Skip to main content
Log in

Anisotropic controller design for descriptor systems with respect to the output variable

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

Abstract

We develop a method for designing optimal anisotropic controllers for discrete time descriptor systems with incomplete measurements of the state vector. We illustrate the method with a numerical example.

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. Semyonov, A.V., Vladimirov, I.G., and Kurdjukov, A.P., Stochastic Approach to H -Optimization, Proc. 33rd IEEE Conf. Decision Control, Florida, 1994, pp. 2249–2250.

    Google Scholar 

  2. Vladimirov, I.G., Kurdyukov, A.P., and Semenov, A.V., Signal Anisotropy and Entropy of Linear Stationary Systems, Dokl. Akad. Nauk, 1995, vol. 342, no. 5, pp. 583–585.

    MathSciNet  Google Scholar 

  3. Vladimirov, I.G., Kurdyukov, A.P., and Semenov, A.V., The Stochastic H -Optimization Problem, Dokl. Akad.Nauk, 1995, vol. 343, no. 5, pp. 607–609.

    MathSciNet  Google Scholar 

  4. Vladimirov, I.G., Kurdjukov, A.P., and Semyonov, A.V., State-Space Solution to Anisotropy-Based Stochastic H -Optimization Problem, Proc. 13th IFAC World Congr., San-Francisco, 1996, pp. 427–432.

    Google Scholar 

  5. Dai, L., Singular Control Systems, Lecture Notes in Control and Information Sciences, New York: Springer-Verlag, 1989.

    Book  MATH  Google Scholar 

  6. Riaza, R., Differential-Algebraic Systems. Analytical Aspects and Circuit Applications, Singapore: World Scientific, 2008.

    Book  MATH  Google Scholar 

  7. Xu, S. and Lam, J., Robust Control and Filtering of Singular Systems, Lecture Notes in Control and Information Sciences, Berlin: Springer-Verlag, 2006.

    MATH  Google Scholar 

  8. Belov, A.A., Anisotropy-Based Control for Discrete-Time Descriptor Systems via State Feedback, 14th Int. Student Olympiad Autom. Control, St. Petersburg, 2011, pp. 134–140.

    Google Scholar 

  9. Stykel, T., Input-Output Invariants for Descriptor Systems, Calgary: Univ. of Calgary, 2003.

    Google Scholar 

  10. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1988, 4th ed.

    MATH  Google Scholar 

  11. Belov, A.A. and Kurdyukov, A.P., Lineinye deskriptornye systemi diskretnogo vremeni (Linear Discrete Time Descriptor Systems), Moscow: Inst. Probl. Upravlen., 2011.

    Google Scholar 

  12. Safonov, M. and Limebeer, D.J.N., Simplifying the H Theory via Loop Shifting, Proc. 27 Conf. on Decision Control, Texas, 1988, pp. 1399–1404.

    Chapter  Google Scholar 

  13. Belov, A.A. and Kurdyukov, A.P., Calculation of the Anisotropic Norm of the Descriptor System, Autom. Remote Control, 2010, vol. 71, no. 6, pp. 1022–1033.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.A. Belov, 2013, published in Avtomatika i Telemekhanika, 2013, No. 11, pp. 84–99.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belov, A.A. Anisotropic controller design for descriptor systems with respect to the output variable. Autom Remote Control 74, 1838–1850 (2013). https://doi.org/10.1134/S0005117913110064

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117913110064

Keywords

Navigation