Fractional order pid and first generation crone control system design

Abstract

This chapter presents the design of controllers for Single Input/Single Output (SISO) systems, that is to say only one signal to control only one measured output. The fractional order controller is presented as a generalization of the common PID controller. Then, it is shown how the first generation of the CRONE methodology is able to design robust controllers for a class of gain-like perturbed systems.