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This paper describes a controller design method for time delay systems. Conventional design methods based on the Lyapunov-Krasovskii stability theorem may be conservative be cause 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 considering frequency-dependent perfor mance.

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This paper describes stability analysis and a stabilizing control design for a system with time delay. A delay often occurs when the transmission path includes a computer network. For a time delay, the stability analysis in the frequency domain approach is not sufficient; thus, stability analysis in the time domain is required and typical method is based on the Lyapunov-Krasovskii functional (LKF). This paper describes stability analysis and the design of stabilizing controllers based on various types of LKFs. The paper also describes a model-based control for a system with time delay and it resolves the issue on the communication disturbance observer (CDOB), which generates steady state error if there exists model error. Results of experiments conducted on a DC motor are shown and they confirmed the validity of the proposed model based control method.