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ECSE 6460 Multivariable Control (Fall 2006)

Course Outline

# Date
Topic
Reading
HW/Exam
1 8/29

Introduction

Ch. 1

HW #1

2 8/31

Fundamentals: SVD, matrix theory

Ch. 2

 

3 9/7
Linear time invariant systems (input/output, Laplace transform, state space)
3.1
HW #1 due, HW #2
4 9/11
Controllability, reachability operator, controllable subspace, contorllability grammian
3.2-.3.4  
5 9/14
Observability, unobservable subspace, observability grammian, Kalman decomposition, Multivariable poles/zeros, Smith-McMillan form
3.6
 
6 9/18
Matrix fraction description (MFD), coprime factorization Interpretation of poles and zeros
HW #2 due, HW #3
7 9/21
Signals & Systems
4
 
8 9/25
H2 and Hinf norms
4
 
9 9/28
Computation of H2 and Hinf norms, Internal Stability
5
HW #3 due, HW #4
10 10/2
Multivariable Nyquist Criterion
notes
 
11 10/5
Stable coprime factorization
5
 
12 10/16
Performance consideration
6
HW # 4 due, Midterm
13 10/19
Model reduction, balanced realization
7
14 10/23
Model identification
notes
15 10/25      
16 10/26      
17 10/30      
18 11/2      
19 11/6      
20 11/9      
21 11/13      
22 11/16      
23 11/20      
24 11/27      
25 11/30      
26 12/4      
27 12/7      
28