Homework - GIPSA-Lab

Robust control of MIMO systems
Homework & Evaluation
Olivier SENAME
GIPSA-lab, Dept of Control Systems, Tel :+33 476826232, email: [email protected]
www.gipsa-lab.fr/∼ o.sename
Slides of the course on www.gipsa-lab.fr/∼ o.sename, Teaching
1
5
1. D. Alazard, C. Cumer, P. Apkarian, M. Gauvrit, and G. Ferreres. Robustesse et commande optimale. Cpadues Editions,
1999.
Tools
2. J.C. Doyle, B.A. Francis, and A.R. Tannenbaum. Feedback
control theory. Macmillan Publishing Company, New York,
1992.
https://sites.google.com/site/brucefranciscontact/Home/publications
Before lecture 1 (sept 15.):
1. Download the 3 first chapter of the Skogestad & Postlethwaite’s book and read the chapter 1 and chapter 3 (sections 3.1 to 3.3)
3. G. Duc and S. Font. Commande H∞ et µ-analyse: des outils
pour la robustesse. Herms, France, 1999.
4. G.C. Goodwin, S.F. Graebe, and M.E. Salgado. Control System Design. Prentice Hall, New Jersey, 2001.
csd.newcastle.edu.au
2. Download the book by J.C. Doyle, B.A. Francis, and A.R.
Tannenbaum and read chapter 2 (sections 2.1 to 2.3)
5. Scherer, C. and Wieland, S. (2004). Linear Matrix inequalities
in Control. lecture support, DELFT University.
3. Download the slides of the book by K. Zhou and read
from slide 1 to 33 and from 54-73.
6. S. Skogestad and I. Postlethwaite. Multivariable Feedback
Control: analysis and design. John Wiley and Sons, 2005.
www.nt.ntnu.no/users/skoge.
After : Solve the given exercices, Read and study the
slides of section 2 (LMIs)
2
Performance analysis
Before lecture 2 & 3 :
1. Read chapter 2 Skogestad & Postlethwaite’s book (sections 2.1 to 2.4)
2. Read chapter 3 of the book by J.C. Doyle, B.A. Francis,
and A.R. Tannenbaum
3
H∞ control design
Before lecture 4 & 5 & 6 :
1. Read chapter 2 Skogestad & Postlethwaite’s book (sections 2.5, 2.7 and 2.8)
2. Read chapter 3 Skogestad & Postlethwaite’s book (sections 3.5, 3.6)
3. Read the slides of the book by K. Zhou from slide 77 to
83
4
Uncertainty and robustness
Before lecture 7 & 8 :
1. Read chapter 3 Skogestad & Postlethwaite’s book (sections 3.7, 3.8)
2. Read the slides of the book by K. Zhou from slide 108 to
133
References
7. K. Zhou. Essentials of Robust Control. Prentice Hall, New
Jersey, 1998. www.ece.lsu.edu/kemin
6
Evaluation
• Exam (2H)
• Homework: solve and give back exercices on performance
analysis, H∞ control problem formulation, and uncertainty modelling.