Course MV-MTS-86602-K-4
Control Theory (3V+1U, 4.0 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
- | K | Lecture with exercise classes (V/U) | 4.0 CP | 64 h | |
3 | V | Lecture | 42 h | ||
1 | U | Lecture hall exercise class | 14 h | ||
(3V+1U) | 4.0 CP | 56 h | 64 h |
Basedata
Contents
- Fundamentals and modeling of technical systems
- Description of dynamic systems in the time domain (LTI systems, causal systems, differential equations to describe dynamic systems, linearization, block diagrams, solution in time domain, test functions)
- State space representation (normal forms, controllability, observability, stability, homogeneous and particulate solutions)
- Description of dynamic systems in the frequency range (Laplace transformation, transfer function, matrix transfer function, locus, Bode plot, amplitude and phase margin)
- Control circuit (types of recirculation, stationary behavior and lasting offset, stability of control circuit, Nyquist procedure, root locus plot)
- Setting/adjusting controllers (assigning poles, optimum control, heuristic processes)
Competencies / intended learning achievements
1. Lecture:
Students are able to
- Explain the properties of LTI systems and causal systems
- Describe systems with differential equations and in the state space
- Explain the controllability, observability and stability of systems
- Demonstrate and explain the correlations between the time and frequency range
- Describe loci and Bode plots
- Name different types of recirculation as well as their advantages and disadvantages
- Motivate and explain pole assignment and optimum control
2. Practice:
Students are able to
- Describe physical systems with differential equations and block diagrams
- Linearize and solve differential equations
- Calculate to answer to physical systems and test functions
- Transform differential equations to the state space
- Check the controllability, observability and stability of systems
- Transform state space representations to normal forms
- Transform the state space representation to the frequency range with the aid of the Laplace transformation and create the matrix transfer function
- Draw loci and Bode plots and then apply them to determine the amplitude and phase margin
- Calculate the lasting offset of control circuits and check the stability of control circuits
- Apply the Nyquist procedure
- Draw and interpret root locus plots
- Calculate control parameters with the aid of the pole assignment, optimum control and heuristic processes
For Bachelor students majoring in education for metallurgy vocational-technical schools:
The students understand the essential fundamentals of measurement and control technology and its application in technology, particularly in the fields relevant for vocational-technical schools, and they can apply the fundamental methodology.
Literature
- Otto Föllinger; Regelungstechnik Einführung in die Methoden und ihre Anwendungen; Heidelberg 1992 ; ISBN 3-7785-2136-5
- Martin Horn; Regelungstechnik: rechnergestützter Entwurf zeitkontinuierlicher und zeitdiskreter Regelkreise; Pearson Studium 2004; ISBN 3-8273-7059-0
Materials
Slides on overhead projector, Matlab, LabView, Powerpoint, practice exercises. For further information and course materials please consider the corresponding OLAT-course.
Requirements for attendance (informal)
Recommended:
Modules:
- [MAT-00-01-M-1] Higher Mathematics I (M, 8.0 LP)
- [MAT-00-02-M-1] Higher Mathematics II (M, 8.0 LP)
- [MV-MTS-B102-M-4] Electrical Engineering for Mechanical Engineering (M, 7.0 LP)
Requirements for attendance (formal)
None
References to Course [MV-MTS-86602-K-4]
Module | Name | Context | |
---|---|---|---|
[MV-MTS-23-M-4] | Measurement and control Theory | P: Obligatory | 3V+1U, 4.0 LP |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: