Stabilizing Dead-Beat Controllers for Two Classes of Wiener-Hammerstein Systems

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Abstract

Two classes of block oriented models of Wiener-Hammerstein type are considered. We prove that a generic condition is sufficient for a null controllable system of this form to have a stabilizing minimum-time dead-beat controller. In case the condition is violated, we show how to design a non-minimum time stabilizing (dynamic) dead-beat controller. The result can be used to obtain stabilizability conditions for these systems, which are the same as the linear conditions: all uncontrollable modes should be stable.

Résumé

Pour deux classes de systèmes du type Wiener-Hammerstein, on démontre qu'une condition structurelle générique est suffisante pour construire un régulateur à réponse pile en temps minimum. Ce résultat permet de formuler des conditions de stabilisabilité identiques aux conditions linéaires : tous les modes non commandables doivent être stables.

Keywords

controllability
discrete-time
Wiener-Hammerstein systems
generalized Hammerstein systems
dead-beat
nonlinear
stabilizing

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