Title :
Stabilizing a chain of integrators using multiple delays
Author :
Niculescu, Silviu-Iulian ; Michiels, Wim
Author_Institution :
Centre de Recherche de R.lieu, Univ. de Technol. de Compiegne, France
fDate :
5/1/2004 12:00:00 AM
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-domain techniques: on a derivative feedback approximation idea, and a pole placement idea, respectively. An illustrative example (triple integrator) is presented.
Keywords :
delays; feedback; frequency-domain analysis; interpolation; proportional control; stability; derivative feedback approximation; frequency-domain techniques; integrator stabilisation; integrators; interpolation; multiple delays; output feedback stabilization problems; pole placement idea; proportional+delay compensators; Computer science; Delay systems; High-speed networks; Interpolation; Oscillators; Output feedback; Proportional control; Stability; State feedback; Delay; integrator; interpolation; pole placement;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.828326