, Maui, USA, vol. 5, pp. 4545-4550, 2003.
    [2] C. J. Soo, B. Y. Su. A single DOF magnetic levitation sys-tem using time delay control and reduced-order observer. KSME International Journal, vol. 16, no. 12, pp. 1643-1651, 2002.
    [3] C. L. Liu, S. C. Tong, Y. M. Li, Y. Q. Xia. Adaptive fuzzy backstepping output feedback control of nonlinear time-delay systems with unknown high-frequency gain sign. In-ternational Journal of Automation and Computing, vol. 8, no. 1, pp. 14-22, 2011.
    [4] W. S. Chen, R. H. Li, J. Li. Observer-based adaptive it-erative learning control for nonlinear systems with time-varying delays. International Journal of Automation and Computing, vol. 7, no. 4, pp. 438-446, 2010.
    [5] J. J. Yu. Further results on delay-distribution-dependent robust stability criteria for delayed systems. International Journal of Automation and Computing, vol. 8, no. 1, pp. 23-28, 2011.
    [6] Z. Xia, J. M. Li, J. R. Li. Delay-dependent non-fragile H1 filtering for uncertain fuzzy systems based on a switch-ing fuzzy model and piecewise Lyapunov function. Interna-tional Journal of Automation and Computing, vol. 7, no. 4, pp. 428-437, 2010.
    [7] X. Sun, Q. L. Zhang, C. Y. Yang, Z. Su, Y. Y. Shao. An im-proved approach to delay-dependent robust stabilization for uncertain singular time-delay systems. International Jour-nal of Automation and Computing, vol. 7, no. 2, pp. 205-212, 2010.
    [8] S. C. Tong, N. Sheng. Adaptive fuzzy observer backstep-ping control for a class of uncertain nonlinear systems with unknown time-delay. International Journal of Automation and Computing, vol. 7, no. 2, pp. 236-246, 2010.
    [9] Y. G. Chen, W. L. Li. Improved results on robust H1 con-trol of uncertain discrete-time systems with time-varying delay. International Journal of Automation and Comput-ing, vol. 6, no. 1, pp. 103-108, 2009.
    [10] G. F. Franklin, J. D. Powell, M. L. Workman. Digital Con-trol of Dynamic Systems, New York, USA: Addison-Wesley, 1998.
    [11] N. Kazantzis, K. T. Chong, J. H. Park, A. G. Parlos. Control-relevant discretization of nonlinear systems with time-delay using Taylor-Lie series. In Proceedings of the 2003 American Control Conference, IEEE, Denver, USA, vol. 1, pp. 149-154, 2003.
    [12] W. Lin. Feedback stabilization of general nonlinear control systems: A passive system approach. Systems and Control Letters, vol. 25, no. 1, pp. 41-52, 1995.
  • 加载中
  • [1] Yuan-Liang Zhang. Discretization of Nonlinear Non-affine Time Delay Systems Based on Second-order Hold . International Journal of Automation and Computing, 2014, 11(3): 320-327.  doi: 10.1007/s11633-014-0795-4
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A Discretization Method for Nonlinear Delayed Non-affine Systems

Fund Project:

This work was supported by University Natural Science Research Project of Jiangsu Province (No. 10KJB510001).

Abstract: The input time delay is always existent in the practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via digital computer. This paper proposes a new discretization method for calculating a sampled-data representation of nonlinear time-delayed non-affine systems. The proposed scheme provides a finite-dimensional representation for nonlinear systems with non-affine time-delayed input enabling existing nonlinear controller design techniques to be applied to them. The performance of the proposed discretization procedure is evaluated by using a nonlinear system with non-affine time-delayed input. For this nonlinear system, various time delay values are considered.

A Discretization Method for Nonlinear Delayed Non-affine Systems. International Journal of Automation and Computing, vol. 9, no. 2, pp. 177-181, 2012. doi: 10.1007/s11633-012-0631-7
Citation: A Discretization Method for Nonlinear Delayed Non-affine Systems. International Journal of Automation and Computing, vol. 9, no. 2, pp. 177-181, 2012. doi: 10.1007/s11633-012-0631-7
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