Optimal regulation performance of discrete time‐delay systems based on quantization and input energy constraints

Abstract

AbstractIn this paper, we study the optimal regulation problem of networked control systems and propose a new performance index for a given discrete time‐delay system. The regulation performance of the controlled plant is investigated by considering the effects of various constraints on the communication channel such as quantization, bandwidth, and packet dropouts using frequency domain methods and two‐degree‐of‐freedom control techniques. The results show that the regulation performance is not only related to the location and direction of the non‐minimum phase zeros and unstable poles of a given system but also related to the internal time delay of the controlled plant. Packet dropouts, quantization, and bandwidth limitations can also negatively affect the optimal performance. In addition, the trade‐off of the input energy constraint can also make the optimal regulation performance suffer. Finally, the reliability of this innovative result is illustrated by some simulation examples.