Syllabus academic year 2008/2009
(Created 2008-07-17.)

Higher education credits: 7,5. Grading scale: TH. Level: G2 (First level). Language of instruction: The course might be given in English. FRT010 overlap following cours/es: FRT065, FRT081, FRT110, FRT065, FRT081 och FRT110. Compulsory for: C3, D3, E3, I3, M3, MD3, Pi2. Course coordinator: Professor Tore Hägglund, och Professor Karl-Erik Årzén,, Inst f reglerteknik. Recommended prerequisits: FMA037 Complex Analysis or FMA280 Analytic Functions and FMA036 Linear Analysis or FMA450 Systems and Transforms (FEDIPi); FMA430 Calculus in Several Variables or FMA036 Linear Analysis (M). 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

Åström K J: Reglerteori, Almqvist & Wiksell, 1976 or
Glad T, Ljung L: Reglerteknik - grundläggande teori, Studentlitteratur, 1989 or
Åström K J: Introduction to Control, 2004 (book manuscript)
Compendium in Control, Hägglund, T.
Compendia with examples, formulas and instructions for laboratory work.