Dynamic anti-windup synthesis for state delayed systems: an LMI approach

This paper addresses the dynamic anti-windup synthesis problem for state delayed linear control systems subject to saturating inputs. Based on the Projection Lemma and on a modified sector condition, it is shown that the rational full-order compensator synthesis problem is convex. The computation of the anti-windup compensator aiming at ensuring both ℒ
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input-to-state stability and internal stability of the closed-loop system are carried out from the solution of linear matrix inequalities (LMIs). In this sense, results both in local (regional) an global contexts of stability are provided.