Design of an Anti-windup Dynamic Quantizer for a Discrete-valued Input Control System

Abstract

This paper discusses a design method for controlling a discrete-valued input system with dynamic quantizer, where the control input is saturated. In such a control system, the control input can be excessive because of the dynamics of the quantizer. Therefore, an anti-windup compensator is designed by solving a linear matrix inequality equivalent to robust stability condition for input saturation error. Finally, numerical examples are shown to demonstrate the validity of the proposed method.