Classic P, PI, PD and PID controllers: Analysis and Synthesis using the Root Locus Method

The aim of this work is to discuss the types of response of a hypothetical third-order zero-type plant with a reference input to the system.Based on the system's open-loop transfer function equation specified by the teacher, simulations will be carried out for four different types of controllers: P, PD, PI and PID. A unit step input is applied to these different systems and the different responses are recorded and interpreted.In the case of PI and PID controllers, responses to a ramp-type input will also be analyzed. In addition, we will look at varying the location of the poles in order to obtain the "optimum response" parameters for the hypothetical plant.