Automatic

This 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. The student will learn to analyze these systems, to synthesize continuous and discrete control laws to accurately control the output quantity. These courses are accompanied by tutorials in order to deepen and master the concepts covered in the course. Practical work is also included in this course in order to put into practice the notions of the course, to realize the difference between theory and practice and finally to improve the technical skills of the student. 

• To teach the student to determine the characteristics of an analog/digital system by performing time and frequency analysis (order, class, static gain, response time, natural pulsation, damping, overshoot, rise time, stability criteria, accuracy)
• To teach the student the techniques of synthesis of continuous system correctors (PID, phase advance and delay) and the transposition of these correctors into digital form
• Teach the student the synthesis of the numerical correctors (Zdan)
• To teach the student the techniques of calibration and identification of delay systems

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

Knowledge control: written exam + practical work

Coefficient of the written exam : 70

Coefficient of practical work : 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.