Chaos formation and reduction in robust fixed point transformations based adaptive control

Krisztián Kósi, Szabolcs Hajdu, János F. Bitó, J. Tar

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

18 Citations (Scopus)

Abstract

In the design of adaptive controllers for roughly modeled nonlinear dynamic plants the most popular prevalent fundamental mathematical tool is Lypunov's "direct" method. Though normally it guarantees global stability several controller performance parameters of practical engineering significance cannot directly be addressed in this manner. In general simulation investigations or GA-based parameter optimization is needed for refining the controller. A possible alternative of the Lyapunov function technique is the application of Robust Fixed Point Transformation (RFPT) that has only local region of convergence but directly addresses practical needs as error relaxation. In this paper the details of quitting the region of convergence and its consequences are investigated. In the control of a 2 Degree Of Freedom (DOF) paradigm it will be shown that though this process has chaotic features it does not has drastic consequences in the control quality. Furthermore, it also is shown that by a simple smoothing trick this chaos can be refined and reduced to a limited amplitude of chattering that much probably is tolerable in many practical applications.

Original languageEnglish
Title of host publicationIEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings
Pages211-216
Number of pages6
DOIs
Publication statusPublished - 2012
EventIEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Budapest, Hungary
Duration: Aug 6 2012Aug 11 2012

Other

OtherIEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012
CountryHungary
CityBudapest
Period8/6/128/11/12

Fingerprint

Chaos theory
Controllers
Lyapunov functions
Refining
Quality control

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

Cite this

Kósi, K., Hajdu, S., Bitó, J. F., & Tar, J. (2012). Chaos formation and reduction in robust fixed point transformations based adaptive control. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings (pp. 211-216). [6304756] https://doi.org/10.1109/NSC.2012.6304756

Chaos formation and reduction in robust fixed point transformations based adaptive control. / Kósi, Krisztián; Hajdu, Szabolcs; Bitó, János F.; Tar, J.

IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. p. 211-216 6304756.

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

Kósi, K, Hajdu, S, Bitó, JF & Tar, J 2012, Chaos formation and reduction in robust fixed point transformations based adaptive control. in IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings., 6304756, pp. 211-216, IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012, Budapest, Hungary, 8/6/12. https://doi.org/10.1109/NSC.2012.6304756
Kósi K, Hajdu S, Bitó JF, Tar J. Chaos formation and reduction in robust fixed point transformations based adaptive control. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. p. 211-216. 6304756 https://doi.org/10.1109/NSC.2012.6304756
Kósi, Krisztián ; Hajdu, Szabolcs ; Bitó, János F. ; Tar, J. / Chaos formation and reduction in robust fixed point transformations based adaptive control. IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. 2012. pp. 211-216
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