Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems

Keigo Watanabe, Lanka Udawatta, Kiyotaka Izumi

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Controlling of chaos is an interesting research topic while employing of deterministic chaos for controlling is more interesting. This chapter focuses on employing and utilizing of inherent chaotic features in a nonlinear dynamical system in a useful manner. When it comes to employing deterministic chaos, there are tremendous advantages such as low-energy consumption, robustness of the controller performance, information security, and simplicity of employing chaos whenever it has chaotic attractive features in the original systems itself. If the original system does not have chaotic properties, deterministic chaos will be introduced to the system. Keeping these objectives, the control algorithm is constructed in order to control nonlinear systems, which exhibit chaotic behavior. We introduce two phases of control: First phase uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Fuzzy model based controller is employed under state feedback control in the second phase of control. The Henon map and the three-dimensional Lorenz attractor, which have chaotic attractive features in their original systems, are taken into consideration so as to utilize the benefits of chaos. Then, a two-link manipulator is considered to illustrate the design procedure with employing deterministic chaos. Simulation results show the effectiveness of the proposed controller.

Original languageEnglish
Title of host publicationStudies in Fuzziness and Soft Computing
Pages481-506
Number of pages26
Volume187
DOIs
Publication statusPublished - 2006
Externally publishedYes

Publication series

NameStudies in Fuzziness and Soft Computing
Volume187
ISSN (Print)14349922

Fingerprint

Nonlinear Dynamic System
Deterministic Chaos
Chaos theory
Chaos
Dynamical systems
Controller
Controllers
Lorenz attractor
Hénon Map
Open-loop Control
Nonlinear Control Systems
State Feedback Control
Information Security
Chaotic Attractor
Nonlinear Dynamical Systems
Chaotic Behavior
Manipulator
Fuzzy Model
Control Algorithm
Nonlinear control systems

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Watanabe, K., Udawatta, L., & Izumi, K. (2006). Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. In Studies in Fuzziness and Soft Computing (Vol. 187, pp. 481-506). (Studies in Fuzziness and Soft Computing; Vol. 187). https://doi.org/10.1007/11353379_17

Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. / Watanabe, Keigo; Udawatta, Lanka; Izumi, Kiyotaka.

Studies in Fuzziness and Soft Computing. Vol. 187 2006. p. 481-506 (Studies in Fuzziness and Soft Computing; Vol. 187).

Research output: Chapter in Book/Report/Conference proceedingChapter

Watanabe, K, Udawatta, L & Izumi, K 2006, Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. in Studies in Fuzziness and Soft Computing. vol. 187, Studies in Fuzziness and Soft Computing, vol. 187, pp. 481-506. https://doi.org/10.1007/11353379_17
Watanabe K, Udawatta L, Izumi K. Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. In Studies in Fuzziness and Soft Computing. Vol. 187. 2006. p. 481-506. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/11353379_17
Watanabe, Keigo ; Udawatta, Lanka ; Izumi, Kiyotaka. / Fuzzy-Chaos hybrid controllers for nonlinear dynamic systems. Studies in Fuzziness and Soft Computing. Vol. 187 2006. pp. 481-506 (Studies in Fuzziness and Soft Computing).
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