Liang Lu

TL;DR: For a group of linear systems, each under a saturated linear, not necessarily stabilizing, feedback law, the problem of designing such a switching scheme as a constrained optimization problem with the objective of maximizing an estimate of the domain of attraction is solved.

TL;DR: The resulting domain of attraction is expected to be significantly larger than the one resulting from a single anti-windup gain and a single Lyapunov function, and simulation results demonstrate such a significant improvement.

TL;DR: This paper proposes a switching anti-windup design, which aims to enlarge the domain of attraction of the closed-loop system and allows the union of the level sets of the multiple Lyapunov functions to be contractively invariant and within thedomain of attraction.

TL;DR: This technical note revisits the problem of designing a static anti-windup gain for enlarging the domain of attraction of the resulting closed-loop system by utilizing a composite quadratic Lyapunov function, and an existing LMI based design algorithm is enhanced to result in a nonlinear, possibly continuous, anti-Windup gain.

TL;DR: In this paper, the authors revisited the problem of designing a static anti-windup gain for enlarging the domain of attraction of the resulting closed-loop system by utilizing a composite quadratic Lyapunov function, which was originally proposed to study the stabilization problem for linear systems under actuator saturation.