Skip to main content
Log in

Model reference adaptive control design for plants with input delays

  • Adaptive and Robust Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A new reference model adaptive control scheme is proposed for plants with input delays where the control is formed only from the information about the input and output of the plant. The design procedure is based on the concept of reference model prediction by using the augmented error. The controller contains only filters of minimal complexity and blocks with lumped delay, which is in contrast to the known configurations with distributed delays. A numerical example is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002.

    Google Scholar 

  2. Tao, G., Adaptive Control Design and Analysis, New York: Wiley, 2003.

    Book  MATH  Google Scholar 

  3. Hua, C., Guan, X., and Shi, P., Robust Adaptive Control for Uncertain Time-delay Systems, Int. J. Adapt. Control Signal Proc., 2005. vol. 19, no. 7, pp. 531–545.

    Article  MATH  MathSciNet  Google Scholar 

  4. Ichikawa, K., Adaptive Control of Delay Systems, Int. J. Control, 1986, vol. 41, pp. 1653–1659.

    Article  MathSciNet  Google Scholar 

  5. Parsheva, E.A. and Tsykunov, A.M., Adaptive Control of an Object with a Delayed Control and Scalar Input-Output Signals, Autom. Remote Control, 2001, no. 1, pp. 124–131.

  6. Ortega, R. and Lozano, R., Globally Stable Adaptive Controller for Systems with Delay, Int. J. Control, 1988, vol. 47, no. 1, pp. 17–23.

    Article  MATH  MathSciNet  Google Scholar 

  7. Evesque, S., Annaswamy, A.M., Niculescu, S.I., and Dowling, A.P., Adaptive Control of a Class of Timedelay Systems, J. Dynam. Syst., Measurement, Control, 2003, vol. 125, no. 2, pp. 186–193 (Special Issue on Time Delay Systems).

    Article  Google Scholar 

  8. Mirkin, E.L., Combination of Sliding Mode and Reference Model Prediction Methods for Adaptive Control of Input Delay Systems, Proc. 7th Int. Workshop on Variable Structure Syst., Sarajevo, 2002, pp. 153–162.

  9. Mirkin, B.M., Mirkin, E.L., and Gutman, P.-O., Model Reference Adaptive Control of Nonlinear Plant with Dead Time, Proc. 47th IEEE Conf. Decision Control, Cancun, Mexico, 2008, pp. 1920–1924.

  10. Mirkin, B.M., Mirkin, E.L., and Gutman, P.-O., State-Feedback Adaptive Tracking of Linear Systems with Input and State Delays, Int. J. Adapt. Control Signal Proc., 2009, vol. 23, no. 6, pp. 567–580.

    MATH  MathSciNet  Google Scholar 

  11. Mirkin, E.L. and Sharshenaliev, Zh.Sh., Reference Model Adaptive Control Design for SISO Systems, in Problemy avtomatiki i upravleniya (Problems in Automatics and Control), Bishkek: Ilim, 2008, no. 9, pp. 5–14.

    Google Scholar 

  12. Gantmakher, F.R., Teoriya matrits (Matrix Theory), Moscow: Nauka, 1988.

    MATH  Google Scholar 

  13. Monopoli, R.V., Model Reference Adaptive Control with an Augmented Error Signal, IEEE Trans. Automat. Control, 1974, vol. 19, pp. 474–484.

    Article  MATH  Google Scholar 

  14. Yakubovich, V.A., Solution of Some Matrix Inequalities in Automatic Control Theory, Dokl. Akad. Nauk SSSR, 1962, vol. 143, no. 6, pp. 1304–1307.

    MathSciNet  Google Scholar 

  15. Ioannou, P.A. and Sun, J., Robust Adaptive Control, New Jersey: Prentice-Hall, 1996.

    MATH  Google Scholar 

  16. Narendra, K.S., Annaswamy, A.M., and Singh, R.P., A General Approach to the Stability Analysis of Adaptive Systems, Int. J. Control, 1985, vol. 41, no. 1, pp. 193–216.

    Article  MATH  MathSciNet  Google Scholar 

  17. Orlov, R., Belkoura, L., Richard, J., and Dambrine, M., On Identifiability of Linear Time-delay Systems, IEEE Trans. Automat. Control, 2002, no. 8, pp. 1319–1324.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © E.L. Mirkin, Zh.Sh. Sharshenaliev, 2010, published in Avtomatika i Telemekhanika, 2010, No. 11, pp. 159–171.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mirkin, E.L., Sharshenaliev, Z.S. Model reference adaptive control design for plants with input delays. Autom Remote Control 71, 2405–2416 (2010). https://doi.org/10.1134/S0005117910110123

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117910110123

Keywords

Navigation