Feedback control with signal transmission after-effects

In many practical systems, the physical plant, controller, sensor, and actuator are difficult to be located at the same place, and thus signals are required to be transmitted from one place to another. One immediate problem arising from such situations is that signals may exhibit after-effect phenomena during their transmission. In this paper, we present a new model to characterize the state-feedback control systems with signal transmission after-effects, which deals with the transmission after-effects from sensor to controller and from controller to actuator separately. Analysis and synthesis results based on this new model are established by using a Lyapunov-Krasovskii approach. Numerical simulations are provided to illustrate the usefulness of the theoretical results.