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AUTOMATIC CONTROL SYSTEMS
a.y. 2016-2017 Laurea Magistrale in Ingegneria Energetica |
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Instructor |
Prof. Luca Schenato
Phone: 049 827 7925
Office: 315 DEI/A
E-mail: 
( NO
luca.schenato@dei.unipd.it !!!!)
Webpage: http://automatica.dei.unipd.it/people/schenato.html
Office hours: appointment by
email or phone
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Description |
- Mathematical modeling of dynamical systems
- Definitions and mathematical model classes for dynamical systems
- Linearization around working points
- Relevant signal models, convolution, Laplace Transform and Inverse Laplace Transform
- Linear time invariant dynamical systems (LTI): reppresentations, free responce, forced responce
- BIBO stability, Cartesio criterion, Routh's criterion
- Transient and stationary responce to step, impulse and sinuisoidal inputs
- Relevant LTI systems: I and II order systems
- Feedback systems: Nyquist diagram and Nyquist criterion
- Frequency domain control: PID controllers
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Lectures |
Each lecture references the specific textbook sections
| Week |
MONDAY (10:30-12:30 classroom M3) |
WEDNESDAY (10:30-12:15 classroom M7) |
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1 (26-8/09) |
Class Introduction (Slides)
Motivations [FPE Chapter 1, Examples in Cap 2: example 2.1, 2.5, 2.11 ] |
no lecture | |
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2 (3-5/10) |
Mathematical Preliminaries: complex numbers, polynomials, rational functions, delta functions, causal signals, convolution. |
Linearization. Laplace Transform and its properties: Part I |
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3 (10-12/10) |
MATLAB/SIMULINK Tutorial I |
Laplace Transform and its properties: Part I |
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4 (17-19/10) |
Fractional representazion of (proper) rational fucntions | Relation between Laplace Transform and LTI dynamical systems: transfer fucntion, natural response, forced response | |
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5 (24-26/10) |
no lecture |
no lecture |
Thursday 12:30-14:15 Examples of transfer fucntions |
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6 (31/11-2/11) |
no lecture |
Stability for LTI systems: asyptotic and BIBO. Comments on stability determination. Examples. |
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7 (7-11/11) |
Stable LTI systems: transient response, steady state response. Steady-state reponse for step, sinusoidal, and periodic inputs |
Evans and Bode representation of t.f. Introduction to Bode diagrams |
Thursday 12:30-14:15 Bode Diagrams: drawing roles and asymptotic diagrams |
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8 (14-16/11) |
Bode Diagrams: examples |
Nyquist diagrams: definition |
Wednesday 14:30-16:00 MATLAB-SIMULINK Tutoria II |
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9 (21-23/11) |
Nyquist diagrams: examples | II order systems & closed loop systems: time domain vs frequency domain |
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10 (28-30/11) |
Nyquist criterion: restricted and general |
Nyquist criterion: examples |
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11 (5-7/12) |
PID controller: structure |
PID controller: I, P, PI, PD desing |
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12 (12-14/12) |
PID controller: PID full design & model reduction |
PID controller: examples |
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13 (19-21/01) |
no lecture | PID controllers: examples |
MATLAB SIMILINK: Tutorial III |
| 14 (16-19/01) | Preparation for the final exam |
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Materiale |
Official textbook:
- [FPE] G.F. Franklin, J.D. Powell, Emami-Naeini, Feedback Control of Dynamical Systems, Pearson, Prentice Hall, Fifth Edition, 2006.
Side tectbook:
- [BV] Mauro Bisiacco, Maria Elena Valcher, Controlli Automatici, Edizioni Libreria Progetto, Padova 2008
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Control Problems |
- TBD