Output-Feedback Model Reference Adaptive Control for Continuous State Delay Systems

[+] Author and Article Information
Boris M. Mirkin, Per-Olof Gutman

Faculty of Civil and Environmental Engineering, The Lowdermilk Division of Agricultural Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

J. Dyn. Sys., Meas., Control 125(2), 257-261 (Jun 04, 2003) (5 pages) doi:10.1115/1.1570856 History: Received May 01, 2002; Revised January 01, 2003; Online June 04, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Dugart, L., and Verriest, E. I., 1997, Stability and Control of Time-Delay Systems, Springer-Verlag, New York.
Hale, J. K., and Lunel, S. M. V., 1993, Introduction to Functional Differential Equations, Springer-Verlag, New York.
Kolmanovskii, V. B., Niculescu, S. I., and Gu, K., 1999, “Delay Effects on Stability: A Survey,” Proc. of 38th IEEE Conf. on Decision and Control, Phoenix, AZ, pp. 1993–1998.
Malek-Zavarei, M., and Jamshidi, M., 1996, Time Delay Systems, North Holland, Amsterdam.
Ortega,  R., and Lozano,  R., 1988, “Globally Stable Adaptive Controller for Systems With Delay,” Int. J. Control, 47(1), pp. 17–23.
Ichikawa,  K., 1986, “Adaptive Control of Delay System,” Int. J. Control, 41, pp. 1653–1659.
Niculescu, S. I., and Annaswamy, A. M., 2000, “A Simple Adaptive Controller for Positive-Real Systems With Time-Delay,” Proc. American Control Conf. Chicago, IL, pp. 3666–3670.
Mirkin,  E. L., 2000, “Model Prediction Based Adaptive Control for SISO Plant With Input Delay,” (in Russian) Vestn. Int. Univ. Kyrg., 9 (1), pp. 1–13.
Mahmoud,  M. S., 1996, “Adaptive Control of a Class of Time-Delay Systems With Uncertain Parameters,” Int. J. Control, 63(5), pp. 937–950.
Foda,  S. G., and Mahmoud,  M. S., 1998, “Adaptive Stabilization of Delay Differential Systems With Unknown Uncertain Bounds,” Int. J. Control, 71(2), pp. 259–275.
Oucheriah,  S., 2001, “Adaptive Robust Control of Class of Dynamic Delay Systems With Unknown Uncertainty Bounds,” Int. J. Adapt. Control Signal Process., 15, pp. 53–63.
Ryan,  E. P., and Sangwin,  C. J., 2001, “Controlled Functional Differential Equations and Adaptive Stabilization,” Int. J. Control, 74(1), pp. 77–90.
Ryan,  E. P., and Sangwin,  C. J., 2002, “Controlled Functional Differential Equations and Adaptive Tracking,” Syst. Control Lett., 47(5), pp. 365–374.
Blanchini,  F., and Ryan,  E. P., 1999, “A Razumikhin-Type Lemma for Functional Differential Equations With Application to Adaptive Control,” Automatica, 35, pp. 809–818.
Tsykunov, A. M., 1984, Adaptive Control of the Delayed Plants (in Russian), Nauka, Moscow.
Mirkin,  B. M., 2001, “Combined Direct and Indirect Adaptive Control for Plants With State Time Delay,” (in Russian) Vestn. Int. Univ. Kyrg., 13 (1), pp. 45–48.
Åström, K. J., and Wittenmark, B., 1995, Adaptive Control, Addison-Wesley, New York.
Ioannou, P. A., and Sun, J., 1996, Robust Adaptive Control, Prentice-Hall, New Jersey.
Logemann,  H., and Townley,  S., 1997, “Adaptive Integral Control of Time-Delay Systems,” IEE Proc.: Control Theory Appl., 144(6), pp. 531–536.
Narendra, K. S., and Annaswamy, A. M., 1989, Stable Adaptive Systems, Prentice-Hall, New York.
Gavel,  D. T., and Šiljak,  D. D., 1989, “Decentralized Adaptive Control: Structural Conditions for Stability,” IEEE Trans. Autom. Control, 34(4), pp. 413–426.
Ikeda, K., Shin, S., and Kitamori, T., 1993, “Fault Tolerance of Decentralized Adaptive Control,” Proc. of Int. Symp. on Autonomous Decentralized Systems, pp. 275–281.


Grahic Jump Location
Feedback controller structure
Grahic Jump Location
Feedback controller structure-Equivalent form 2
Grahic Jump Location
Simulation of the adaptive control system for the second order plant with state delay (27). The upper, middle, and lower graphs show the time history of the plant and reference model outputs y(t) and ym(t), and the error e(t), and control signals u(t), respectively. The parameter values of the controller are F=−1,g=1,γi=2, and the reference command is a square wave.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In