Reduced order dynamic controller synthesis conditions for LPV periodic discrete-time systems subject to input saturation

A method for the synthesis of reduced-order dynamic output-feedback controllers for periodic discrete-time LPV systems, subject to input saturations and external noises, is proposed in this paper. The controllers are designed to guarantee the robustness of the closed-loop system to exogenous noises, achieved through the minimization of a bound for the L-2 gain. The proposed method is based on a two-stage procedure, where a state-feedback gain is computed in the first stage and then applied on the second step to generate the desired controller. A third stage is then developed to synthesize an anti-windup compensation to deal with the input saturation, but since the controller is not fixed in this step, the control system dynamics can be redesigned to better aggregate the desired robustness to the external noises and input saturation, decreasing the conservativeness of the technique. The validity of the proposed method is validate through a numerical example. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.