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The problem of stabilization of a linear system characterized by its rational transfer function, with an input time delay, by a rational controller, is considered. If the delay is not known at all (its interval is infinite), the necessary and sufficient condition for the existence of a rational controller is stability of the open-loop rational plant. Moreover, the existence of a rational stabilizing...
A computationally tractable design method is presented, which explicitly yields the entire set of all constant-gain controllers which robustly stabilize a family of systems with uncertainty. A desired optimal controller may then be selected from the feasible set. The method applies to the class of systems where a delay element e -hs with interval (finite or infinite) uncertainty...
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