Syllabus academic year 2009/2010
(Created 2009-08-11.)
MULTIVARIABLE CONTROLFRTN10

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, FRT020, FRT020 och FRT020. Optional for: C4, C4sst, D4, D4sst, E3, E3ra, F3, F3rs, I4, N4, Pi4, Pi4sbs. Course coordinator: Professor Anders Rantzer, rantzer@control.lth.se och Professor Karl-Erik Årzén, karl-erik.arzen@control.lth.se, Inst f reglerteknik. Prerequisites: FRT010 Automatic Control, 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: http://www.control.lth.se/course/FRTN10/.

Aim
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

Contents
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).

Literature
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.