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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 |
Scientific-Disciplinary Sector |
Credits allocated |
Educational activities in elective or integrative disciplines |
ING-INF/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 |
3 A.A. 2019/2020 |
01/10/2019 |
30/11/2020 |
BEGHI
ALESSANDRO
(Presidente)
CARLI
RUGGERO
(Membro Effettivo)
CENEDESE
ANGELO
(Supplente)
CHIUSO
ALESSANDRO
(Supplente)
SUSTO
GIAN ANTONIO
(Supplente)
VALCHER
MARIA ELENA
(Supplente)
ZAMPIERI
SANDRO
(Supplente)
ZORZI
MATTIA
(Supplente)
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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)
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Prerequisites:
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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, Euler’s formula,..) |
Target skills and knowledge:
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Ability to derive a mathematical model of a physical system in terms of continuous-time 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:
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Written exam (2.5 hours) |
Assessment criteria:
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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:
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- Representation of SISO LTI systems: differential equations, transfer function, impulse response.
- Laplace transform and its properties'. Transfer function. Inverse Laplace Transform.
- State-space representation of dynamical systems: linear and non-linear
- 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
- Time-domain 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:
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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:
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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) |
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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
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Franklin, Gene F.; Powell, David J., Feedback control of dynamic systems. New York: Pearson, 2019.
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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
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