Stabilizing a chain of integrators using multiple delays |
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Authors: | Niculescu S.-I. Michiels W. |
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Affiliation: | Centre de Recherche de R.lieu, Univ. de Technol. de Compiegne, France; |
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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. |
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