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Every stabilizing dead-time controller has an observer-predictor-based structure. (English) Zbl 1039.93026

The stabilization problem for systems with a single time-delay in the feedback loop is considered. Two state-space parametrizations of the set of all stabilizing dead-time controllers are derived. It is shown that every stabilizing dead-time controller has an observer-predictor-based structure and that the state prediction is a fundamental concept for delay systems.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93D15 Stabilization of systems by feedback
93C23 Control/observation systems governed by functional-differential equations
93B07 Observability
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