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| Semester | fall semester 2024 |
| Course frequency | Every fall sem. |
| Lecturers |
Nicolas Gerig (nicolas.gerig@unibas.ch)
Georg Rauter (georg.rauter@unibas.ch, Assessor) Cédric Schicklin (cedric.schicklin@unibas.ch) Carina Schmidt (carina.schmidt@unibas.ch) |
| Content | The lecture will be held in inverted classroom format. The lectures for the following week, will be online in form of videos on Tuesday night before the next lecture the Tuesday after. The students are required to watch the lecture and prepare questions until the next lecture in case they need further explanations of the course content. After answering questions, the lecture assistants will perform exercises together with the participants of the course to train and solidify the knowledge from the last lecture. In total, the participants of this course will learn to calculate the time response of a system purely by hand in order to understand the underlying principles of the calculations. The exercises and lectures will be accompanied by exercises also in Matlab to show state of the art tools to the participants in order to appreciate existing solution methods over manual solution. But the basic understanding of linear time-invariant crontrol systems is in the focus so that students get a feeling how control systems work in principle and if results are plausible. Lecture content: Introduction to control systems: open- vs. closed Control schemes LTI-Systems Solution of LTI-Systems Laplace transform State space models: 1st-, 2nd-, and higher order Transfer function Step response Cascaded systems Stability: Asymptotic- and BIBO-stability Back transform Linearization of LTI-Systems BODE diagram Polar plots Root-Locus plots Nyquist stability criterium PID-control (and tuning) |
| Learning objectives | The students should become able to analyze simple physical systems and embed them in closed-loop controllers. They should be able to calculate the system's response based on input to the system in the time domain. In detail, the students should become able to set up Ordinary Differential Equations (ODE) that describe the behaviour of the system that is to be analyzed. In case the ODE is not of linear form, the system will be linearized. Instead of solving the system in time domain, we will use Laplace Transform. Since the system will be embedded in a control circuit, also the control circuit will be set up in Laplace space to obtain the transfer function of the entire system. When input is applied to the system, the system's response in time domain can be calculated. This response in time domain will be obtained using Partial Fraction Decomposition to obtain primitives of transfer functions that can be transformed back to time domain using Laplace Tables. Also system stability will be analyzed, and cascaded control circuits should be set up to form a solid basis for the next course in the summer semester Applied Control. |
| Bibliography | Katsuhiko Ogata, Modern Control Engineering, Prentice Hall, 2010https://www.academia.edu/43692259/Modern_Control_Engineering_Fifth_Edition orhttp://docs.znu.ac.ir/members/pirmohamadi_ali/Control/Katsuhiko%20Ogata%20_%20Modern%20Control%20Engineering%205th%20Edition.pdf Chen C. T.: Analog and Digital Control System Design: Transfer-Function, State-Space, and Algebraic Methods, Saunders College Publishing, 1993 Chen C. T.: Linear System Theory and Design, Saunders College Publishing, 1984 Föllinger O.: Regelungstechnik, 6. Auflage, Oldenbourg Verlag, 1990 Horn M.: Dourdoumas N.: Regelungstechnik, Pearson Verlag, 2004 Kailath T.: Linear Systems, Prentics Hall, 1980 Trentelman, H., Stoorvogel, A. A., Hautus, M.: Control Theory for Linear Systems, Springer, 2001 https://www.tugraz.at/institute/irt/teaching/additional-material https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted |
| Comments | Basics that are relevant for the master studies in Biomedical Engineering: https://dbe.unibas.ch/en/education/master-of-science/master-program-starting-in-hs-2023/ |
| Weblink | DBE_MA BME |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Tuesday | 10.15-12.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Modules |
Modul: Biomedical Engineering Basics (Master's Studies: Biomedical Engineering) Module Specialisation: Medical Nanosciences (Master's Studies: Nanosciences) Module: Applications of Distributed Systems (Master's Studies: Computer Science) Module: Applications of Machine Intelligence (Master's Studies: Computer Science) Module: Electives in Data Science (Master's Studies: Data Science) |
| Assessment format | main lecture exam |
| Assessment details | The exam will be held in written form (2.5h). The students will not need any digital tool for problem solving. Accordingly, the allowed tools to bring to the exam is a sheet of hand-written formulas. Otherwise only tools for writing on paper are needed. For convenience, previous exams are provided in the lecture materials for the students to get an idea of the format, content, and complexity of exams. 06.01.2024 13:30 - 16:00 Biozentrum, Hörsaal 101 |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,1 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Medicine |
| Offered by | Departement Biomedical Engineering (DBE) |