# EE 4314 Control Systems Spring 2011 Final – May 10, 2:00-4:30, in ...

Electronics - Devices

Nov 15, 2013 (4 years and 6 months ago)

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EE 4314

Control Systems

Spring

2011

Final

May
10
,
2:00
-
4
:30
, in
-
class

The exam will
be comprehensive. Expect 5

questions
, including

one covering general questions to test

Bring a 5

page

double
-
sided cheat sheet. Any additional tables will be
provided to you.

Calculators and cell phones will not be allowed during the exam.

Here is a l
ist of to
pics to study for the final
:

1)

Homeworks
1
-
6

problems
, Midterm
problems

2)

Math Review:

a.

Derivatives, Integration

b.

Trigonometry

c.

Power series

d.

Complex numbers: phase, magnitude, conversion

e.

Vector spaces, norms, dot product

f.

Matrices (determinant, rank, eigenvalues, eigenvectors), systems of equations (Cramer’s
rule)

g.

Lecture notes (websit
e)

h.

Appendix

chapter, textbook
, including examples

i.

Chapter 1,
B.W. Dickinson book (on reserve, optional)

3)

Signals/Systems Review

a.

Energy, power

b.

Signal classification, basic types: unit, delta, exponential/

c.

Operations: shift, reversal, scaling, combined

d.

System Linearity: superposition and decomposition

e.

System I/O description, internal states

f.

Zero
-
input and zero
-
state responses

g.

Lecture notes (website)

h.

Review 3317/3318 courses

Focus on Understanding Material Covered by Course Objectives

1.

Modeling o
f physical dynamic systems

2.

Block diagrams

and
Signal
-
flow graphs

3.

Specifications of feedback system performance

4.

-
state performance of feedback systems

5.

Stability of feedback systems

6.

Root
-
locus method of feedback system design

7.

Frequency
-
response m
ethods

1.

Nyquist’s criterion of feedback loop stability

2.

Bode design method

3.

Design using classical compensators

8.

State variable feedback

(both continuous and discrete).

4)

Covered c
ourse content

a.

Introduction to feedback control systems and brief history

b.

Dynamic Models: examples of circuits and mechatronic systems

Lagrange method is
optional.

c.

Block diagrams

Mason’s rule is optional.

d.

Stability

e.

Response of first

and second order systems

f.

Basic Properties of Feedback: Sensitivity, Noise, Disturbances,
Tracking, Regulation,
-
State errors and system type.

g.

PID control

gain selection and role of parameters.

h.

State
-
space system description and control

i.

Full
-
state feedback

Ackerman’s formula

j.

Controllable and Observable Canonical Forms

k.

Controllability
/
Obse
rvability Matrix

l.

Root Locus

m.

Bode Plots, Gain Phase Margin, Lead
-
Lag compensators

n.

Nyquist plots and stability criterion

o.

Digital control, Nyquist frequency, digital system equivalent

1)

Lecture notes (website)

2)

C
hapters 1
-
4, 8

Textbook, Sections,
5.1
-
5.5, 6.1
-
6.7,
7.1
-
7.5

3)