Skip to main content

Advertisement

Log in

A physics-based approach to control systems design using compensation of controlled plant dynamics and perturbations

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

Abstract

This paper introduces a new physical considerations-based approach to the development of control algorithms for dynamic plants, which involves a compensation principle as follows. Being external with respect to a controlled plant, control actions (compensating signals) are applied with the opposite sign to the corresponding variables of the inverse mathematical model of the plant. Regularization of the resulting system is performed by incorporating etalon filters in compensation loops. The described method is used to solve a control problem for the linear stable multidimensional plants with additive external influences and compensation of the perturbations affecting the output variables.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Metody klassicheskoi i sovremennoi teorii avtomaticheskogo upravleniya, tom 3: Sintez regulyatorov sistem avtomaticheskogo upravleniya (Methods of Classical and Modern Theory of Automatic Control, vol. 3: Regulator Synthesis for Automatic Control Systems), Pupkov, K.A. and Egupov, N.D., Eds., Moscow: Mosk. Gos. Tekhn. Univ. im. Baumana, 2004.

  2. Dorf, R.C. and Bishop, R.H., Modern Control Systems, Menlo Park: Addison-Wesley, 1998, 8th ed. Translated under the title Sovremennye sistemy upravleniya, Moscow: Laboratoriya Bazovykh Znanii, 2002.

    MATH  Google Scholar 

  3. Sovremennye metody proektirovaniya sistem avtomaticheskogo upravleniya. Analiz i sintez (Modern Design Methods for Automatic Control Systems. Analysis and Synthesis), Petrov, B.N., Solodovnikov, V.V., and Topcheev, Yu.V., Eds., Moscow: Mashinostroenie, 1967.

  4. Tsypkin, Ya.Z., Osnovy teorii avtomaticheskikh sistem (Fundamentals of Automatic Control Theory), Moscow: Nauka, 1977.

    Google Scholar 

  5. Andrievskii, B.R. and Fradkov, A.L., Izbrannye glavy teorii avtomaticheskogo upravleniya (Selected Chapters of Automatic Control Theory), St. Petersburg: Nauka, 2000.

    Google Scholar 

  6. Isermann, R., Digital Control Systems, New York: Springer-Verlag, 1981. Translated under the title Tsifrovye sistemy upravleniya, Moscow: Mir, 1984.

    Book  MATH  Google Scholar 

  7. Pervozvanskii, A.A., Kurs teorii avtomaticheskogo upravleniya (A Course on Automatic Control Theory), Moscow: Nauka, 1986.

    Google Scholar 

  8. Miroshnik, I.V., Teoriya avtomaticheskogo upravleniya. Lineinye sistemy (Automatic Control Theory. Linear Systems), St. Petersburg: Piter, 2005.

    Google Scholar 

  9. Phillips, C. and Harbor, R., Feedback Control Systems, Englewood Cliffs: Prentice Hall, 2000, 4 ed. Translated under the title Sistemy upravleniya s obratnoi svyaz’yu, Moscow: Laboratoriya Bazovykh Znanii, 2001.

    MATH  Google Scholar 

  10. Kalman, R.E., Falb, P.L., and Arbib, M.A., Topics in Mathematical System Theory, New York: McGraw Hill, 1969. Translated under the title Ocherki po matematicheskoi teorii sistem, Moscow: Mir, 1971.

    MATH  Google Scholar 

  11. Andreev, A.Yu., Upravlenie konechnomernymi lineinymi ob”ektami (Control of Finite-Dimensional Linear Plants), Moscow: Nauka, 1976.

    MATH  Google Scholar 

  12. Kuzovkov, N.T., Modal’noe upravlenie i modal’nye ustroistva (Modal Control and Modal Devices), Moscow: Mashinostroenie, 1976.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. K. Shadrin.

Additional information

Original Russian Text © G.K. Shadrin, 2016, published in Avtomatika i Telemekhanika, 2016, No. 7, pp. 33–46.

This paper was recommended for publication by A.L. Fradkov, a member of the Editorial Board

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shadrin, G.K. A physics-based approach to control systems design using compensation of controlled plant dynamics and perturbations. Autom Remote Control 77, 1152–1162 (2016). https://doi.org/10.1134/S0005117916070031

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117916070031

Navigation