Output feedback preview tracking control for time‐varying polytopic descriptor systems

Abstract

SummaryThis paper focuses on the problem of static output feedback preview tracking control for discrete‐time descriptor systems with time‐varying parameters subject to a previewable reference signal. First, an augmented error system including the information of the future reference signal is constructed based on the error system approach. Second, a preview control policy is constructed by integrating output feedback, preview action, and integral operation. Relying on the augmentation modeling technique, a linear preview control design problem is transformed into an equivalent augmented output‐feedback control design problem. New design conditions guaranteeing the existence of a stabilizing controller are recast as an LMI‐based feasibility problem. The proposed preview controller design method requires neither special constraints on the state‐space system matrices nor a high‐dimensional augmented error system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.