Delayed State Feedback Controller for the Stabilization of Ordinary Systems

In this paper, the delayed state feedback controller(DSFC) for linear multivarible ordinary systems is presented in which distributed delays are included in the feedback loop. Some specific methods to design this type of controller are suggested. It will be shown that, by the appropriate use of the time delay, the proposed delayed state feedback controller may possess some useful advantages of proportional, integral, and derivative actions. It will also shown that when the DSFC is composed of the LQ regulator gain added with distributed delay states, the property of the disturbance attenuation and the robustness against the parameter variations may be more improved than the popular LQ regulator for ordinary systems. Possibilities of the improvement of the time delay margin and the transient behavior are also discussed.