System Control

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,
• the order,
• and monitoring (diagnostics) of dynamic systems.

The aim of this course is the frequency synthesis of controllers, based on a dynamic model of the systems, responding to constraints imposed by a specification. The dynamic models considered in this course are linear, continuous and monovariable. The types of controller considered in this course are as follows

• Proportional (P),
• Proportional Integral (PI),
• Proportional Derivative Filtered (PDF),
• Proportional Integral Derivative Filtered (PIDF).

Skills developed through this module :

• Use mathematical and physical tools in an embedded systems engineering context - level 2

Mathematical prerequisites :

• Calculating the roots of a polynomial of order 2
• Bypass
• Taylor series development to order 1
• Handling complex numbers (modulus, argument)
• Laplace transform and its properties
• Matrix writing and simple matrix product

Semester 6 automatic prerequisites :

• Frequency representation of linear systems (Bode, Nichols and Nyquist diagrams)
• Handling transfer functions (sums, products, calculation of gain or argument)
• Handling block diagrams

Available on Moodle :

• Updated PDF version of course slides 
• Detailed answers to exercises covered in class
• MATLAB-Simulink self-study booklet
• MATLAB demonstration applications