Course plan, setup and book

The course is 9hp. 

  • Structure: 7 Lectures, 7 exercises, see schedule below. 
  • Book: Essentials of Robust Control by John Doyle and Kemin Zhou (originally published in 1998). This is a condensed version of Robust and Optimal Control by Kemin Zhou, John Doyle and Keith Glover. + Handouts (see below)
  • Tools: Matlab
  • Examination: Exercises + Handins +  Exam
  • Collaboration is encouraged on exercises and handins!
  • Handins are due before the exercise session, email to: carolina.bergeling@control.lth.se with subject Robust control handin X
  • Prepare so that you are able to share your solutions to the exercises at the session. (Take a photo of handwritten notes or typeset)

 

The following zoom-link is to be used for all lectures and exercise sessions: https://lu-se.zoom.us/j/63713294483 Links to an external site.

 

Week Wednesdays 13:15-15:00 Thursdays 10:15-12:00 
1 L1 (25/3)
2 E1 (31/3) L2 (1/4)
3 E2 (7/4) L3 (8/4)
4 E3 (14/4) L4 (15/4)
5 E4 (21/4) L5 (22/4)
6 E5 (28/4) L6 (29/4)
7 E6 (5/5) L7 (6/5)
8 E7 (12/5)

L - lectures, E- exercises

 

Lecture/Exercise Content Book readings
1 Introduction. Spaces, operators, norms.  ZD Ch. 2-4 + DFT Ch. 2
2 Internal stability, performance specifications and limitations ZD Ch. 5-6
3 Uncertainty and robustness, Linear fractional transformations ZD Ch. 8-9
4 Structured uncertainty and mu-synthesis ZD Ch. 10
5 Algebraic Riccati equations. H_2 and H_infinity control.  ZD Ch. 12-13-14
6 H-infinity loop shaping ZD Ch. 16 
7 H-infinity control and linear matrix inequalities + gap metric Dullerud Ch. 7 + ZD Ch. 17

ZD - Zhou and Doyle, Essentials of Robust Control.

DullerudA Course in Robust Control Theory: A Convex Approach by Geir E. Dullerud, Fernando Paganini. See under module extra material. 

DFT - Feedback Control Theory by Doyle, Francis, Tannenbaum. See under module extra material.