Syllabus academic year 2007/2008

Higher education credits: 7,5. Grading scale: TH. Level: A (Second level). Language of instruction: The course will be given in English on demand. FRTN10 overlap following cours/es: FRT020 och FRT020. Optional for: C3, C3sst, D3, D3sst, E3ra, F3, F3rs, I3, N4, Pi4sbs. Course coordinator: Professor Anders Rantzer, och Professor Karl-Erik Årzén,, Inst f reglerteknik. Recommended prerequisits: FMA410, FMA420, FMA430 Mathematics, Basic Courses, FMA036 Linear Analysis, FMA037 Caomplex Analysis or FMA280 Analytic Functions or FMA062 Applied Mathematics, FRT010 Automatic Control, Basic Course and FMS012/FMS022/FMS121Mathematical Statistics, Basic Course. The course might be cancelled if the numer of applicants is less than 10. Assessment: Written exam (5 hours), three laboratory exercises. In case of less than 5 registered students the second and third exam may be given in oral form. Home page:

To teach the basic principles for control of systems with multiple inputs and outputs. The course will provide insight on fundamental limitation and on the use of mathematical optimization as a design tool. 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

The control design process, signal size, gain, stability, sensitivity, robustness, small-gain theorem, transfer function matrix, operators, multivariable zeros, non-minimum phase systems, disturbance models in the time domain and frequency domain, frequency-domain specifications, controller structures, Youla parameterization, convex specifications, linear-quadratic optimization of state feedbacks and Kalman filters, synthesis using Linear Matrix Inequalities (LMI).

Torkel Glad, Lennart Ljung: Control Theory: Multivariable and Nonlinear Methods, Taylor & Francis, 2000, ISBN 0748408789
Compendium with additional lecture material and exercises sold by the department.