Frequency information based memory dynamic output feedback control for discrete‐time systems

Abstract

AbstractThis article studies the problem of frequency information based memory dynamic output feedback (MDOF) control for discrete‐time systems. A novel design method for MDOF controllers is proposed based on not only the current output measurements and controller states, but also useful past output measurements and controller states, which tend to be less conservative than conventional memoryless controllers. Sufficient conditions are derived to guarantee the asymptotic stability with finite frequency specifications of the closed loop system, and then MDOF controller synthesis results are obtained in the form of linear matrix inequalities, which include the conventional memoryless and/or non‐frequency information based control methods as their special cases. It is also proved that the control performance can be enhanced with the increase of the memory capacity of the MDOF controller. Finally, simulation studies are given to show the effectiveness and advantages of the proposed MDOF controller design method over the conventional memoryless and/or non‐frequency information control approaches.