Abstract
In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno (TS) fuzzy system, which employs the parallel distributed compensation (PDC) to determine the structure of a fuzzy controller so as to make all the Lyapunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system, in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the mod-operation. A numerical example is included to visualize the anticontrol effect.
| Original language | English |
|---|---|
| Pages (from-to) | 249-253 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications |
| Volume | 49 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2002 Feb 1 |
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
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Cite this
Li, Z., Park, J. B., Joo, Y. H., Choi, Y. H., & Chen, G. (2002). Anticontrol of chaos for discrete TS fuzzy systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(2), 249-253. https://doi.org/10.1109/81.983873