This course is primarily for graduate students in engineering and applied mathematics who wish to learn the latest convex techniques and methods of robust control.  This is a powerful and general methodology, and the course is designed to introduce students to the subject, and prepare them either for work in control theory research, or to successfully apply the methods of the course in applications. The course will stress both the theoretical development of results as well as issues related to their application and computation;  assignments will be both analysis and computationally oriented; each student will have the choice of doing a project on either (A) a research paper; or (B) controller design and implementation for a laboratory experiment.  Topics include:
 
• Introduction to systems theory:  function spaces and operator theory
• Balanced realizations
• Model reduction:  Hankel norm and balanced truncation approaches
• Stabilization theory
• H-2 synthesis
• H-infinity synthesis
• mu-theory and integral quadratic constraints:  analysis and synthesis
• LMI computational techniques

Dullerud, G.E., Paganini, F.G., A Course in Robust Control Theory,  (to appear), Springer-Verlag, 1999.

Mechanical Engineering 240 or equivalent, or consent of instructor.

1 unit.

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