H∞ output feedback controller based on complete quadratic Lyapunov-Krasovskii functional for time delay systems

Abstract

This paper describes an output feedback controller design method based on a complete Lyapunov-Krasovskii functional for time delay systems. Conventional design methods based on the Lyapunov-Krasovskii stability theorem may be conservative because they choose the Lyapunov functional to achieve a sufficient condition. In addition, conventional H∞ performance design methods do not focus on the frequency property of a closed loop system; hence, it is difficult to obtain a controller that achieves the desired performance. This paper proposes a stabilizing condition based on a complete quadratic Lyapunov-Krasovskii functional and a controller design that considers the frequency-dependent performance.