Global output feedback regulation of uncertain nonlinear systems with unknown time delay

详细信息    查看全文

• 作者：Weiyong Yu (1)
  Shutang Liu (1)
  Fangfang Zhang (2)
  
  1. School of Control Science and Engineering ; Shandong University ; Jinan ; 250061 ; P. R. China
  2. School of Electrical Engineering and Automation ; Qilu University of Technology ; Jinan ; 250353 ; P. R. China
  
• 关键词：Adaptive control ; output feedback ; time ; delay systems ; uncertain nonlinear systems
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：13
• 期：2
• 页码：327-335
• 全文大小：1,512 KB
• 参考文献：1. Marino, R., Tomei, P. (1995) Nonlinear Control Design. Prentice Hall International, UK
  2. Krstic, M., Kanellakopoulos, I., Kokotovic, P. V. (1995) Nonlinear and Adaptive Control Design. Wiley, New York
  3. Khalil, H. K. (2002) Nonlinear Systems. Prentice Hall, New Jersey
  4. Praly, L. (2003) Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate. IEEE Trans. on Automatic Control 48: pp. 1103-1108 CrossRef
  5. Qian, C. J., Lin, W. (2002) Output feedback control of a class of nonlinear systems: a non-separation principle paradigm. IEEE Trans. on Automatic Control 47: pp. 1710-1715 CrossRef
  6. Krishnamurthy, P., Khorrami, F., Chandra, R. S. (2003) Global high gain-based observer and backstepping controller for generalized output-feedback canonical form. IEEE Trans. on Automatic Control 48: pp. 2277-2284 CrossRef
  7. Krishnamurthy, P., Khorrami, F. (2004) Dynamic highgain scaling: state and output feedback with application to systems with ISS appended dynamics driven by all states. IEEE Trans. on Automatic Control 49: pp. 2219-2239 CrossRef
  8. Lei, H., Lin, W. (2006) Universal output feedback control of nonlinear systems with unknown growth rate. Automatica 42: pp. 1783-1789 CrossRef
  9. Lei, H., Lin, W. (2007) Adaptive regulation of uncertain nonlinear systems by output feedback: A universal control approach. Systems and Control Letters 56: pp. 529-537 CrossRef
  10. Krishnamurthy, P., Khorrami, F. (2008) Dual highgain-based adaptive output-feedback control for a class of nonlinear systems. International Journal of Adaptive Control and Signal Processing 22: pp. 23-42 CrossRef
  11. Shang, F., Liu, Y. G., Zhang, C. H. (2011) Adaptive output feedback stabilization for a class of nonlinear systems with inherent nonlinearities and uncertainties. International Journal of Robust and Nonlinear Control 21: pp. 157-176 CrossRef
  12. Mazenc, F., Bowong, S. (2003) Tracking trajectories of the cart-pendulum system. Automatica 39: pp. 677-684 CrossRef
  13. Sepulchre, R., Jankovie, M., Kokotovic, P. V. (1997) Constructive Nonlinear Control. Springer-Verlag, London
  14. Teel, A. R. (1996) A nonlinear small gain theorem for the analysis of control systems with saturation. IEEE Trans. on Automatic Control 41: pp. 1256-1270 CrossRef
  15. Krishnamurthy, P., Khorrami, F. (2004) A high-gain scaling technique for adaptive output feedback control of feedforward systems. IEEE Trans. on Automatic Control 49: pp. 2286-2292 CrossRef
  16. Krishnamurthy, P., Khorrami, F. (2008) Feedforward systems with ISS appended dynamics: adaptive output-feedback stabilization and disturbance attenuation. IEEE Trans. on Automatic Control 53: pp. 405-412 CrossRef
  17. Choi, H.-L., Lim, J.-T. (2010) Stabilisation of nonlinear systems with unknown growth rate by adaptive output feedback. International Journal of Systems Science 41: pp. 673-678 CrossRef
  18. Zhang, X., Lin, Y. (2012) Global adaptive stabilisation of feedforward systems by smooth output feedback. IET Control Theory and Applications 6: pp. 2134-2141 CrossRef
  19. Hale, J. K., Lunel, S. M. V. (1993) Introduction to Functional Differential Equations. Springer-Verlag, New York
  20. Jankovic, M. (2001) Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems. IEEE Trans. on Automatic Control 46: pp. 1048-1060 CrossRef
  21. Jiao, X., Shen, T. L. (2005) Adaptive feedback control of nonlinear time-delay systems: the Lasalle- Razumikhin based Approach. IEEE Trans. on Automatic Control 50: pp. 1909-1913 CrossRef
  22. Zhang, X. F., Cheng, Z. L. (2005) Global stabilization of a class of time-delay nonlinear systems. International Journal of Systems Science 36: pp. 461-468 CrossRef
  23. Guan, W. (2012) Adaptive output feedback control of a class of uncertain nonlinear systems with unknown time delay. International Journal of Systems Science 43: pp. 682-690 CrossRef
  24. Krishnamurthy, P., Khorrami, F. (2009) Outputfeedback control of feedforward nonlinear delayed systems through dynamic high-gain scaling. Proc. of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference. pp. 7-12
  25. Zhang, X. F., Baron, L., Liu, Q. G., Boukas, E.-K. (2011) Design of stabilizing controllers with a dynamic gain for feedforward nonlinear time-delay systems. IEEE Trans. on Automatic Control 56: pp. 692-697 CrossRef
  26. Khalil, H. K., Saberi, A. (1987) Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Trans. on Automatic Control 32: pp. 1031-1035 CrossRef
  27. Praly, L., Jiang, Z. P. (2004) Linear output feedback with dynamic high gain for nonlinear systems. Systems and Control Letters 53: pp. 107-116 CrossRef
  28. Zhang, X. F., Gao, H. Y., Zhang, C. H. (2006) Global asymptotic stabilization of feedforward nonlinear systems with a delay in the input. International Journal of Systems Science 37: pp. 141-148 CrossRef
  29. Koo, M.-S., Choi, H.-L., Lim, J.-T. (2012) Output feedback regulation of a chain of integrators with an unbounded time-varying delay in the input. IEEE Trans. on Automatic Control 57: pp. 2662-2667 CrossRef
  30. Jo, H.-W., Choi, H.-L., Lim, J.-T. (2013) Measurement feedback control for a class of feedforward nonlinear systems. International Journal of Robust and Nonlinear Control 23: pp. 1405-1418 CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

This paper investigates the problem of global output feedback regulation for a class of nonlinear systems with unknown time delay. It is also allowed to contain uncertain functions of all the states and input as long as the uncertainties satisfying certain bounded condition for the considered systems. In this paper, a constructive control technique has been proposed for controlling the systems. By using dynamic high-gain scaling approach and choosing an appropriate Lyapunov-Krasovskii functional, a delay-independent robust adaptive output feedback controller is constructed such that the states of the considered systems achieve global regulation. Two simulation examples are provided to demonstrate the effectiveness of the proposed design scheme.