Automatic

This course is devoted to the study of time-invariant continuous and discrete linear systems. This study will focus exclusively on single-variable systems with a single input and a single output. Students will learn to analyze these systems and to synthesize continuous and discrete control laws to precisely control the output variable. These lectures are supplemented by tutorials designed to deepen students’ understanding and mastery of the concepts covered in class. Laboratory sessions are also included in this course to allow students to apply the concepts learned in class, recognize the difference between theory and practice, and ultimately improve their technical skills. 

• Teach students to determine the characteristics of an analog/digital system by performing time-domain and frequency-domain analyses (order, class, static gain, response time, natural frequency, damping, overshoot, rise time, stability criteria, accuracy)
• Teach students the techniques for synthesizing controllers for continuous-time systems (PID, phase lead, and phase lag) and how to convert these controllers to digital form
• Teach students about digital corrector synthesis (Zdan)
• Teach students techniques for calibrating and identifying delay systems

Techniques for Solving Differential Equations; Laplace Transform; Z-Transform

Assessment: written exam + practical assignments

Weight of the written exam: 70%

Practical Work Weight: 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.