EE 6100 Fall '97 Assignments

Reading Assignments

Homework Assignments

Reading Assignments

Reading Assignments

 Week
  Reading Assignments  Related Illustrated Problems

Week 1 

 Background Material:

Chapters 1, 2 and 4

  4.1-4.3, 4.9, 4.12,4.16, 4.17, 4.19, 4.20

 Week 2
  Finish Background Material and Start Chapter 3  

 Week 3
  Chapter 3  3.1-3.8, 3.11

 Week 4

 Chapter 7, Sect. 1-5

Chapter 9, Sect 1-7

  7.1-7.7, 9.1-9.9

 Week 5

 Chapter 8

Chapter 9, Sect 5-12

  8.13, 8.15-17, 8.20-21, 8.24

 Week 6
  Chapter 10, Sect 10.1,10.4  10.2-10.5. Also, draw the phase plane plot for the following systems: 1) A=[-8 1;-4 0], 2) A=[2 1;4 0]. (solutions)

 Week 7-8
  Chapter 11, Sect 11.1-11.6, 11.8  11.1-11.17, 11.20-11.21

 Week 9-10

 Chapter 12, Sect. 12.1

Chapter 13, Sect 13.1-13.4 (not MIMO state feedback), 13.6-13.6.2, 13.7

 12.1-12.5, 13.5,13.9-13.11 (use only the first row of C, and second col of B)

Answer to 13.9:
Settling time about 4 time constants, so let desired poles be -5, -5 ,-6 (to give some tolerance), then L=[-21.3333 -19.3333 31.3333]

Answer to 13.10: L=[-316 -161 336]'

Answer to 13.11:
K=[-24 63 11]
if poles of observer are at -8, -8,-10, then L=[-316 -161 336]'. If poles are at -25, -28, -30, then L =1.0e+004 *
[ -2.5330 -1.0557 2.5407] which may be a little large. Something in between the two might give good results for filtering as well as convergence of the observer.

 

Homework Assignments

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List of Assignments

Assign.#

Topic

Due Date

Solution

1
 Linear algebra/State equations October 2

available

2
 State Space Realizations October 9

available

3
 Similarity Transformations, Solution to State Equations October 16

 available

4
 Eigenvalues and Eigenvectors and solving the state equations October 30  available

5
  State transition matrix and discrete-time solution  November 6  available
 10.2-10.5. Also, draw the phase plane plot for the following systems: 1) A=[-8 1;-4 0], 2) A=[2 1;4 0].

 Practice problems,

not to be turned in

 

available

6
  Observability and Controllability  November 25  available

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