Synthesis of PD-type anti-windup compensators for LTI systems with asymmetric input saturation

This research is intended as an investigation of the synthesis of proportional-derivative-(PD-)type anti-windup compensators (PD-AWCs) for linear time-invariant (LTI) systems with asymmetric input saturation. The anti-windup control system is represented by using symmetric input saturation and introducing two vectors concerning the saturation nonlinearity in the control system. The problem of synthesizing PD-AWC is formulated as a linear matrix inequality (LMI) one. The effectiveness of the proposed synthesis method is confirmed by a numerical example.