- Docente: Michelangelo Bin
- Credits: 6
- SSD: ING-INF/04
- Language: Italian
- Moduli: Michelangelo Bin (Modulo 1) Michelangelo Bin (Modulo 2)
- Teaching Mode: In-person learning (entirely or partially) (Modulo 1); In-person learning (entirely or partially) (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Engineering Management (cod. 0925)
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from Feb 19, 2026 to Apr 10, 2026
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from Apr 16, 2026 to Jun 05, 2026
Learning outcomes
To provide the fundamental methodological and operational tools for the use of mathematical models to analyze and design control systems.
Course contents
Module 1:
Introduction to automatic control. Control problems. Open-loop and Closed-loop (feedback) control.
Systems. Systems as relations. State-space modeling of dynamical systems. System classification.
Stability theory. Trajectories, equilibria, and equilibrium pairs. Internal and external stability.
Linear time-invariant (LTI) systems. Closed-form solution. Superposition principle. Free and forced response. Natural modes. Stability for LTI systems. Linear approximation of nonlinear systems.
Stabilization and regulation. Stabilization via state feedback. Introduction to regulation.
Module 2:
Transfer functions. Laplace transform. Transfer functions. Heaviside expansion.
Response of elementary systems. step response of first- and second-order systems. Settling time and overshoot. Mapping time-domain specifications onto the complex plane. Dominant poles. Effects of zeros.
Frequency domain analysis of LTI systems. Fourier series and Fourier transform. Frequency response of an LTI system. Bode plots. Blocking zeros and resonance.
Stability of feedback systems. Output-feedback regulation. Sensitivity functions. Phase margin. Bode criterion.
Performance of feedback systems. Mapping static and dynamic specifications to the loop function. Loop shaping.
PID controllers. Structure and analysis. Realization in the time domain. Elements of digital implementation.
Readings/Bibliography
Bolzern, Scattolini, Schiavoni, Fondamenti di Controlli Automatici, McGraw-Hill, 2015 (4° ed)
Teaching methods
Traditional frontal lectures
Assessment methods
Oral examination
Office hours
See the website of Michelangelo Bin