Automatic

This teaching unit is devoted to the study of continuous and discrete linear time-invariant systems. This study will be conducted solely on single-variable systems with a single input and a single output. Students will learn to analyze these systems and synthesize continuous and discrete control laws to precisely control the output variable. These lectures are accompanied by tutorials to deepen and master the concepts covered in the course. Practical work is also included in this teaching unit in order to put the concepts of the course into practice, to realize the difference between theory and practice, and ultimately to improve the student's technical skills. 

• Teach students to determine the characteristics of an analog/digital system by performing time and frequency analyses (order, class, static gain, response time, natural frequency, damping, overshoot, rise time, stability criteria, accuracy).
• Teach students the synthesis techniques for continuous-time controllers (PID, phase advance and phase delay) and the transposition of these controllers into digital form.
• Teaching students how to use digital proofreaders (Zdan)
• Teach students calibration and identification techniques for delay systems.

Techniques for solving differential equations; Laplace transform; Z transform

Assessment: written exam + practical work

Written exam coefficient: 70%

Practical work coefficient: 30%

Viorel Minzu and Bernard Lang, "Automatic Control of Continuous Linear Systems," Technosup, 2001

Maurice Bellanger, "Digital Signal Processing," 9th edition, Sciences Sup, Dunod, November 2012.