This paper considers the stabilization problem for linear time-invariant (LTI) systems with a single delay h in the feedback loop. Two parametrizations of all stabilizing controllers are derived in terms of a state-space realization of the rational part of the plant. These parametrizations have simple structures and clear interpretations: the first is in the form of a generalized dead-time compensator (Smith predictor) and the second is in the observer-predictor form. Applications of the proposed parametrization to the H 2 optimization and the robust stabilization problems are discussed.

This 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 H2 control and robust stabilization are discussed.

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