EEL 3657
Homework # 2 Due Sep 20 in class
Covers Linearization and a question on transfer functions. Your notes and the textbook
should be ample material to solve these problems. For Q3, you might need to consult
your circuits course notes.
1. Find all th
EE 450/550 Final Exam - Dec 8, 2003
1. A unity feedback closed-loop system has a feedforward transfer function G (s) =
Design a compensator such that the DCLPs are located at s =
1
j 1. (30)
1
.
s
2. Derive an expression for the resonant frequency for a s
EE 450/550 Test # 1 - In Class - Oct 19
l. A unity feedback system has a feedforward transfer function G (s) 1
steady
= ;. What is the
state response of the closedloop system to a step input. (15)
ystem, sketch a sample root location, mark the
natu
EE 450/550
Test # 1 - Oct 20, 2005 in class
equation to calculate a formula for v (
for the proportionality constant. Hint
2. Linearize the following system
1.51-
ject velocity. Solve the dynamical
t) assuming that 21(0) 2 '00. Use symbol is
:
EE 3657 Mid-term I - Feb 27, 2007
Duration: 1 hour 15 minutes
1. Linearize the nonlinear equations
z1
z2
in the region dened by 2
x
=
xy
x2 + 8xy + 3y 2
4; 10
y
12. (50)
2. In response to a voltage source v (t) applied to a series combination of a capacit
EE 3657 Test 1 - October 02, 2012
1. Find the inverse Laplace transform of F (s) =
5e s
. (25)
(s + 1)2
2. Find all xed points for the following dynamical system and linearize the system about
those points: (45)
x=
_
y=
_
0=
0=
0=
x + x3 + y (1 + y )
x (1
EEL 3657
Homework 7 Not Graded - Assigned as Self Study
Covers Nyquist and Bode. Your notes and the textbook should be ample material to solve
these problems. Use MATLAB as much as you can.
1. B-7-3
2. B-7-4
3. B-7-8
4. B-7-10
EE 3657
Homework # 6 Assigned Wed Nov 14 - Due Tu Nov 20
Covers Compensator Design by Root Locus. Your notes and the textbook should be
ample material to solve these problems.
1. Given a unity feedback system with G s
1
, design a cascade compensator to
EE 3657
Homework # 5 Assigned Oct 30 - Due Nov 8
Covers Root Locus. Your notes and the textbook should be ample material to solve these
problems.
1. The control of a satellites attitude is described by the simple equation: G s
1
. Use
s2
the root locus p
EE 3657
Homework # 4 Assigned Tue Oct 16 - Due Tue Oct 23
Covers Routh and Steady-State Errors. Your notes and the textbook should be ample
material to solve these problems.
1. The polynomial a( s) s 6 4s 5 3s 4 2s 3 s 2 4s 4 satisfies the necessary
condi
EE 3657
Homework # 3 Assigned Mon Oct 8 - Due Tu Oct 16
Covers First and Second Order Systems. Your notes and the textbook should be ample
material to solve these problems.
1. Discuss the relationship between the poles of the system H s
2s 1
and the
s 2s
EEL 3657 Homework # 1 Due Tu Sep 11
Covers LDEs, modeling of simple physical systems, Laplace transforms.
Assume/discover any constants, parameters, or initial conditions that you feel might help
toward a good grade. Your notes and the textbook should be