Introduction to Model Order Reduction

Ph.D. course, 7 credits, Spring 2014

 

 

This webpage is continuation of the actual course homepage. (Hence it has been made to look similar.)

 


 

Instructors: Henrik Sandberg (responsible), Bart Besselink, and Madhu N. Belur (IIT Bombay)


Preliminary schedule (subject to change)

Program (dates and times subject to change)


Date Time Event Room Lecturer

Topic







May-09 (Fri) 10:15-12:00Lecture 9 Q13 MB

Behavioral approach, kernel representations: ppt and notes







May-12 (Mon)13:15-15:00Lecture 10Q13 MB

Controllability, passivity, dissipativity, storage functions: ppt and notes







May-14 (Wed)13:15-15:00Lecture 11Q24 MB

Maximum and minimum storage functions, ARE/ARI, LQ control notes







May-16 (Fri) 10:15-12:00Exercise 3 Q13 HS/BB

Exercises due May 14







May-19 (Mon)13:15-15:00Lecture 12Q13 MB

Orthogonal complement, stationary trajectories, Hamiltonian matrices notes







May-21 (Wed)13:15-15:00Lecture 13L41 MB

Dissipativity preserving model reduction ppt







May-26 (Mon) 10:15-12:00 Lecture 14 Q13 MB

Passivity preserving model reduction ppt







May-28 (Wed) 13:15-15:00 Exercise 4 Q24 MB

Exercises due May 21







 


Literature

Research papers and parts of the books

·         Antoulas, A.C., "Approximation of Large-Scale Dynamical Systems", Society for Industrial and Applied Mathematics, 2005.

·         Obinata, G. and Anderson, B.D.O., "Model Reduction for Control System Design", Springer-Verlag, London, 2001.

·         Doyle, J.C., Francis, B., and Tannenbaum, A., "Feedback Control Theory", Macmillan Publishing Co., 1990.

·         Green, M., and Limebeer, D.J.N., "Linear Robust Control", Prentice Hall, Englewood Cliffs, 1995.

·         Zhou K., Doyle, J.C., and Glover, K., "Robust and Optimal Control", Prentice Hall, Upper Saddle River, 1996.