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ECTS Course Overview

Modelling and Simulation

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code352-0505/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Choice-compulsory
Level of Course Unit *Second Cycle
Year of Study *
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
NOS52prof. Ing. Petr Noskievič, CSc.
Dynamic systems, state space models, linearization. System sensitivity.
Differential equation of higher order. Function approximation. Methods of
numerical solution of differential equations, Runge-Kutta methods.
Predictor-corrector methods. Stiff systems. Stability of the numerical solution.
Stability regions. Model order reduction methods. Simulation of the discrete
Learning Outcomes of the Course Unit
The goal of this subject to obtain the knowledge from the modelling of the basic dynamic systems and creation of the simulation models. The next goal is to be able to realize the simulation model in the simulation programme and to simulate the responses of the systems. The subject is focused ability to use the basic methods of the mathematical physical modelling, realization and use of the simulation models.
Course Contents
1. Fundamentals of the dynamic system analysis, comparison of the analytical and experimental methods of the identification.
2. Linear and nonlinear systems. Linearization of models.
3. Time varying systems, time invariant systems, systems with time delay, equilibrium, stability of the equilibrium.
4. Programming of the models in the form of differential equations and transfer functions.
5. Realization of the mathematical models using the simulation programmes. Classification of the simulation programmes.
6. Numerical methods used for the modelling of the static characteristics.
7. Numerical methods for integration and derivative computation.
8. Numerical methods for solution of the differential equations.
9. State space models – numerical solution. Transition matrix.
10. Stability of the methods for the numerical solution of the differential equations.
11. A-stabil, AD-stabil methods of the numerical solution of the differential equations.
12. Discrete event systems. Structure, description, modelling and simulation.
13. Random number generation, Monte Carlo methods for discrete event system modelling.
14. Simulation programmes. Case study.

Recommended or Required Reading
Required Reading:
CHARTLEY,T.T., BEALE, G.O., CHICATELLI, S.P. Digital Simulation of Dynamic
Systems. A Control Theory Approach. PTR Prentice Hall, Inc. 1995. ISBN
CLOSE, M. CH., FREDERIK, D. K. Modeling and Analysis of Dynamic Systemns. N.Y.:
John Wiley & Sons.Inc, 1995. ISBN 0 471 12517 2.
NOSKIEVIČ, P. Simulace systémů. Ostrava: VŠB-TU Ostrava, 1996. ISBN 80-7078-112-2.
NOSKIEVIČ, P. Modelování a identifikace systémů. 1. vyd. Ostrava : MONTANEX, a. s., 1999. 276 s. ISBN 80-7225-
Recommended Reading:
LJUNG, L. & GLAD,T. Modeling of Dynamic Systems.Prentice Hall,Inc.Engelwood Cliffs, New Persey 07632. ISBN 0-
CLOSE, M. Ch. & FREDERICK, K. Modeling and Analysis of Dynamic Systems. John Wiley & Sons, Inc. New York.
1995. ISBN 0-471-125172-2.
HOFREITER, M.: Identifikace systémů I. ČVUT v Praze. Česká technika - nakladatelství ČVUT. ISBN 978-80-01-
Planned learning activities and teaching methods
Lectures, Tutorials, Experimental work in labs, Project work
Assesment methods and criteria
Tasks are not Defined