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Lecturer(s)
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Dušek František, doc. Ing. CSc.
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Course content
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Attention is focused on the creation of a mathematical model of the dynamic system based on first-principle analysis in modelling part. The possibilities of determination of unknown parameters of the analytical model and the creation of approximation models based on experimental data are shown in the identification part. The behaviour of dynamic systems containing typical nonlinearities, combinations of continuous- and discrete-time parts, algebraic loops, feedbacks is studied by the simulations. Attention is focused mainly on the following areas: *description of the dynamical behaviour of a real continuous system (thermal, hydraulic, pneumatic, mechanical, electrical) based on first-principle analysis (simplifying assumptions, mass and energy balances, application of elementary and specific laws and descriptions); identification of selected parameters (special experiments design for their determination) *experimental identification - creation of approximation model of dynamic behaviour of the real system based on experimental data (choice of the input signal and sampling, choice of the model structure, noise influence, numerical solution - offline and online identification) *problematics of simulation of nonlinear continuous-time dynamic systems behaviour (typical nonlinearities, combination of continuous- and discrete-time parts, algebraic loops, real-time simulation, etc.)
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Methods of individual activities, Laboratory work
- Home preparation for classes
- 200 hours per semester
- Home preparation for classes
- 200 hours per semester
- Preparation for an exam
- 200 hours per semester
- Individual project
- 200 hours per semester
- Individual project
- 200 hours per semester
- Preparation for an exam
- 200 hours per semester
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Learning outcomes
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The aim of the course is to acquaint students with advanced methods of modelling, simulation and identification of continuous-time dynamic systems.
Knowledge of mathematical models of dynamic systems including determination of unknown parameters from experimental data. Simulation of nonlinear dynamic systems described by systems of ordinary differential and algebraic equations in MATLAB / SIMULINK.
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Prerequisites
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The knowledge of mathematics and physics at master level is assumed. Knowledge of programming basics and MATLAB / SIMULINK computing environment is expected
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Assessment methods and criteria
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Oral examination, Written examination, Home assignment evaluation
The student creates a mathematical model of a complex system and verifies its behaviour through the simulation. Part of the task can also be a mathematical model creation of a real laboratory equipment and the determination of the selected parameters based on the experimental data. The student completes at least 3 consultations during the semester concerning the theoretical content of the course. The student will pass at least 1 consultations concerning the assigned practical problem.
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Recommended literature
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ČERMÁK,J. ; PETERKA, V. ; ZÁVORKA, J. Dynamika regulovaných soustav v tepelné energetice a chemii. ACADEMIA Praha, 1968..
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Eykhoff, Pieter. System identification : parameter and state estimation. London: John Wiley & Sons, 1974. ISBN 0-471-24980-7.
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Ljung, Lennart. System identification : theory for the user. Upper Saddle River: Prentice Hall, 1999. ISBN 0-13-656695-2.
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Noskievič, Petr. Modelování a identifikace systémů. Ostrava: Montanex, 1999. ISBN 80-7225-030-2.
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SŐDERSTRŐM, T. , STOICA, P. System identification. ISBN 0-13-881236-5.
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Zítek, Pavel. Simulace dynamických systémů. Praha: Státní nakladatelství technické literatury, 1990. ISBN 80-03-00330-X.
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