State-space parametrization of all stabilizing dead-time controllers

Abstract

The paper considers the stabilization problem for systems with a single delay h in the feedback loop. The state-space parametrizations of all stabilizing regulators are derived. These parametrizations have simple structures and clear interpretations. In particular, it is shown that every stabilizing controller consists of a delayed state observer, an h time units ahead predictor and a stabilizing state feedback. Applications of the proposed parametrization to the H/sup 2/ control and robust stabilization are discussed.