Skip to main content
SpringerLink
Log in

Analytical design of the robust controllers by parameterization of the Lur’e-Riccati equation

  • Finite-Dimensional Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

An approach to designing the static robust controllers for a linear system by solving the linear quadratic problem was presented. Analytical descriptions of the stabilized sets of plant perturbations based on the technology of system embedding and parametrization of the Lur’e-Riccati equation were obtained together with the expressions for the corresponding controllers.

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

    Google Scholar 

  2. Bukov, V.N., Vlozhenie sistem. Analiticheskii podkhod k analizu i sintezu matrichnykh sistem (System Embedding. Analytical Approach to Analysis and Design of the Matrix Systems), Kaluga: Nauch. Lit. N.F. Bochkarevoi, 2006.

    Google Scholar 

  3. Bukov, V.N., Ryabchenko, V.N., and Sel’vesyuk, N.I., N.I., Parameterization of the Lur’e-Riccati Equation, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2005, no. 4, pp. 80–87.

  4. Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal’nye sistemy upravleniya, Moscow: Mir, 1977.

    MATH  Google Scholar 

  5. Bukov, V.N., Ryabchenko, V.N., Kos’yanchuk, V.V., and Zybin, E.Yu., Solution of the Linear Matrix Equations by the Method of Canonization, Vestn. Kiev. Univ., Ser. Fiz.-mat. Nauk, 2002, no. 1, pp. 19–28.

  6. Bukov, V.N., Ryabchenko, V.N., and Sel’vesyuk, N.I., Solution of Special Matrix Equations by the Method of Canonization, Vestn. Kiev. Univ., Ser. Fiz.-mat. Nauk, 2004, no. 3, pp. 18–26.

Download references

Author information

Authors and Affiliations

  1. Research Institute for Aviation Instrumentation, Zhukovskii, Russia

    V. N. Bukov

  2. Zhukovskii Air Force Engineering Academy, Moscow, Russia

    N. I. Sel’vesyuk

Authors
  1. V. N. Bukov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. I. Sel’vesyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.N. Bukov, N.I. Sel’vesyuk, 2007, published in Avtomatika i Telemekhanika, 2007, No. 2, pp. 6–16.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bukov, V.N., Sel’vesyuk, N.I. Analytical design of the robust controllers by parameterization of the Lur’e-Riccati equation. Autom Remote Control 68, 214–223 (2007). https://doi.org/10.1134/S0005117907020026

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117907020026

PACS number

Search

Navigation