Chaotifying continuous-time TS fuzzy systems via discretization

Zhong Li, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


An approach is proposed for making a given stable continuous-time Takagi-Sugeno (TS) fuzzy-system chaotic, by first discretizing it and then 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 continuous-time TS fuzzy system, where the generated chaos is in the sense of Li and Yorke. A numerical example is included to visualize the theoretical analysis and the controller design.

Original languageEnglish
Pages (from-to)1237-1243
Number of pages7
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number10
Publication statusPublished - 2001 Oct

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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