Abstract
A time-delay feedback control approach is developed for making a continuous-time minimum-phase system chaotic. The approach is based on the geometric control theory and a suitable approximate relationship between a time-delay differential equation and a discrete map. If the original system has an exponentially stable equilibrium point, then a simple time-delay output-feedback controller with arbitrarily small amplitude can drive the system chaotic. Two different types of simulation examples are included for demonstration.
| Original language | English |
|---|---|
| Pages (from-to) | 641-645 |
| Journal | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications |
| Volume | 48 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 2001 |
Research Keywords
- Chaos
- Minimum-phase
- Time-delay
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