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The course will give an introduction to the design and analysis of robust linear multivariable control systems. The focus is on fundamental limitations in feedback systems and on stability and performance in the presence of uncertainty. Important topics include: signal and system norms, performance specifications, fundamental limitations from algebraic and analytic constraints, uncertainty descriptions, robust stability and robust performance. structured uncertainty and the structured singular value mu, H_infty- and H_2-optimal control, LQG cast as H_2-optimal control, H_infty loop shaping, mu-synthesis, LMIs, gap metrics.
After completing the course, the student should be able to:
Undergraduate course in classic SISO control, elementary background in matrices and linear algebra. An introductory course in multivariable control is recommended, but not a requirement.
The course will consist of 8 lectures, with the first lecture starting Thu January 16 2025, 10-12, room TBD. There will be 1-2 lectures per week. The full schedule will be announced later. For each lecture there will be a compulsory exercise with hand in. At the end of the course there will be a take home exam.
See course homepage in Canvas
Active presence at lectures (unless absence permitted)
Reading the assigned chapters in course book before coming to lecture.
Weekly hand-in problems (80% required on each)
24h take-home exam at the end of the course
Please send an email with name and affiliation to Elling W. Jacobsen