Delay Dependent Anti-windup Synthesis for Time-varying Delay Systems with Saturating Actuators

The synthesis of an anti-windup compensator for systems with time-varying delays is solved in this paper. More precisely, LMI conditions are proposed that guarantee the stability of the closedloop system, with a enlarged domain of attraction. An ellipsoid and a polyhedral set are used to bound this domain of attraction, making possible to derive a new sector condition. In addition, an algorithm is provided to optimize the anti-windup gain, reducing the conservatism. Numerical examples illustrate the effectiveness of our methodology, which improves previous works.