| Course Unit Code | 352-0505/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | English |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| NOS52 | prof. Ing. Petr Noskievič, CSc. |
| Summary |
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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
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| Learning Outcomes of the Course Unit |
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| 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 |
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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.
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| Recommended or Required Reading |
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| Required Reading: |
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CHARTLEY,T.T., BEALE, G.O., CHICATELLI, S.P. Digital Simulation of Dynamic
Systems. A Control Theory Approach. PTR Prentice Hall, Inc. 1995. ISBN
0-13-219957-2.
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-
030-2. |
| Recommended Reading: |
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LJUNG, L. & GLAD,T. Modeling of Dynamic Systems.Prentice Hall,Inc.Engelwood Cliffs, New Persey 07632. ISBN 0-
13-597097-0.
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-
04228-1. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Experimental work in labs, Project work |
| Assesment methods and criteria |
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| Tasks are not Defined |