Static anti-windup synthesis for linear systems with time-varying input delays

Flores Jeferson Vieira (1) , Joâo Manoel Gomes da Silva Gomes da Silva (1) , Alexandre Seuret (2)

1 UFRGS - Departamento de Engenharia Eletrica
2 NECS - Networked Controlled Systems

This article considers the design of an anti-windup compensator for linear systems subject to time-varying input delays and saturating actuators. Local and global stabilization conditions ensuring both external as well as internal stability of the closed-loop system are derived directly as linear matrix inequalities (LMIs). To compute the anti-windup gains, these conditions are cast into the following optimization problems: maximization of the set of admissible initial conditions, maximization of the bound of admissible L2 disturbances or the maximization of the L2-gain from the disturbance to the regulated output. Simulation examples are provided to illustrate the proposed solution.

Domaines: Automatique / Robotique

Flores Jeferson Vieira, Joâo Manoel Gomes da Silva Gomes da Silva, Alexandre Seuret. Static anti-windup synthesis for linear systems with time-varying input delays. IFAC WC 2011 - 18th IFAC World Congress, Aug 2011, Milan, Italy. pp.6. ⟨hal-00581651⟩