Abstract
An approach based on time-delay feedback control is proposed to make a given stable continuous-time Takagi-Sugeno (TS) fuzzy system chaotic. It comprises fuzzy feedback linearization and a suitable approximate relationship between a time-delay differential equation and a discrete map. The time-delay feedback controller, chosen among several candidates, is a simple sinusoidal function of the system's delay states, which has small amplitude. This approach is mathematically proven correct for rigorous generation of chaos from stable continuous-time TS fuzzy systems, where the generated chaos is in the sense of Li and Yorke. Numerical examples are included to visualize the theoretical analysis and the controller design.
| Original language | English |
|---|---|
| Pages (from-to) | 813-832 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 10 |
| Issue number | 6 |
| Publication status | Published - Dec 2003 |
Research Keywords
- Chaotification
- Continuous-time TS fuzzy systems
- Fuzzy feedback linearization
- Fuzzy-model-based controller (FMBC)
- Time-delay feedback
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