Discrete systems

- Use mathematical tools related to discrete signals and systems
- Determine the continuous equivalent of a discrete system and vice versa
- Analyze the stability of a discrete system
- Synthesize a discrete controller

Course AU210 Systems Control

Preliminary tools
Transformations of continuous - discrete Some useful time sequences
Spectrum of a signal and Shannon's theorem
Discrete stationary linear dynamic systems
Z-transform
Transfer functions in z
Exercises


Relationship between continuous and discrete systems discrete systems
Problematic
Equivalence to derivation
Equivalence to integration
Equivalence of a composition of several systems Stability of discrete systems
Pole localization and dynamics of a discrete system
Exercises
Servo control of a continuous system by a discrete control law


Synthesis of discrete control laws
Considered closed-loop control scheme
0-order blocker model and discrete system seen from the controller
Exercises


Synthesis of discrete control laws
Introduction
Choice of sampling period
Discretization of a continuous-time controller
Digital precautionary measures
Summary for obtaining a discrete controller
Exercises

Automation is generally known as the discipline dealing with the control of dynamic systems, but more broadly it is also concerned with

modeling,
identification,
analysis,
control,
and the monitoring (diagnosis) of dynamic systems.

Updated PDF and paper versions of course slides
Detailed answer keys to exercises covered in the course MATLAB-Simulink self-study booklet