Stabilizing dead-beat controllers for two classes of Wiener-Hammerstein systems

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.