Generating chaos via feedback control from a stable TS fuzzy system through a sinusoidal nonlinearity

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Detail(s)

Original languageEnglish
Pages (from-to)2283-2291
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number10
Publication statusPublished - Oct 2002

Abstract

An approach is proposed for making chaotic a given stable Takagi-Sugeno (TS) fuzzy system using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, and satisfy the chaotic mechanisms of stretching and folding, thereby yielding chaotic dynamics. This approach is mathematically proven for rigorous generation of chaos from a stable TS fuzzy system, where the chaos is in the sense of Li and Yorke. A numerical example is included to visualize the theoretical analysis and the controller design.

Research Area(s)

  • Chaos generation, Lyapunov exponent, Parallel distributed compensation (PDC), State feedback, TS fuzzy system

Citation Format(s)

Generating chaos via feedback control from a stable TS fuzzy system through a sinusoidal nonlinearity. / Li, Zhong; Park, Jin Bae; Chen, Guanrong; Joo, Young Hoon; Choi, Yoon Ho.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 12, No. 10, 10.2002, p. 2283-2291.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal