Digital redesign of state-delayed systems counting the computer-control delay via law of mean

This paper presents a new approach for digital redesign of the continuous-time state-delayed system with the state-feedback controller. The bilinear approximation method together with the linear interpolation is utilized to approximate some integration functions, and the concept of the Law of Mean from the integral calculus is applied to establish an equivalent state-feedback digital controller from the available state-feedback analog controller. In addition, for practical implementation of the developed digital controller by a microcomputer, the computation time delay of the digitally redesigned control law is considered and equivalently modeled at the input, and then a digital predictor controller is proposed for the sampled-data state-delayed system with the control delay.