Control of Continuous and Discrete-Time Linear Systems

The aim is to learn and master the methodology for synthesizing a PIDF conitnu time and discrete time controller.
The plan is as follows:
1- Introduction, control objectives
2- Synthesis of a PIDF controller
2.1- Principle
2.2- Proportional control
2.3- Proportional Integral (PI) control
2.4- Proportional Derivative (PD) control
2.5- PIDF control
3- Reminder on Sampled Signals
3.1 - Definition
3.2- Samplers
3.3- Laplace transform of sampled signals
3.4- Z-transform of a sequence of samples
3.5- Properties of sampled signals
4- Frequency response of a sampled system
5- Choice of sampling frequency
6- Discrete-time control
6.1 - Introduction
6.2- Schematic diagram
6.3- Study diagram
6.4- Discrete-time control
7- Frequency synthesis of a discrete controller
7.1 - Synthesis using the Delta approximation
Definition, Methodology, Example
7.2- Synthesis using the Bilinear Transform
Definition, Methodology, Example
7.3- Synthesis using the Tustin Transform
Definition, Methodology, Example
8- Implementation of a digital controller
Examples / TD

Prerequisites are knowledge of module AU103 of Semester 6.

Automatic