5. Control of time-delay systems – Frequency-domain methods

We describe in this section frequency-domain methods and how they can be used for the control of time-delay systems. As before, the goal is not to be the most exhaustive possible but to give the authors a better idea of the different methods currently available. More details will be found in the references provided for completeness.

We will discuss first the design of PID controllers using loop-shaping methods, analytical design methods, algebraic/geometric methods and, finally using robust control methods, mirroring some of the stability analysis methods discussed in Section 3