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Stabilizing a chain of integrators using multiple delays
- Source :
- IEEE Transactions on Automatic Control. May, 2004, Vol. 49 Issue 5, p802, 6 p.
- Publication Year :
- 2004
-
Abstract
- This note addresses the output feedback stabilization problem of a chain of integrators using multiple delays. We shall prove that either n distinct delays or a proportional+delay compensator with n--1 distinct delays are sufficient to stabilize a chain including n integrators. We present two different approaches. Both are constructive and rely on frequency-do-main techniques: on a derivative feedback approximation idea, and a pole placement idea, respectively. An illustrative example (triple integrator) is presented. Index Terms--Delay, integrator, interpolation, pole placement.
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 49
- Issue :
- 5
- Database :
- Gale General OneFile
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.117452640