Robust linear anti‐windup synthesis for recovery of unconstrained performance

Fixed order anti‐windup augmentation is addressed by considering the dynamics of the mismatch between the constrained and unconstrained responses. The method utilizes LMIs, and the result parallels other recent LMI‐based anti‐windup synthesis methods. Robustness is directly addressed—which is not done in previous LMI work on anti‐windup. An optimal LMI‐based synthesis procedure is provided for static and plant‐order linear anti‐windup augmentation and the performance of the resulting design strategy is shown via a simulation example.