Syllabus academic year 2010/2011
(Created 2010-07-25.)
Credits: 7,5. Grading scale: TH. Cycle: G2 (First Cycle). Main field: Technology. Language of instruction: The course might be given in English. FRT010 overlaps following cours/es: FRT065, FRT081 and FRT110. Compulsory for: C3, D3, E3, F2, I3, M3, MD3, N3, Pi2. Course coordinator: Professor Tore Hägglund, and Professor Karl-Erik Årzén,, Dept of Automatic Control. Recommended prerequisits: Compulsory courses in mathematics. Assessment: Written exam (5 hours), three laboratory exercises. In the case of less than 5 registered students, the second and third exams may be given in oral form. Home page:

The aim of the course is to give knowledge about the basic principles of feedback control. The course will give insight into what can be achieved with control, and the possibilities and limitations. The course covers linear continuous-time systems.

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Introduction; overview of control; describing dynamical systems using time-invariant ordinary differential equations, transfer function, frequency responses, Bode and Nyquist diagrams; relations between different representations; controllability and observability; analysis of feedback systems, signal following and disturbance rejection; stability; overview of stability analysis methods: root locus and Nyquist criterion; practical stability; phase and amplitude marginals; synthesis and implementation of controllers; specifications; control principles and controller structures: PID control, cascade control, feedforward; synthesis of systems with a given transfer function: pole-placement through state feedback and output feedback; reconstruction suing Kalman filter; Bode and Nyquist compensation; delay compensation; application examples

Glad T, Ljung L: Reglerteknik – grundläggande teori, Studentlitteratur, 2006 or
Åström KJ, Murray RM: Feedback systems, Princeton 2008.
Compendium in Control, Hägglund, T.
Compendia with examples, formulas and instructions for laboratory work.