Anticontrol of chaos for a continuous-time Takagi-Sugeno fuzzy system via local time-delay feedback

Taek Ryong Kim, Young Hoon Joo, Jin Bae Park, Guanrong Chen

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, a simple and systematic control design method is proposed for making a continuous-time Takagi-Sugeno (T-S) fuzzy system chaotic. The concept of parallel distributed compensation is employed to determine the structure of a fuzzy controller from a T-S fuzzy model. The fuzzy controller makes the T-S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop T-S fuzzy system is done by the following procedure. First, we establish an asymptotically approximate relationship between a continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system. Then, we verify the chaos in the closed-loop T-S fuzzy system by applying the Marotto theorem to its associated discrete-time T-S fuzzy system. The generated chaos is in the sense of Li and Yorke. Two examples are given to show that this methodology is simple and effective for anticontrol of chaos for a continuous-time T-S fuzzy system.

Original languageEnglish
Pages (from-to)3883-3894
Number of pages12
JournalInternational Journal of Bifurcation and Chaos
Volume15
Issue number12
DOIs
Publication statusPublished - 2005 Jan 1

Fingerprint

Takagi-Sugeno Fuzzy Systems
Local Time
Fuzzy systems
Chaos theory
Continuous Time
Time Delay
Time delay
Chaos
Feedback
Takagi-Sugeno Fuzzy Model
Fuzzy Controller
Closed-loop
Discrete-time
Controllers
Control Design
Design Method
Unstable
Verify
Methodology
Theorem

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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abstract = "In this paper, a simple and systematic control design method is proposed for making a continuous-time Takagi-Sugeno (T-S) fuzzy system chaotic. The concept of parallel distributed compensation is employed to determine the structure of a fuzzy controller from a T-S fuzzy model. The fuzzy controller makes the T-S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop T-S fuzzy system is done by the following procedure. First, we establish an asymptotically approximate relationship between a continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system. Then, we verify the chaos in the closed-loop T-S fuzzy system by applying the Marotto theorem to its associated discrete-time T-S fuzzy system. The generated chaos is in the sense of Li and Yorke. Two examples are given to show that this methodology is simple and effective for anticontrol of chaos for a continuous-time T-S fuzzy system.",
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Anticontrol of chaos for a continuous-time Takagi-Sugeno fuzzy system via local time-delay feedback. / Kim, Taek Ryong; Joo, Young Hoon; Park, Jin Bae; Chen, Guanrong.

In: International Journal of Bifurcation and Chaos, Vol. 15, No. 12, 01.01.2005, p. 3883-3894.

Research output: Contribution to journalArticle

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