A dynamic output feedback controller for NCS based on delay estimates

The stabilization of a network controlled system including a global time-varying delay is investigated in this note. This delay is considered to be unknown but it is assumed that a bounded error estimate is available. The exponential uncertainty induced by the time-varying delay is decomposed into the sum of a polytopic term and an uncertain bounded term. Sufficient conditions to design a dynamic output feedback controller depending on an estimate of the time-varying delay are proposed as linear matrix inequalities. An illustration shows how our methodology enlarges the design techniques of the literature.