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Automatic Control, 8 credits
Reglerteknik, 8 hp
TSRT91
Main field of study
Electrical EngineeringCourse level
First cycleCourse type
Programme courseExaminer
Martin EnqvistDirector of studies or equivalent
Johan LöfbergEducation components
Preliminary scheduled hours: 78 hRecommended self-study hours: 135 h
ECV = Elective / Compulsory / Voluntary
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| 6CITE | Information Technology, M Sc in Engineering | 5 (Autumn 2017) | 2 | 3 | Swedish | Linköping, Valla | C |
Main field of study
Electrical EngineeringCourse level
First cycleAdvancement level
G2XCourse offered for
- Information Technology, M Sc in Engineering
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Calculus, one variable, Calculus, several variables, Linear algebra, Linear systems for communicationIntended learning outcomes
After completing this course, students should be able to describe the basic requirements for and limitations of automatic control. Students should also be able to perform analysis and systematic construction of feedback control systems. This means that students will be expected to be able to do the following after completing this course:
- Describe and analyse time and frequency domain properties of discrete-time linear dynamic systems.
- Define basic concepts in the area of automatic control.
- Transform mathematical models of linear dynamic systems between time domain input/output form, transfer function form, and state space form.
- Analyse models of linear dynamic systems that are given in the forms above with respect to stability, pole placement, rise time, damping, controllability and observability.
- Demonstrate the connections between the system properties of stability, rise time and damping in time and frequency domains.
- Derive input/output signal relationships in feedback control systems using block diagram calculations.
- Perform stability analysis of feedback control systems using Bode and Nyquist diagrams.
- Construct regulators in PID-form, lead-lag form, state space form, and feedforward form based on given specifications.
- Perform stability and robustness analysis of feedback control systems using the root locus method and robustness criterion, respectively.
- Formulate the specifications for a feedback control system for a lab process, then model, construct and verify that system. The work should be carried out independently and documented in writing.
- Examplify the importance of automatic control for a sustainable development in different application areas.
Course content
- Difference equations, the z transform. Impulse response, step response, stability, and frequency response of discrete-time linear dynamic systems.
- Differential equations. Transfer functions.
- Dynamic systems. Feedback principles.
- Stability. Error coefficients. Correspondence between dynamic properties and pole placement.
- PID control.
- Root loci. The Nyquist criterion.
- Frequency description. Bode plots. Phase and amplitude margins. Specifications in the frequency domain. Lead-lag compensation.
- Sensitivity and robustness.
- State equations. Controllability and observability. State feedback. Observers. Elimination of stationary errors.
- Examples of how automatic control can contribute to a sustainable development, for example in vignettes concerning a common scenario.
Teaching and working methods
The course consists of lectures, exercises, laboratory work, and work in PBL groups. Some of the exercises are computer-based. The students work with vignettes in groups and PBL is the general approach used in the course.
Examination
| BAS1 | Work in PBL-groups | 1 credits | U, G |
| UPG1 | Hand-in assignment | 1 credits | U, G |
| LAB1 | Laboratory work | 1.5 credits | U, G |
| TEN1 | Written examination | 4.5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
Supplementary courses: Modeling and simulation, Industrial control systems, Control theory, Automatic control project course
Department
Institutionen för systemteknikDirector of Studies or equivalent
Johan LöfbergExaminer
Martin EnqvistEducation components
Preliminary scheduled hours: 78 hRecommended self-study hours: 135 h
Course literature
Additional literature
Books
- Glad T., Ljung L, Reglerteknik. Grundläggande teori
Other
- Studentlitteratur.
Övningsexempel
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| BAS1 | Work in PBL-groups | 1 credits | U, G |
| UPG1 | Hand-in assignment | 1 credits | U, G |
| LAB1 | Laboratory work | 1.5 credits | U, G |
| TEN1 | Written examination | 4.5 credits | U, 3, 4, 5 |
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
Additional literature
Books
Glad T., Ljung L, Reglerteknik. Grundläggande teori
Other
Studentlitteratur.
Övningsexempel
Övningsexempel
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
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X
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| 1.2 Fundamental engineering knowledge (G1X level) |
X
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X
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| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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| 1.5 Insight into current research and development work |
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| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
X
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X
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| 2.2 Experimentation, investigation, and knowledge discovery |
|
X
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X
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| 2.3 System thinking |
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X
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| 2.4 Attitudes, thought, and learning |
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X
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| 2.5 Ethics, equity, and other responsibilities |
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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X
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| 3.2 Communications |
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X
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| 3.3 Communication in foreign languages |
X
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X
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| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
X
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X
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X
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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
X
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X
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| 4.4 Designing |
X
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X
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| 4.5 Implementing |
X
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| 4.6 Operating |
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| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
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| 5.2 Economic conditions for knowledge development |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
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| 5.4 Execution of research or development projects |
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| 5.5 Presentation and evaluation of research or development projects |
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