Synthesis of a Static Anti-Windup Compensator for Systems with Magnitude and Rate Limited Actuators

Abstract

In this paper, we propose a design method of a static anti-windup compensator for systems with input magnitude and rate saturations. First, we present an anti-windup controller for systems with input magnitude and rate saturations. Then, we show that the design problem of the anti-windup compensator that guarantees the local stability of the closed-loop system against saturation nonlinearities and optimizes the robust control performance during the saturation period can be reduced to a linear matrix inequality (LMI) problem.