Contents - Modelling and Simulation of Dynamic Systems
Modelling and Simulation of Dynamic Systems
Due to the current situation, the course will take place as e-learning on the Moodle platform. There are videos of the lectures and exercises, which are offered as a stream for one week each, one after the other. On every Friday of the week from 12-14 o'clock a web conference is offered. The first part of the web conference is about the lecture (about 60 minutes). Here the most important aspects of the videos of the last week are summarized, questions about the content of the videos answered and the content of the videos of the next week briefly presented. In order to make the meeting effective for everyone, the questions must be submitted in written form (e.g. by e-mail) before the web conference. After a 15 min. break a live exercise will be offered (approx. 45 minutes) in the second part.
The registration for the Moodle course is made by filling out a form on our website:
|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.