Skip to main content
Log in

Identification of linear time-invariant systems

  • Published:
International Applied Mechanics Aims and scope

An algorithm for the identification of a stationary linear system from sampled data on a transient process is presented. The algorithm allows the original problem to be decomposed into two problems: finding the roots of the characteristic polynomial and determining the amplitudes of the respective modes. A special objective function permits increasing the accuracy of identification

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. A. S. Apostolyuk and V. B. Larin, “On identification of linear stationary systems,” J. Automat. Inform. Sci., 40, No. 7, 37–47 (2008).

    Article  Google Scholar 

  2. A. S. Apostolyuk and V. B. Larin, “Identification of stationary linear systems by irregular measurements,” J. Automat. Inform. Sci., 42, No. 9, 25–35 (2010).

    Article  Google Scholar 

  3. R. N. Bakhtizin and A. R. Latypov, “Estimating the order of linear objects from experimental data,” Avtomat. Telemekh., No. 3, 108–112 (1992).

    MathSciNet  Google Scholar 

  4. V. M. Kuntsevich and A. B. Kurzhanski, “Attainability domains for linear and some classes of nonlinear discrete systems and their control,” J. Automat. Inform. Sci., 42, No. 1, 1–18 (2010).

    Article  Google Scholar 

  5. C. Lanczos, Applied Analysis, Englewood Cliffs, Prentice Hall (1956).

    Google Scholar 

  6. V. B. Larin, “The use of matrix pencils in an identification problem,” J. Autom. Inform. Sci., 28, No. 3–4, 53–62 (1996).

    Google Scholar 

  7. L. Ljung, “Model accuracy in system identification,” in: Proc. IFAC Symp. on Intelligent Tuning and Adaptive Control, ITAC 91, Singapore, January 15–17 (1991).

  8. A. S. Apostoluyk and V. B. Larin, “Measurement data handling in identification of mechanical systems,” Int. Appl. Mech., 46, No. 10, 1164–1176 (2010).

    Google Scholar 

  9. R. Bellman, “On the separation of exponentials,” Boll. Unione Matem. Ital., III, 15, No. 1, 38–39 (1960).

    MATH  Google Scholar 

  10. A. E. Frazho, B. Yagci, and H. Sumali, “On sinusoid estimation in nonstationary noise,” IEEE Trans. Automat. Control, 49, No. 5, 777–781 (2004).

    Article  MathSciNet  Google Scholar 

  11. H. Garnier and L. Wang (eds.), Identification of Continuous-Time Models from Sampled Data, Springer-Verlag, London (2008).

    Google Scholar 

  12. Y. Hua and T. К. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoustics, Speech and Signal Proc., 38, No. 5, 814–824 (1990).

    Article  MATH  Google Scholar 

  13. V. B. Larin, “Control problems for wheeled robotic vehicles,” Int. Appl. Mech., 45, No. 4, 363–388 (2009).

    Article  ADS  Google Scholar 

  14. V. B. Larin, “On path planning for a compound wheeled vehicle,” Int. Appl. Mech., 46, No. 3, 323–329 (2010).

    Article  ADS  Google Scholar 

  15. V. B. Larin, “Motion planning for a wheeled robotic vehicle with no steerable wheel,” Int. Appl. Mech., 46, No. 5, 604–610 (2010).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. B. Larin.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 47, No. 6, pp. 169–176, November 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Larin, V.B., Apostolyuk, A.S. Identification of linear time-invariant systems. Int Appl Mech 47, 754–760 (2011). https://doi.org/10.1007/s10778-011-0501-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-011-0501-y

Keywords

Navigation