On the simulation of RFPT-based adaptive control of systems of 4 th order response

Krisztián Kósi, Teréz A. Várkonyi, J. Tar, I. Rudas, János F. Bitó

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

As an alternative of Lyapunov functions based design methods the "Robust Fixed Point Transformations (RFPT)"-based adaptive control design was developed in the past years. The traditional approaches emphasize the global stability of the controlled phenomena while leaving the details of the trajectory tracking develop as a not very clear consequence of the control settings the novel design directly concentrates on the observable response of the controlled system therefore it can concentrate on the tracking details as a primary design intent. Whenever a Classical Mechanical system that normally produces 2nd order response (i.e. acceleration) is forced through an elastic component its immediate response becomes 4th order one. Practical observation of the 4th order derivatives of a variable may suffer from measurement noises. Furthermore, when in simulation studies the higher order derivatives are numerically integrated and later numerically differentiated to provide the appropriate feedback signals the non-smooth jumps in the numerical integrator can destroy the simulation results. By the use of a simple 4th order model in this paper it is shown that the chained use of the built-in differentiators of the simulation package SCILAB is inappropriate for simulation purposes. It is also shown that by the use of a simple 4th order polynomial differentiator this problem can be solved. This statement is substantiated by simulation results.

Original languageEnglish
Title of host publicationSISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings
Pages259-264
Number of pages6
DOIs
Publication statusPublished - 2013
Event2013 IEEE 11th International Symposium on Intelligent Systems and Informatics, SISY 2013 - Subotica, Serbia
Duration: Sep 26 2013Sep 28 2013

Other

Other2013 IEEE 11th International Symposium on Intelligent Systems and Informatics, SISY 2013
CountrySerbia
CitySubotica
Period9/26/139/28/13

Fingerprint

Derivatives
Lyapunov functions
Trajectories
Polynomials
Feedback

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Kósi, K., Várkonyi, T. A., Tar, J., Rudas, I., & Bitó, J. F. (2013). On the simulation of RFPT-based adaptive control of systems of 4 th order response. In SISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings (pp. 259-264). [6662582] https://doi.org/10.1109/SISY.2013.6662582

On the simulation of RFPT-based adaptive control of systems of 4 th order response. / Kósi, Krisztián; Várkonyi, Teréz A.; Tar, J.; Rudas, I.; Bitó, János F.

SISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings. 2013. p. 259-264 6662582.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kósi, K, Várkonyi, TA, Tar, J, Rudas, I & Bitó, JF 2013, On the simulation of RFPT-based adaptive control of systems of 4 th order response. in SISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings., 6662582, pp. 259-264, 2013 IEEE 11th International Symposium on Intelligent Systems and Informatics, SISY 2013, Subotica, Serbia, 9/26/13. https://doi.org/10.1109/SISY.2013.6662582
Kósi K, Várkonyi TA, Tar J, Rudas I, Bitó JF. On the simulation of RFPT-based adaptive control of systems of 4 th order response. In SISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings. 2013. p. 259-264. 6662582 https://doi.org/10.1109/SISY.2013.6662582
Kósi, Krisztián ; Várkonyi, Teréz A. ; Tar, J. ; Rudas, I. ; Bitó, János F. / On the simulation of RFPT-based adaptive control of systems of 4 th order response. SISY 2013 - IEEE 11th International Symposium on Intelligent Systems and Informatics, Proceedings. 2013. pp. 259-264
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