Skip to main content
SpringerLink
Log in

Designing suboptimal discrete output control laws for damping bounded perturbations

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

Abstract

The suboptimal linear discrete output control laws were designed which are capable of minimizing the upper estimate of the maximal value of the norm of controlled output for any bounded perturbations and all initial system conditions from some domain. The laws were designed using the method of invariant ellipsoids and the apparatus of linear matrix inequalities.

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

Access this article

Log in via an institution

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. Nazin, S.A., Polyak, B.T., and Topunov, M.V., Rejection of Bounded Exogenous Disturbances by the Method of Invariant Ellipsoids, Autom. Remote Control, 2007, vol. 68, no. 3, pp. 467–486.

    Article  MathSciNet  MATH  Google Scholar 

  2. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory, Philadelphia: SIAM, 1994.

    Book  MATH  Google Scholar 

  3. Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Designing the Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007.

    Google Scholar 

  4. Balandin, D.V. and Kogan, M.M., Synthesis of a Suboptimal Controller by Output for Dampening Limited Disturbances, Autom. Remote Control, 2011, vol. 72, no. 4, pp. 677–683.

    Article  MathSciNet  MATH  Google Scholar 

  5. Khlebnikov, M.V., Suppression of Bounded Exogenous Disturbances: A Linear Dynamic Output Controller, Autom. Remote Control, 2011, vol. 72, no. 4, pp. 699–712.

    Article  MathSciNet  MATH  Google Scholar 

  6. Horn, R. and Johnson, C., Matrix Analysis, New York: Cambridge Univ. Press, 1985. Translated under the title Matrichnyi analiz, Moscow: Mir, 1989.

    MATH  Google Scholar 

  7. Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost’ nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with Nonunique Equilibrium State), Moscow: Nauka, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nizhni Novgorod University of Architecture and Civil Engineering, Nizhni Novgorod, Russia

    L. N. Krivdina

Authors
  1. L. N. Krivdina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © L.N. Krivdina, 2012, published in Avtomatika i Telemekhanika, 2012, No. 5, pp. 3–13.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krivdina, L.N. Designing suboptimal discrete output control laws for damping bounded perturbations. Autom Remote Control 73, 769–777 (2012). https://doi.org/10.1134/S0005117912050013

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117912050013

Keywords

Search

Navigation