Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control

Won Ki Lee, Chang Ho Hyun, Euntai Kim, Mignon Park

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

2 Citations (Scopus)

Abstract

This paper presents a model reference adaptive control approach for the synchronization of a discrete-time chaotic systems using output tracking control. Takagi-Sugeno (T-S) fuzzy model is employed to represent the discrete-time chaotic system. Then, the reference model system is chosen using the output of master system and design the control input so that the controlled slave system achieves asymptotic synchronization with the reference system given that two systems start from different initial conditions, different parameters and/or different type of model. Using a gradient algorithm, the ideal controller gains which can stabilize the error equation are estimated. Simulation examples of two cases are given to demonstrate the validity of our proposed adaptive method.

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Pages3816-3820
Number of pages5
DOIs
Publication statusPublished - 2006 Dec 1
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Publication series

Name2006 SICE-ICASE International Joint Conference

Other

Other2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of
CityBusan
Period06/10/1806/10/21

Fingerprint

Chaotic systems
Synchronization
Model reference adaptive control
Controllers

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Lee, W. K., Hyun, C. H., Kim, E., & Park, M. (2006). Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control. In 2006 SICE-ICASE International Joint Conference (pp. 3816-3820). [4108426] (2006 SICE-ICASE International Joint Conference). https://doi.org/10.1109/SICE.2006.314668
Lee, Won Ki ; Hyun, Chang Ho ; Kim, Euntai ; Park, Mignon. / Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control. 2006 SICE-ICASE International Joint Conference. 2006. pp. 3816-3820 (2006 SICE-ICASE International Joint Conference).
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Lee, WK, Hyun, CH, Kim, E & Park, M 2006, Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control. in 2006 SICE-ICASE International Joint Conference., 4108426, 2006 SICE-ICASE International Joint Conference, pp. 3816-3820, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.314668

Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control. / Lee, Won Ki; Hyun, Chang Ho; Kim, Euntai; Park, Mignon.

2006 SICE-ICASE International Joint Conference. 2006. p. 3816-3820 4108426 (2006 SICE-ICASE International Joint Conference).

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

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AB - This paper presents a model reference adaptive control approach for the synchronization of a discrete-time chaotic systems using output tracking control. Takagi-Sugeno (T-S) fuzzy model is employed to represent the discrete-time chaotic system. Then, the reference model system is chosen using the output of master system and design the control input so that the controlled slave system achieves asymptotic synchronization with the reference system given that two systems start from different initial conditions, different parameters and/or different type of model. Using a gradient algorithm, the ideal controller gains which can stabilize the error equation are estimated. Simulation examples of two cases are given to demonstrate the validity of our proposed adaptive method.

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Lee WK, Hyun CH, Kim E, Park M. Adaptive synchronization of discrete-time T-S fuzzy chaotic systems using output tracking control. In 2006 SICE-ICASE International Joint Conference. 2006. p. 3816-3820. 4108426. (2006 SICE-ICASE International Joint Conference). https://doi.org/10.1109/SICE.2006.314668