| TSRT09 |
Control Theory, 6 ECTS credits.
/Reglerteori/
For:
D
ED
I
Ii
IT
Y
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Prel. scheduled
hours: 60
Rec. self-study hours: 100
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Area of Education: Technology
Main field of studies: Electrical Engineering
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Advancement level
(G1, G2, A): A
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Aim:
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.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Automatic control, Statistics
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
The course consists of lectures, lessons and laboratory work.
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Course contents:
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.
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Course literature:
T. Glad, L. Ljung: Reglerteori. Flervariabla och olinjära metoder. Studentlitteratur. Lund. 2003.
Exercises with solutions.
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Examination: |
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Written examination
Laboratory work
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4,5 ECTS
1,5 ECTS
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Course language is Swedish.
Department offering the course: ISY.
Director of Studies: Johan Löfberg
Examiner: Daniel Axehill
Link to the course homepage at the department
Course Syllabus in Swedish
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