Contents - Modelling and Simulation of Dynamic Systems

Modelling and Simulation of Dynamic Systems

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Information on teaching in winter semester 2021/22

 

The course will be held as e-learning via the moodle platform until further notice. Lecture and tutorial will be held as a web conference via Zoom, the corresponding link, as well as the exact times will be announced via the moodle course in the live stream section.
If new regulations of the university or the state require a change in the way of implementation, we will inform in the lecture, as well as on the website and in the moodle course.

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Link to the course: Modelling and Simulation of Dynamic Systems

Registration method: Keys (Login with university ID)

  Responsible Person: Dr.-Ing. Köppen-Seliger (Lecture), Dr.-Ing. Köppen-Seliger (Exercise)

After an introduction into goals and significance of modelling and simulation, numerical methods for solving ordinary differential equations (various implicit and explicit single step and multi-step methods, other methods) and their properties (numeric stability, local and global errors, suitability for stiff differential equations, for step inputs and for step width control) are considered. For the solution of partial differential equations, there is only a hint by an example with spce and time discretization.

The chapter "experimental modelling" at first discusses principles and choice of test signals, followed by methods for gaining nonparametric models. For general parmeter estimation methods, as they are contained in the MATLAB system identification toolbox, the basic models are presented. For one method, the reduction to a least-squares problem is shown; for further details the lecture refers to another lecture ("state and parameter estimation"). Subspace methods and identification of nonlinear systems are only mentioned as outlook.

A short overview over physical fundamentals from mechanics, thermodynamics and fluid dynamics is given. These fundamentals are applied for theoretical modelling (gaining rigorous models) for numerous examples, e.g.:

  • DC drive, pump and compressor, valve, heat exchanger, heated vessel (liquid, gas, boiling liquid and vapour), stirring vessel reactor with chemical reaction.

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