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 - 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