This course introduces the concepts of system modeling, analysis and control and presents some key facts and methods of system control theory. Specifically, the course focuses on the definition of system, its open-loop modeling and its simulation, as prerequisites for controller design. To this end, the necessary mathematical tools for obtaining physics-based representations of linear systems are presented, along with useful methods for analyzing open-loop system dynamics in both time- and frequency- domains.
- The system definition, the concept of block diagram representations, some basic facts of open- and closed-loop representations and the objectives of (and prerequisites for) system control.
- Physics-based system modeling and representation in the time-domain: Methods for modeling electrical, mechanical and, in general, complex technical systems, electric circuit analogs and simulation.
- System modeling in the frequency-domain, Laplace transform, transfer function of open-loop and closed-loop systems and general rules for the derivation of transfer functions for applications with multiple subsystems.
- Time response of systems, part I: The concept of poles, zeros damping ratio and natural frequency, inverse Laplace transform, partial fraction expansion.
- Time response of systems, part II: Basic facts on the time response of first- and second-order systems’.
- Frequency-domain analysis of systems using Bode plots and their asymptotic approximations, introduction to Nyquist plots.