Skip to main content
Log in

Robust Output-Control for a Linear System with Uncertain Coefficients

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A well-known common problem on the design of a stabilizing control law for a linear system with unknown parameters is studied. For an object given in input-output form with Hurwitz numerator, an approach based on robust control algorithms is developed to stabilize a linear uncertain system using only output measurements. The control system is simple in implementation and the dimension of the controller is one less than the degree of the object.

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.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. Fomin, V.N., Fradkov, A.L., and Yakubovich, V.A., Adaptivnoe upravlenie dinamicheskimi ob"ektami (Adaptive Control of Dynamic Systems), Moscow: Nauka, 1981.

    Google Scholar 

  2. Fradkov, A.L., Adaptivnoe upravlenie v slozhnykh sistemakh (Adaptive Control for Complex Systems), Moscow: Nauka, 1990.

    Google Scholar 

  3. Andrievskii, B.R. and Fradkov, A.L., Izbrannye glavy teorii avtomaticheskogo upravleniya s primerami na yazyke MATLAB (Selected Topics in Automatic Control Theory with Examples in MATLAB), St. Petersburg: Nauka, 1999.

    Google Scholar 

  4. Nikiforov, V.O. and Fradkov, A.L., Adaptive Control Circuits of Widened Error, Avtom.Telemekh., 1994, no. 9, pp. 3-22.

  5. Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.

    Google Scholar 

  6. Brusin, V.A. and Okmyanskii, V.A., Adaptive Stabilization of Linear Objects with a Continuous-Action Output-Controller, Avtom.Telemekh., 1991, no. 2, pp. 111-118.

  7. Yakubovich, V.A., Adaptive Stabilization of Continuous Systems, Avtom.Telemekh., 1988, no. 4, pp. 97-107.

  8. Kanellakopoulos, I., Kokotovich, P.V., and Morse, A.S., Systematic Design of Adaptive Controllers for Feedback Linearizable Systems, IEEE Trans.Autom.Control, 1991, vol. 36, pp. 1241-1253.

    Google Scholar 

  9. Krstic, M., Kanellakopoulos, I., and Kokotovich, P.V., Adaptive Nonlinear Control without Overparametrization, Syst.Control Lett., 1992, vol. 19, pp. 177-185.

    Google Scholar 

  10. Monopoli, R.V., Model Reference Adaptive Control with an Augmented Signal, IEEE Trans.Autom.Control, 1974, vol. 19, no. 5, pp. 474-484.

    Google Scholar 

  11. Morse, A.S., High-Order Parameter Tuners for Adaptive Control of Nonlinear Systems, in Systems, Models and Feedback: Theory and Applications, Isidori, A. and Tarn, T.J., Eds., Boston: Birkhauser, 1992.

    Google Scholar 

  12. Narendra, K.S. and Annaswamy, A.M., Stable Adaptive Systems, Englewood Cliffs: Prentice Hall, 1989.

    Google Scholar 

  13. Narendra, K.S. and Valavani, L.S., Stable Adaptive Controller Design—Direct Control, IEEE Trans.Autom.Control, 1978, vol. 23, no. 4, pp. 570-583.

    Google Scholar 

  14. Nikiforov, V.O., Output Robust Control for a Linear Object, Avtom.Telemekh., 1998, no. 9, pp. 87-99.

  15. Bobtsov, A.A., Lyamin, A.V., and Sergeev, K.A., Design of Control Law for Stabilization of Ill-Defined Time-Varying Objects, Izv.Vuzov, Prib., 2001, no. 4, pp. 3-7.

  16. Fradkov, A.L., Design of an Adaptive Stabilization System for a Linear Dynamic Object, Avtom.Telemekh., 1974, no. 12, pp. 96-103.

  17. Demidovich, B.A., Lektsii po matematicheskoi teorii ustoichivosti (Lectures on Mathematical Theory of Stability), Moscow: Mosk. Gos. Univ., 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bobtsov, A.A. Robust Output-Control for a Linear System with Uncertain Coefficients. Automation and Remote Control 63, 1794–1802 (2002). https://doi.org/10.1023/A:1020907415730

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020907415730

Keywords

Navigation