The transfer function of a process unit in a resource company is described by the first order plus delay model: G(s) = 0.5/s + 1 * e^-6s 

Design a PID controller to control this time delay system. Since there is an approximation used to approximate the time delay and there is a difference between the design model and the actual plant, we may need to adjust the desired closed-loop performance in order to obtain stable closed-loop control system. You may start with all desired closed-loop poles positioned at the plant pole −1, then simulate the closed-loop response with unit step set-point signal by suitably choosing the sampling interval and simulation time. If the closed-loop system is oscillatory or unstable, then you reduce the magnitude of the poles by half, and repeat the design and simulation, until you get the stable closed-loop system with fastest response possible yet without oscillation. You may use the pole-zero cancellation technique to simplify the computation.