Static anti-windup compensator for nonlinear systems with both state and input time-varying delays

Abstract In this work, the design on static anti-windup compensator (SAWC) for a class of nonlinear systems with saturation constraint is presented, in which both state time-varying delay and input one are involved. First, by utilizing an augmented Lyapunov–Krasovskii functional (LKF), sector condition, and L 2 gain reduction for exogenous input, a sufficient condition on local stability is presented in terms of linear matrix inequalities (LMIs), which is later extended to the global stability issue. During the discussions, an improved dynamical Lyapunov method is initially proposed and it can fully utilize the individual and mutual information on both state and input delays. Especially, some effective techniques are utilized to given more tighter estimations on the LKF’s derivatives. In all, these treatments above can result in much less conservatism. Finally, some comparisons and simulations are presented in two numerical examples under the proposed SAWC.