Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems

Adrienn Dinevay, József K. Tarz, A. Várkonyi-Kóczy, Vincenzo Piurix

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

16 Citations (Scopus)

Abstract

Recently a systematic method was presented for the generation of whole families of 'Fixed Point Transformations' that can be used in nonlinear adaptive control of 'Single Input - Single Output (SISO)' systems as alternatives of Lyapunov's 'direct method'. In the present paper further development of this alternative method is considered. It consists in the generalization of the method for 'Multiple Input - Multiple Output (MIMO)' systems. The applicability of the novel method is demonstrated by the adaptive control of a 2 'Degree of Freedom (DoF)' system, a cart indirectly driven in the horizontal direction by a rotated pendulum. Results of numerical simulations illustrate and substantiate the usability of the suggested approach.

Original languageEnglish
Title of host publicationINES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages135-140
Number of pages6
ISBN (Print)9781467379397
DOIs
Publication statusPublished - Nov 13 2015
EventIEEE 19th International Conference on Intelligent Engineering Systems, INES 2015 - Bratislava, Slovakia
Duration: Sep 3 2015Sep 5 2015

Other

OtherIEEE 19th International Conference on Intelligent Engineering Systems, INES 2015
CountrySlovakia
CityBratislava
Period9/3/159/5/15

Fingerprint

Pendulums
Computer simulation

Keywords

  • Adaptive Control
  • Banach's Fixed Point Theorem
  • Fixed Point Transformation
  • Iterative Learning Control
  • Robust Fixed Point Transformation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Graphics and Computer-Aided Design
  • Artificial Intelligence
  • Software

Cite this

Dinevay, A., Tarz, J. K., Várkonyi-Kóczy, A., & Piurix, V. (2015). Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems. In INES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings (pp. 135-140). [7329694] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INES.2015.7329694

Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems. / Dinevay, Adrienn; Tarz, József K.; Várkonyi-Kóczy, A.; Piurix, Vincenzo.

INES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 135-140 7329694.

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

Dinevay, A, Tarz, JK, Várkonyi-Kóczy, A & Piurix, V 2015, Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems. in INES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings., 7329694, Institute of Electrical and Electronics Engineers Inc., pp. 135-140, IEEE 19th International Conference on Intelligent Engineering Systems, INES 2015, Bratislava, Slovakia, 9/3/15. https://doi.org/10.1109/INES.2015.7329694
Dinevay A, Tarz JK, Várkonyi-Kóczy A, Piurix V. Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems. In INES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. p. 135-140. 7329694 https://doi.org/10.1109/INES.2015.7329694
Dinevay, Adrienn ; Tarz, József K. ; Várkonyi-Kóczy, A. ; Piurix, Vincenzo. / Generalization of a sigmoid generated Fixed Point Transformation from SISO to MIMO systems. INES 2015 - IEEE 19th International Conference on Intelligent Engineering Systems, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 135-140
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