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Control Theory, 6 credits
Reglerteori, 6 hp
TSRT09
Main field of study
Electrical EngineeringCourse level
Second cycleCourse type
Programme courseExaminer
Daniel AxehillDirector of studies or equivalent
Johan LöfbergEducation components
Preliminary scheduled hours: 60 hRecommended self-study hours: 100 h
ECV = Elective / Compulsory / Voluntary
Main field of study
Electrical EngineeringCourse level
Second cycleAdvancement level
A1XCourse offered for
- Computer Science and Engineering, M Sc in Engineering
- Industrial Engineering and Management - International, M Sc in Engineering
- Electronics Design Engineering, M Sc in Engineering
- Industrial Engineering and Management, M Sc in Engineering
- Applied Physics and Electrical Engineering, M Sc in Engineering
- Information Technology, M Sc in Engineering
- Applied Physics and Electrical Engineering - International, 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
Automatic control, StatisticsIntended learning outcomes
The course gives the basic theory required to solve more difficult control problems. This implies analysis and design of multivariable systems, basic insights in nonlinear phenomena, in particular methods for nonlinear stability analysis as well as tradeoffs and basic limitations for control systems. A course goal is also to give an ability in using computer based control design. When the course is finished the participants are expected to be able to
- Describe possibilities and limitations in multivariable control design and given an account of conflicts between performance requirements.
- Model disturbances, analyze their influence and design control systems to counteract them.
- Calculate stationary points, linearize and perform local analysis of state space systems.
- Perform stability analysis using the circle criterion, describing functions and elementary Lyapunov theory.
- Design multivariable control systems using LQG methods, loop shaping methods and computer based tools (and in very simple cases by hand calculations).
- Design controllers that completely eliminate simple nonlinearities.
Course content
Mathematical description of linear multivariable systems in continuous time.
Controllability and observability. Stability. Description of disturbances. Synthesis of regulators. Sensitivity and robustness. Performance limitations.
Linear quadratic theory. Observers. The separation principle
LTR-methodology. Robust loop-shaping. Nonlinear systems: The effect of nonlinearities, phase planes, stability. Lyapunov theory, the circle criterion, describing function. Exact linearization.
Teaching and working methods
The course consists of lectures, lessons and laboratory work.
Examination
| LAB1 | Laboratory work | 1.5 credits | U, G |
| DAT1 | Written examination | 4.5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Department
Institutionen för systemteknikDirector of Studies or equivalent
Johan LöfbergExaminer
Daniel AxehillCourse website and other links
Education components
Preliminary scheduled hours: 60 hRecommended self-study hours: 100 h
Course literature
T. Glad, L. Ljung: Reglerteori. Flervariabla och olinjära metoder, Studentlitteratur, Lund, 2003. Övningsuppgifter med lösningar. Laborationshandledningar.| Code | Name | Scope | Grading scale |
|---|---|---|---|
| LAB1 | Laboratory work | 1.5 credits | U, G |
| DAT1 | 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.
Course literature is preliminary.
T. Glad, L. Ljung: Reglerteori. Flervariabla och olinjära metoder, Studentlitteratur, Lund, 2003.
Övningsuppgifter med lösningar. Laborationshandledningar.
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) |
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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) |
|
X
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X
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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 |
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X
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X
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| 2.2 Experimentation, investigation, and knowledge discovery |
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X
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X
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| 2.3 System thinking |
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X
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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 |
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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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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
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X
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| 4.4 Designing |
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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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