Communication Dans Un Congrès Année : 2003

Some Remarks on Stabilizing a Chain of Integrators Using Multiple Delays

Résumé

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.

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hal-02294780 , version 1 (23-09-2019)

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  • HAL Id : hal-02294780 , version 1

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Silviu-Iulian Niculescu, Wim Michiels. Some Remarks on Stabilizing a Chain of Integrators Using Multiple Delays. 2003 American Control Conference, Jun 2003, Denver, United States. pp.2664-2669. ⟨hal-02294780⟩
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