Politecnico di Torino
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Politecnico di Torino
Academic Year 2010/11
18AKSNX
Automatic control
1st degree and Bachelor-level of the Bologna process in Electronic Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
SSD CFU Activities Area context
ING-INF/04 10 B - Caratterizzanti Ingegneria dell'automazione
Subject fundamentals
- Knowledge of the concept of dynamical system together with its mathematical representations such as state equations and transfer functions
- Skill in deriving mathematical models of linear dynamical systems
- Skill in computing the solution of the system state equations
- To evaluate the behaviour of a dynamical system through numeric simulation
- Knowledge of structural properties (stability, reachability, observability) of dynamical systemes
- Skill in studying the structural properties
- Knowledge of the concept of feedback control of dynamical systems
- Skill in designing simple feedback controller via (estimated) state feedback
- Knowledge of the main performance requirements of feedback systems
- Knowledge of the main feedback system analysis techniques based on sinusoidal tools
- Skill in analyzing stability and performance of feedback control systems
- Knowledge of the design techniques of feedback controllers based on lead and lag functions
- Skill in designing feedback controllers for single input single output systems through lead and lag functions
- Knowledge of industrial controllers (PID / PLC) and the relevant design techniques
- Knowledge of sampled data control systems and realization through digital filters
- Skill in designing sampled data control systems
- To evaluate the behaviour and performance of controlled systems through numerical simulation
- To evaluate the behaviour and performance of controlled systems through simple didactic experiments
Expected learning outcomes
- Knowledge of the concept of dynamical system together with its mathematical representations such as state equations and transfer functions
- Skill in deriving mathematical models of linear dynamical systems
- Skill in computing the solution of the system state equations
- To evaluate the behaviour of a dynamical system through numeric simulation
- Knowledge of structural properties (stability, reachability, observability) of dynamical systemes
- Skill in studying the structural properties
- Knowledge of the concept of feedback control of dynamical systems
- Skill in designing simple feedback controller via (estimated) state feedback
- Knowledge of the main performance requirements of feedback systems
- Knowledge of the main feedback system analysis techniques based on sinusoidal tools
- Skill in analyzing stability and performance of feedback control systems
- Knowledge of the design techniques of feedback controllers based on lead and lag functions
- Skill in designing feedback controllers for single input single output systems through lead and lag functions
- Knowledge of industrial controllers (PID / PLC) and the relevant design techniques
- Knowledge of sampled data control systems and realization through digital filters
- Skill in designing sampled data control systems
- To evaluate the behaviour and performance of controlled systems through numerical simulation
- To evaluate the behaviour and performance of controlled systems through simple didactic experiments
Prerequisites / Assumed knowledge
Requirements: differential and integral calculus of vector valued real functions, basic concepts of physics (mechanics, electric circuits, '), complex numbers, complex functions, Laplace transform, real rational functions, linear algebra, basic skill of Matlab.
Contents
Course topics and relevant credits
- Introduction to dynamical systems. Modeling and state space description of electrical, mechanical and electromechanical systems. (1 cr)
- Solution of state equations, modal analysis and stability of linear systems. (1,5 cr)
- Reachability and observability, control through feedback of the estimated states. (1,0 cr)
- Introduction to Output feedback control. Block algebra. (0,5 cr)
- Bode, polar, Nyquist and Nichols diagrams. Nyquist stability criterion. Stability margins (1,5 cr)
- Feedback systems response in face of polynomial inputs; steady state tracking errors, disturbance attenuation and rejection. Time and frequency response of first and second order systems. Feedback systems performance: transient and steady state. (1,5 cr)
- Control design by means of sinusoidal tools and using lead and lag functions (1,5 cr)
- Analysis and design of sampled data control systems. Industrial controllers (PID, PLC). (1,5 cr)
Delivery modes

Exercise sessions are centered on the development academic and applicative examples. Some sessions will be carried out in computer laboratory by means of Matlab tools (Control system toolbox, Simulink). In laboratory practice design and implementation of control laws will be performed on real systems (magnetic levitator, electric motor), students will work in groups.
Texts, readings, handouts and other learning resources
Textbooks
P. Bolzern, R. Scattolini, N. Schiavoni, Fondamenti di controlli automatici, Ed. McGraw-Hill Libri Italia, Milano, 3a edizione, 2008
G. Calafiore, Elementi di Automatica, CLUT, Torino, 2004
A. Isidori, Sistemi di Controllo ' Vol. Primo, Ediz. Scientifiche Siderea, Roma, 1992. II ediz.
Lecture slides will be available as well as laboratory practice handouts
Assessment and grading criteria
Written examination and evaluation of the laboratory practice

Programma definitivo per l'A.A.2010/11
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