MPŠ MP&Scaron MP&Scaron MP&Scaron Avtorji

Jožef Stefan
Postgraduate School

Jamova 39
SI-1000 Ljubljana

Phone: +386 1 477 31 00
Fax: +386 1 477 31 10


Course Description

Modelling of Dynamic Systems


Information and Communication Technologies, third-level study programme


doc. dr. Damir Vrančić


Course objectives:
• understanding dynamic system characteristics
• qualification for modeling linear and nonlinear dynamic systems and validation of models
• competence for work with simulation tools

• knowledge of basic concepts of dynamic systems
• knowledge of methods for modeling dynamic systems from data
• ability to use the identification and optimization algorithms
• the ability to use simulation tools


1. Introduction
• Introduction to systems
• Properties of dynamic systems
• Approaches to modelling dynamic systems
• Phases of process model dynamic system synthesis

2. Dynamic systems
• Typology of dynamical systems
• Linear dynamic systems
• Nonlinear dynamic systems
• Stohastic dynamic systems

3. Simulation of dynamic systems
• Basics of numeric integration
• Simulation of dynamic systems
• Tools for simulation of dynamic systems

4. Modelling of dynamic systems
• Methods of dynamic systems modelling
• Linear identification methods
• Nonlinear identification methods
• Optimisation of dynamic system model
• Models validation
• Examples of modelling in practice

Course literature:

S. Strmčnik and Đ. Juričić (Eds.) (2013). Case studies in Control – Putting Theory to Work. Springer
E. Cumberbatch and A. Fitt (2001). Mathematical Modelling: Case Studies from Industry. University Press, Cambridge.
Hangos, K.M. and I.T. Cameron (2001). Process Modelling and Model Analysis. Academic Press, London.
J. Kocijan (2016). Modelling and control of dynamic systems using Gaussian process models. Springer
E. Zauderer (2006). Partial Differential Equations of Applied Mathematics. Willey&Sons, New Jersey.
A. M. Law, W. D. Kelton (2000). Simulation modeling and analysis, McGraw-Hill.

Significant publications and references:

GLAVAN, Miha, GRADIŠAR, Dejan, INVITTO, Serena, HUMAR, Iztok, JURIČIĆ, Đani, PIANESE, Cesare, VRANČIĆ, Damir. Cost optimisation of supermarket refrigeration system with hybrid model. Applied thermal engineering, ISSN 1359-4311. [Print ed.], 2016, vol. 103, str. 56-66, doi: 10.1016/j.applthermaleng.2016.03.177. [COBISS.SI-ID 29455655],
VREČKO, Darko, DOLANC, Gregor, DOLENC, Boštjan, VRANČIĆ, Damir, PREGELJ, Boštjan, MARRA, Dario, SORRENTINO, Marco, PIANESE, Cesare, POHJORANTA, Antti, JURIČIĆ, Đani. Feedforwardf- feedback control of a SOFC power system : a simulation study. V: SINGHAL, Subhash C. (ur.), EGUCHI, K. (ur.). Papers presented at 14th International Symposium on Solid Oxide Fuel Cells, SOFC-XIV, July 26-31, 2015, Glasgow, Scotland, UK, (ECS transactions, ISSN 1938-6737, Vol. 68, no. 1, 2015). Pennington: Electrochemical Society, 2015, vol. 68, no. 1, str. 3151-3163, doi: 10.1149/06801.3151ecst. [COBISS.SI-ID 28770855],
RAUBAR, Edvin, VRANČIĆ, Damir. Anti-sway system for ship-to-shore cranes. Strojniški vestnik, ISSN 0039-2480, maj 2012, vol. 58, no. 5, str. 338-344, SI 66, ilustr., doi: 10.5545/sv-jme.2010.127. [COBISS.SI-ID 25941543]
VRANČIĆ, Damir, STRMČNIK, Stanko, JURIČIĆ, Đani. A magnitude optimum multiple integration tuning method for filtered PID controller. Automatica, ISSN 0005-1098. [Print ed.], 2001, vol. 37, str. 1473-1479. [COBISS.SI-ID 16089127],
KINNAERT, Michael, VRANČIĆ, Damir, DENOLIN, E., JURIČIĆ, Đani, PETROVČIČ, Janko. Model-based fault detection and isolation for a gas-liquid separation unit. Control engineering practice, ISSN 0967-0661. [Print ed.], 2000, vol. 8, str. 1273-1283. [COBISS.SI-ID 15480871]


Type (examination, oral, coursework, project):
• Seminar work with presentation and defence of the proposed solving of the selected problem from student’s research work (50%)
• Written exam, which assesses knowledge of the theory and the implementation of concepts of sensors in process control (50%)

Students obligations:

Examination, oral, coursework, project.