Abstract
The effect of the delayed feedback control on the stability of periodic solutions of linear systems with sate jump is examined. Although the stability of the open-loop and the OGY feedback cases can be analyzed via matrix representations (Poincare map), the system with DFC requires an operator representation of the state transition on a certain function space due to the infinitedimensionality caused by the time delay element in the controller. A stability condition is given in terms of the spectrum of this operator. Also an analytic formula and a numerical method for the computation of the spectrum are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 35-40 |
| Number of pages | 6 |
| Journal | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Volume | 36 |
| Issue number | 19 |
| DOIs | |
| Publication status | Published - Jan 1 2003 |
| Externally published | Yes |
| Event | 4th IFAC Workshop on Time Delay Systems, TDS 2003 - Rocquencourt, France Duration: Sep 8 2003 → Sep 10 2003 |
Keywords
- Operators
- Periodic motion
- Stability analysis
- Time-delay
- Walking
ASJC Scopus subject areas
- Control and Systems Engineering
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Cite this
Hirata, K., & Kokame, H. (2003). Delayed feedback control of linear systems with state jump. IFAC Proceedings Volumes (IFAC-PapersOnline), 36(19), 35-40. https://doi.org/10.1016/S1474-6670(17)33298-6