| TSRT12 |
Automatic Control Y, 6 ECTS credits.
/Reglerteknik /
For:
D
Mat
Y
Yi
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Prel. scheduled
hours: 64
Rec. self-study hours: 96
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Area of Education: Technology
Main field of studies: Electrical Engineering
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Advancement level
(G1, G2, A): G2
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Aim:
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.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Calculus, one variable, Calculus, several variables, Linear algebra, Complex Analysis, Fourier analysis, Circuit theory
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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Supplementary courses:
Control theory, Digital control, Modeling and simulation, Control project laboratory
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Organisation:
The course consists of lectures, lessons and laboratory work.
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Course contents:
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.
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Course literature:
Glad T., Ljung L.: Reglerteknik. Grundläggande teori.
Studentlitteratur.
Exercises
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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: Anders Hansson
Link to the course homepage at the department
Course Syllabus in Swedish
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