EEE 582
Linear Systems
Fall 2014
TTh 12:00-1:15, CDS13

Instructor: Kostas Tsakalis, GWC 358, 965-1467, tsakalis
This page: http://tsakalis.faculty.asu.edu/
Textbook: Chen, Linear System Theory and Design,Oxford

Course Outline:

Grading: HW 15%, 2 Midterms 50% total (drop worst score), Final 35%
Absolute Grading Scale: A > 85 > B > 70 > C > 50 > ... E
(Cut-off points may decrease depending on the final grade distribution.)

Grade distribution after the 5th test
ALL TESTS ARE CLOSED-BOOKS/NOTES.  One sheet of formulae allowed.

Final Exam: Tue, Dec 9, 12:10-14:00

Academic integrity policy:

https://provost.asu.edu/index.php?q=academicintegrity

 



HW Assignments, Notes

Notes:   Linear Algebra,   Stability/Controllability/Observability
Examples of Observers and Integrator Augmentation
Solved Problems


HW#1, Due  9/11 SOLUTIONS

Problems 1, 2, 3, 4 from the linked file EEE582 Homework Problems

EEE 582, Test 1, 9/18. Material: HW#1 SOLUTIONS
Basic Definitions, System Models, Linearization, Continuous/Discrete-time systems.

HW#2, Due  9/25 SOLUTIONS

Problems 5, 6, 7, 8, 9, from the linked file EEE582 Homework Problems


EEE 582, Test 2, 10/2. Material: HW#2 SOLUTIONS
Linear Algebra review, Jordan forms, SVD


HW#3 Due 10/9 SOLUTIONS

Problems 10-18 from the linked file EEE582 Homework Problems

 

EEE 582, Test 3, 10/16. Material: HW#3 SOLUTIONS
Matrix exponential, Solution of State equations, Stability


HW#4  Due  10/30 SOLUTIONS

Problems 19-24 from the linked file EEE582 Homework Problems


EEE 582, Test 4, 11/6. Material: HW#4 SOLUTIONS
Controllability, Observability


HW#5  Due 11/13  SOLUTIONS

Problems 25-32 from the linked file EEE582 Homework Problems

 

EEE 582, Test 5, 11/20. Material: HW#5 SOLUTIONS
Realization Theory, Canonical forms (Kalman, Observable, Controllable, Balanced)

 

HW#6  Due  12/2 SOLUTIONS

State Feedback , State Estimation, Observers, Output Feedback, Separation Principle

Problems 33-39 from the linked file EEE582 Homework Problems

 


HW # Minimal Realization using Matlab
Consider the 2 x 2 6th order system defined by appending the tranfer functions of each input to each output:
H_11(s) = 1/(s+1), H_12(s) =  1/(s+1)+1/(s+2), H_21(s) = 1/(s+2), H_22(s) = 1/[(s+1)(s+2)]
1. Use the Kalman canonical decomposition theorem (see notes) to compute a minimal realization of this system
2. Use balanced truncation to compute reduced order models of orders 2 and 3 and use Bode plots/step responses to analyze the reduction error.

HW #SVD: See linked m-file, answer questions at the end