Automatic

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

• Teach the student to determine the characteristics of an analog/digital system through time and frequency analysis (order, class, static gain, response time, natural pulsation, damping, overshoot, rise time, stability criteria, accuracy).
• Teach the student the techniques for synthesizing continuous system correctors (PID, phase advance and phase delay) and how to transpose these correctors into digital form.
• Teaching students to synthesize digital correctors (Zdan)
• Teach students techniques for calibrating and identifying delay systems

Techniques for solving differential equations; Laplace transform; Z-transform

Assessment: written exam + practical work

Coefficient of written exam: 70%.

Coefficient for practical work: 30%.

Viorel Minzu and Bernard Lang, "Automatic control of continuous linear systems", Technosup, 2001

Maurice Bellanger, "Traitement numérique du signal", 9th edition, Sciences Sup, Dunod, November 2012.