First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
INP7080037, A.A. 2018/19

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
IN0528, Degree course structure A.Y. 2014/15, A.Y. 2018/19
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination MODERN CONTROL FOR ENERGY SYSTEMS
Website of the academic structure
Department of reference Department of Industrial Engineering
E-Learning website
Mandatory attendance No
Language of instruction English
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge ALESSANDRO BEGHI ING-INF/04

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 of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 01/10/2018
End of activities 18/01/2019
Show course schedule 2019/20 Reg.2014 course timetable

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)
1 A.A. 2017/18 01/10/2017 30/11/2018 SCHENATO LUCA (Presidente)
CARLI RUGGERO (Membro Effettivo)

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, Euler’s formula,..)
Target skills and knowledge: 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: Written exam (3 hours)
Oral exam (optional upon request of the student)
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: - Modeling: Descriptions and derivation of mathematical models for thermal, energy and hydraulic systems using differential equations with concrete examples: heat exchangers, hydraulic pumps and valves, temperature control, fluid level control in tanks.
- Introduction to MATLAB and SIMULINK for Control Systems
- State-space representation of dynamical systems: linear and non-linear, modal analysis, forced and natural responses, transient and steady-state behaviour
- Stability of dynamical systems: equilibrium points, Lypunov functions
- Linearization about equilibrium points
- Laplace transform and its properties'. Transfer function. Inverse Laplace Transform.
- Representation SISO LTI systems: differential equations, transfer function, impulse response.
- Time-domain analysis of LTI systems: raising time, overshoot, and connections with Bode diagrams
- Bode plot: definition of resonance frequency, the resonance peak, bandwidth.
- Nyquist plot: open loop and closed loop. Nyquist criterion to establish stability, vector error, phase margin, gain margin.
-PID controllers: considerations on the choice of actions, design of controllers P, PI, PD, PID using frequency domain approach
- Application of the previous mathematical tools for the design of control systems for energy systems and validation using Matlab/SImulink
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. Few MATLAB/Simulink laboratories for numerical analysis of dynamical systems
Additional notes about suggested reading: The main material is based on the lecture notes, PDF notes provided by the instructor and textbook.
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: Cerca nel catalogo