On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations

Krisztín Kósi, János F. Bitó, J. Tar

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

5 Citations (Scopus)

Abstract

For replacing Lyapunov's sophisticated "2nd Method" in the design of adaptive controllers a novel approach based on Robust Fixed Point Transformations (RFPT) was proposed that directly concentrates on the designer's intent instead of forcing global stability. It guarantees convergence only in a bounded basin while iteratively generating the sequence of the appropriate control signals. In the initial phase of this iterative learning considerable fluctuation may occur in the control signal that otherwise may be limited due to phenomenological reasons. While in mechanical systems positive or negative force or torque components can be allowed, in controlling chemical reactions negative ingress rates of pure reactants into a stirring tank reactor phenomenologically cannot be realized. While velocity components may have well interpreted positive or negative values, negative concentrations physically cannot make sense. On this reason the mathematical models of chemical reactions normally containing the products of various powers of the concentrations must be completed with truncation-type nonlinearities that introduce strong asymmetric nonlinearities. In this paper the effects of these phenomena are investigated via computer simulations in the adaptive control of a Classical Mechanical and a chemical system. It was found that in spite of these limitations the adaptive controller can still work at least in certain segments of the whole control section.

Original languageEnglish
Title of host publication2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012
Pages259-264
Number of pages6
DOIs
Publication statusPublished - 2012
Event2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012 - Subotica, Serbia
Duration: Sep 20 2012Sep 22 2012

Other

Other2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012
CountrySerbia
CitySubotica
Period9/20/129/22/12

Fingerprint

Controllers
Chemical reactions
Torque
Mathematical models
Computer simulation

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Kósi, K., Bitó, J. F., & Tar, J. (2012). On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations. In 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012 (pp. 259-264). [6339525] https://doi.org/10.1109/SISY.2012.6339525

On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations. / Kósi, Krisztín; Bitó, János F.; Tar, J.

2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012. 2012. p. 259-264 6339525.

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

Kósi, K, Bitó, JF & Tar, J 2012, On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations. in 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012., 6339525, pp. 259-264, 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012, Subotica, Serbia, 9/20/12. https://doi.org/10.1109/SISY.2012.6339525
Kósi K, Bitó JF, Tar J. On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations. In 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012. 2012. p. 259-264. 6339525 https://doi.org/10.1109/SISY.2012.6339525
Kósi, Krisztín ; Bitó, János F. ; Tar, J. / On the effects of strong asymmetries on the adaptive controllers based on robust fixed point transformations. 2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics, SISY 2012. 2012. pp. 259-264
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