- Basic terminology, measurement technology tasks, measuring chain
- Measurement statistics (modeling, probability and distribution functions, confidence interval and complete measurement result, deviation propagation, linear fit and correlation)
- Stationary and dynamic properties of measuring equipment (stationary characteristic measurement curve, compensation methods, spline interpolation and smoothing splines, sensitivity, differential principle)
- Resistance measuring bridges (adjustment procedures, deflection procedures, strain gauges)
- Fourier series and Fourier transformation (derivation, properties, convolution theorem, time frame, examples of applications, filters, carrier frequency procedures)
- Scanning of measurement signals (discrete-time Fourier transformation, aliasing, reconstruction, discrete Fourier transformation)
Module MV-MTS-23-M-4
Measurement and control Theory (M, 8.0 LP)
Module Identification
Module Number | Module Name | CP (Effort) |
---|---|---|
MV-MTS-23-M-4 | Measurement and control Theory | 8.0 CP (240 h) |
MV-MEMT-8-M-6 | Measurement and control Theory | 8.0 CP (240 h) |
Hint concerning Module MV-MEMT-8-M-6:
Number and Level for Master of Education in Metals Technology
Basedata
CP, Effort | 8.0 CP = 240 h |
---|---|
Position of the semester | 1 Sem. in WiSe |
Level | [4] Bachelor (Specialization) |
Language | [DE] German |
Module Manager | |
Lecturers | |
Area of study | [MV-MTS] Measurement and Sensor Technology |
Reference course of study | [MV-82.103-SG] B.Sc. Mechanical Engineering |
Livecycle-State | [NORM] Active |
Courses
Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
---|---|---|---|---|---|---|---|---|---|---|
2V+1U | MV-MTS-86600-K-4 | Measurement Theory
| P | 42 h | 78 h | - | - | PL1 | 4.0 | WiSe |
3V+1U | MV-MTS-86602-K-4 | Control Theory
| P | 56 h | 64 h | - | - | PL1 | 4.0 | WiSe |
- About [MV-MTS-86600-K-4]: Title: "Measurement Theory"; Presence-Time: 42 h; Self-Study: 78 h
- About [MV-MTS-86602-K-4]: Title: "Control Theory"; Presence-Time: 56 h; Self-Study: 64 h
Examination achievement PL1
- Form of examination: written exam (Klausur) (180-210 Min.)
- Examination Frequency: each semester
- Examination number: 10650 ("Measurement and Control Theory")
Evaluation of grades
The grade of the module examination is also the module grade.
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 basic terminology of measurement technology and describe the purpose of measurement technology
- Use statistics to analyze measurement uncertainties and deviations
- Derive stationary properties of measuring equipment on the basis of the characteristic measurement curve
- Demonstrate the benefits of a measuring bridge as well as explain reconciliation and deflection procedures
- Explain and interpret the correlations between time signals and their frequency spectra
- Describe the setup as well as the advantages and disadvantages of the carrier frequency procedure
- Explain scanning of measurement signals
2. Practice:
Students are able to
- Name different distribution functions and compare their application
- Calculate confidence intervals for expectations and variances
- Create characteristic measurement curves through interpolation and approximation methods
- Calculate measuring bridge voltages for reconciliation and deflection procedures
- Calculate and evaluate frequency-modulated signals in the time and frequency range
Apply the scan theorem
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
- P. Profos: Grundlagen der Messtechnik; Oldenbourg 1997; ISBN 3-486-24148-6
- A. Oppenheim, A. Willsky: Signals and Systems; Prentice Hall 1997; ISBN 0-13-814757-4
- 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
Requirements for attendance (informal)
Recommended prior knowledge from the following modules:
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 Module / Module Number [MV-MEMT-8-M-6]
Course of Study | Section | Choice/Obligation |
---|---|---|
[MV-66.108-SG] M.Ed. LaBBS Metals Technology | Maschinen- und Fahrzeugtechnik | [P] Compulsory |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: