LMI-based multivariable anti-windup controller synthesis using dynamic compensator

A novel dynamic feedback compensator synthesis was proposed for the saturated system. By recovering the original goal of the unified anti-windup framework, it enabled the development of systematic procedures to choose parameters for the compensator. The anti-windup controller is characterized the performance of the anti-windup augmentation by the L₂ norm of the deviation between the controller output and the plant input, as well as to guarantee the stability of the system based on the unified framework. These could be deduced into the form of LMIs, from which the parameters are obtained to construct the anti-windup controller directly. The effectiveness of the proposed method was shown via a simulation example by comparing the results to other existing anti-windup techniques.