28527 - Automatic Controls T-1

Learning outcomes

The aim of this course is to provide competencies and methodologies for the mathematical modelling and simulation of dynamic systems and their analysis in both the time and frequency domain. In particular, the state-space approach is treated over various physical domains: electrical, mechanical, electromechanical, hydraulic, thermal. The analysis in the time/frequency domains will be based on the Laplace/Fourier transforms.

Course contents

Systems and models. Mathematical models as approximation of reality: concept of competent model. Simulation. Modelling and identification. Classification of models. State-space models: linear, non linear, time-invariant. Equilibrium and stability. Linearization.  Lyapunov criteria. Constructing state-space models of dynamic systems belonging to different physical domains: electrical, mechanical, electromechanical, hydraulic, thermal.  Analysis of linear and time-invariant systems: the Laplace transform. The matrix exponential. Responses of  first and second order systems. Transfer functions and state-space models. Block diagrams. Analysis in the frequency domain: Fourier series, Fourier transforms, the harmonic response function. Bode diagrams. Analysis of linear discrete-time systems: the Zeta transform. A brief outline of the numerical solution of differential equations. Introduction to Matlab, Simulink and Control System Toolbox.

Readings/Bibliography

Course slides.

Teaching methods

Traditional lectures.

Assessment methods

The final evaluation is based on written and oral examinations.

Teaching tools

Video projector.

Course website:  http://sting.deis.unibo.it/sting/Members/diversi/Controlli_T1.htm

Links to further information

http://sting.deis.unibo.it/sting/Members/diversi/Controlli_T1.htm

Office hours

See the website of Roberto Diversi