Skip to main content
Log in

Output stabilization in uncertain many input-many output systems

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

The article considers robust output stabilization of a class of uncertain many input-many output systems. The problem is solved by the method of asymptotic invariance in the class of continuous feedbacks. Transients in the closed-loop control systems are estimated and the dependence of transient performance on observer and feedback parameters is investigated.

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. S. K. Korovin, A. L. Nersisyan, and Yu. E. Nisenzon, “Output control in linear uncertain plants,”Tekhnicheskaya Kibernetika, No. 1, 67–73 (1990).

    MathSciNet  Google Scholar 

  2. S. K. Korovin, A. L. Nersisyan, and Yu. E. Nisenzon, “Output stabilization for a class of uncertain systems,” in:Optimization of Controlled Dynamic Systems [in Russian], No. 1. VNIISI, Moscow (1990).

    Google Scholar 

  3. S. V. Emelyanov, S. K. Korovin, A. L. Nersisian, and Yu. Ye. Nisenzon, “Output feedback stabilization of uncertain plants: a variable structure systems approach,”Int. J. Contr.,55, No. 1, 61–81 (1992).

    MathSciNet  Google Scholar 

  4. S. V. Emelyanov, S. K. Korovin, A. L. Nersisian, and Yu. Ye. Nisenzon, “Discontinuous output feedback stabilizing an uncertain MIMO plant,”Int. J. Contr.,55, No. 1, 83–107 (1992).

    MathSciNet  Google Scholar 

  5. S. K. Korovin, I. G. Mamedov, and A. P. Nosov, “Suboptimality of asymptotically invariant control systems,”Diff. Uravn.,28, No. 11, 1932–1945 (1992).

    MathSciNet  Google Scholar 

  6. S. V. Emel'yanov, S. K. Korovin, I. G. Mamedov, and A. P. Nosov, “Asymptotic invariance in control problems for uncertain plants,”Dokl. Akad. Nauk SSSR,311, No. 1, 44–49 (1990).

    MathSciNet  Google Scholar 

  7. S. V. Emel'yanov, S. K. Korovin, I. G. Mamedov, and A. P. Nosov, “Asymptotic invariance and robust stabilization of hereditary systems by continuous control,”Dokl. Akad. Nauk SSSR,311, No. 2, 296–300 (1990).

    MathSciNet  Google Scholar 

  8. T. Kailath,Linear Systems, Prentice Hall, Englewood Cliffs, NJ (1980).

    Google Scholar 

  9. S. V. Emel'yanov,Binary Control Systems [in Russian], MNII-PU, Moscow (1984).

    Google Scholar 

  10. A. F. Filippov,Differential Equations with Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  11. Yu. N. Andreev,Control of Finite-Dimensional Linear Plants [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  12. A. P. Nosov and A. S. Fursov, “Output stabilization of a class of uncertain sysetms with stable zero dynamics by asymptotic invariance methods,” in: S. V. Emel'yanov and S. K. Korovin (editors),Analysis Methods for Nonlinear Systems [in Russian], Dialog-MGU, Moscow (1997), pp. 87–101.

    Google Scholar 

Download references

Authors

Additional information

Translated from Nelineinaya Dinamika i Upravlenie, pp. 159–172, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nosov, A.P., Fursov, A.S. Output stabilization in uncertain many input-many output systems. Comput Math Model 11, 170–180 (2000). https://doi.org/10.1007/BF02359184

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02359184

Keywords

Navigation