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Automatic Control, 6 credits
Reglerteknik, 6 hp
TSRT12
Main field of study
Electrical EngineeringCourse level
First cycleCourse type
Programme courseExaminer
Anders HanssonDirector of studies or equivalent
Johan LöfbergEducation components
Preliminary scheduled hours: 64 hRecommended self-study hours: 96 h
ECV = Elective / Compulsory / Voluntary
Main field of study
Electrical EngineeringCourse level
First cycleAdvancement level
G2XCourse offered for
- Computer Science and Engineering, M Sc in Engineering
- Applied Physics and Electrical Engineering - International, M Sc in Engineering
- Applied Physics and Electrical Engineering, M Sc in Engineering
- Mathematics
- Industrial Engineering and Management, M Sc in Engineering
- Industrial Engineering and Management - 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
Calculus, one variable, Calculus, several variables, Linear algebra, Complex Analysis, Fourier analysis, Circuit theoryIntended learning outcomes
After completing this course students should be able to describe the basic requirements for and limitations of automatic control systems. The student should also be able to perform analysis and model based design of feedback control systems. the student is expected to be able to do:
- Define basic concepts in automatic control.
- Transform mathematical models of linear dynamical systems between time domain input/output form, transfer function form, and state space form.
- Analyse models of linear dynamic systems that given in the above forms with respect to stability, pole placement, rise time, damping, controllability and observability.
- Demonstrate the relationship between the system properties of stability, rise time and damping in time and frequency domains.
- Derive input/output signal relationships for feedback control systems using block diagram calculations.
- Perform stability analysis of feedback control systems using Bode diagrams and Nyquist diagrams.
- Design controllers in PID-form, lead-lag form, state space form, and feedforward form fullfilling given specifications.
- Perform stability and robustness analysis of feedback control systems.
- Formulate the specifications for a feedback control system for a lab-process, and then model, construct and verify control system. The work should be documented in writing.
Course content
Introduction: Dynamic systems. Feedback principles.
Mathematical models I: Differential equations. Transfer functions.
Stability. Error coefficients.
Synthesis I: Correspondence dynamic properties - pole placement. Interpretation of Root Locus. The Nyquist criterion.
Mathematical models II: Frequency description. Bode plots. Phase and amplitude margins.
Synthesis II: Specifications in the frequency domain. Lead-lag
compensation. Sensitivity and robustness.
Mathematical description III. State space equations. Controllability and
observability.
Synthesis III: State feed back. Observers. Elimination of stationary errors.
Teaching and working methods
The course consists of lectures, lessons and laboratory work.
Examination
| 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: Control theory, Digital control, Modeling and simulation, Control project laboratory
Department
Institutionen för systemteknikDirector of Studies or equivalent
Johan LöfbergExaminer
Anders HanssonCourse website and other links
Education components
Preliminary scheduled hours: 64 hRecommended self-study hours: 96 h
Course literature
Glad T., Ljung L.: Reglerteknik. Grundläggande teori. Studentlitteratur. Övningsexempel.| Code | Name | Scope | Grading scale |
|---|---|---|---|
| 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.
Course literature is preliminary.
Glad T., Ljung L.: Reglerteknik. Grundläggande teori. Studentlitteratur.
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
|
X
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| 2.3 System thinking |
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 |
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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| 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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