
Course unit
MODERN CONTROL FOR ENERGY SYSTEMS
INP7080037, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Educational activities in elective or integrative disciplines 
INGINF/04 
Automatics 
6.0 
Course unit organization
Period 
First semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
2 A.A. 2018/19 
01/10/2018 
30/11/2019 
BEGHI
ALESSANDRO
(Presidente)
CARLI
RUGGERO
(Membro Effettivo)
CENEDESE
ANGELO
(Supplente)
SUSTO
GIAN ANTONIO
(Supplente)
VALCHER
MARIA ELENA
(Supplente)
ZAMPIERI
SANDRO
(Supplente)

Prerequisites:

No specific requirements. Familiarity with fundamentals of linear algebra (matrix operations, eigenvalues and eigenvectors, base transformation, trace, determinant, inversion, exponential of matrix,..) and complex numbers (rectangular and polar representations, operations with complex numbers, Eulerâ€™s formula,..) 
Target skills and knowledge:

Ability to derive a mathematical model of a physical system in terms of continuoustime differential equations, in particular for thermal, energy and hydraulic systems.
Ability to understand the characteristics in time and frequency domains of general dynamic systems. Ability to determine operating equilibrium conditions. Linearization about equilibrium conditions. Ability to design a PID controller for linear dynamic systems SISO that meets the desired performance requirements. Particular emphasis will be placed on application of the mathematical tools to realistic energy systems and the use of simulative software tools such as Matlab and Simulink. 
Examination methods:

Written exam (2.5 hours) 
Assessment criteria:

The assessment of the preparation of the student will be based ' on his/her understanding of the topics, on the acquisition of concepts and methodologies proposed and the ability to apply them in an autonomous and knowledgeable way. 
Course unit contents:

 Representation of SISO LTI systems: differential equations, transfer function, impulse response.
 Laplace transform and its properties'. Transfer function. Inverse Laplace Transform.
 Statespace representation of dynamical systems: linear and nonlinear
 Introduction to Matlab/Simulink and the Control Systems Toolbox
 Stability of dynamical systems: equilibrium points
 Linearization about equilibrium points
 Modeling: Descriptions and derivation of mathematical models for thermal, energy and hydraulic systems using differential equations with examples
 Timedomain analysis of LTI systems: raising time, overshoot, settling time
 Bode plot: definition of resonance frequency, the resonance peak, bandwidth, connections with the time domain behaviour
 Properties of feedback systems
PID controllers: considerations on the choice of actions, design of controllers P, PI, PD, PID using frequency domain approach 
Planned learning activities and teaching methods:

Lectures on the black board which alternate between theory and examples and exercises in line with those required in the witten and oral exams. 
Additional notes about suggested reading:

The main material is based on the lecture notes, PDF notes provided by the instructor. The following textbooks can be used as complementary reading. 
Textbooks (and optional supplementary readings) 

Karl A. Astrom, Richard Murray, Feedback systems: an introduction for scientists and engineers Control of Dynamic Systems. : Prentice Hall, 2016. Available on line: http://www.cds.caltech.edu/~murray/mlswiki/?title=First_edition

Franklin, Gene F.; Powell, David J., Feedback control of dynamic systems. New York: Pearson, 2019.

Innovative teaching methods: Teaching and learning strategies
 Lecturing
 Use of online videos
 Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)
 Matlab

