Multivariable Control Systems


Lecture Notes

LEC #

TOPICS

1

Standard LTI Feedback Optimization Setup (PDF)

2

Interpretations for Standard Optimization Setup (PDF)

3

Solving the H2 Optimization Problem (PDF)

4

Using H2 Optimization (PDF)

5

The Waterbed Effect (PDF)

6

Kalman-Yakubovich-Popov Lemma (PDF)

7

Algorithms for H-Infinity Optimization (PDF)

8

Fundamentals of Model Order Reduction (PDF)

9

Hankel Optimal Model Order Reduction (PDF)

10

Q-Parameterization (PDF)

11

The Tustin Transform (PDF)

12

Convex Optimization (PDF)

13

Analysis of Uncertain Systems (PDF)

Assignments

ASSIGNMENTS

SOLUTIONS

SUPPORTING FILES

Problem Set 1 (PDF)

(PDF)

ps1_1.m (M)
ps1_2.m (M)
ps1_1a.mdl (MDL)
ps1_1b.mdl (MDL)
ps1_2a.mdl (MDL)
ps1_2b.mdl (MDL)

Problem Set 2 (PDF)

(PDF)

ps2_3.m (M)
ps2_3a.mdl (MDL)

Problem Set 3 (PDF)

(PDF)

ps3_1.m (M)
ps3_2a.m (M)
ps3_2b.m (M)
ps3_1a.mdl (MDL)
ps3_2c.mdl (MDL)

Problem Set 4 (PDF)

(PDF)

ps4_1.m (M)
ps4_2.m (M)
ps4_3.m (M)
ps4_3a.mdl (MDL)

Problem Set 5 (PDF)

(PDF)

ps5_3.m (M)

Problem Set 6 (PDF)

(PDF)

 

Problem Set 7 (PDF)

(PDF)

ps7_1_1.m (M)
ps7_1_2.m (M)
ps7_3_1.m (M)
ps7_3_2.m (M)

Problem Set 8 (PDF)

(PDF)

 

Problem Set 9 (PDF)

 

 

Problem Set 10 (PDF)

 

check.m (M)
dit.m (M)
kit.m (M)
ps10b_1.mdl (MDL)
ps10b_2.mdl (MDL)
ps10b_3.mdl (MDL)