Synthesis of anti-windup loops for enlarging the stability region of time-delay systems with saturating inputs

This paper focus on the study and the characterization of regions of stability for linear systems with delayed states and subject to input saturation through anti-windup strategies. In particular, the synthesis of anti-windup gains in order to guarantee the stability of the closed-loop system for a region of admissible initial states as large as possible is addressed. Based on the modeling of the closed-loop system, resulting from the controller plus the anti-windup loop, as a linear time-delay system with a deadzone nonlinearity, stability conditions are stated for both the delay independent and delay dependent contexts by using quadratic functionals.