LMI-Based Design of Output Robust Controller with Static Anti-Windup

The article discusses the development of a robust algorithm for controlling the system output in the presence of restrictions on the input signals. The nominal controller contains an integral component to compensate for the external disturbance. Undesired effects of saturation of the input signals are compensated by the static anti-windup correction sheme. An approach is proposed for adjusting the coefficient of anti-windup correction based on the tools of linear matrix inequalities. The effectiveness of the proposed approach is illustrated by the example of an autopilot system by surface vessel.