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Week
|
Lecture Topic | Reading
Assignment | Homework and
Laboratory Exercise Assignments |
|
1
(8/22 - 8/26)
|
- course introduction
- closed
loop control
- PID control
- video demonstrations
- MatLab introduction
Meet in Viking Classroom (B205) on Friday (8/26) for Matlab work |
Ch 1;
handouts |
HMWK 0: sign up for the MECH417-L course
Listserv
group selection survey
sheet
(due Fri, 8/26)
Lab 1 - MatLab (individual)
[see
Lab 1 hints]
due Fri, 9/2
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2
(8/29
- 9/2)
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Laplace
Transform Approach
- properties
- LTI systems
- transfer functions
- partial
fraction expansion
- inverse transform
- ODE solution
- Simulink
introduction
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App. B
|
HMWK 1 (App B and MatLab):
B.1 b, c, d (do b and c by
hand;
use integration by parts for c);
B.2 a, c, e, g
(for e use cosine sum trig
identity;
do g for for a, c, e only);
B.3 a, b, e (for b, see Equations
B-12
and B-13; do e for a and b only);
B.10 (use Laplace techniques;
a constant forcing function is a step function
starting at time=0;
use Equation B-13 to handle repeated roots)
NOTE - for B.3 and B.10, use partial fraction expansion
to reduce the transfer functions to their most basic forms
before using Appendix C)
due Fri, 9/9
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3
(9/5 - 9/9)
|
Labor Day (no class on Monday,
9/5) Modeling - electrical systems modeling
- basic
R, L, C circuits
- op amp circuits
- mechanical system modeling
- spring-mass-damper
systems
- rotational systems
- block diagrams
- closed
loop equations
| 2.1 - 2.3; 2.5-2.6 |
Lab 2 - Simulink (individual)
due Fri, 9/16
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|
4
(9/12
- 9/16)
|
- servomotor modeling example
- signal
flow graphs
- Mason's gain formula
- servomotor speed control simulation
| 2.4, 2.7, 2.12 |
HMWK 2 (Ch 2):
2.4; 2.5 (Remember that for
an ideal op amp, the input currents are zero and the input voltages are equal. Assume ideal op amps.);
2.11
a, b, e (for a, have the source node be 1
and create constants as branches from this
single node);
2.17 b; 2.18 b;
2.25
c, d, e (use the block diagram and
definitions for G1, G2,
G3, and H provided
in class during the solution to parts
a and b);
2.32 (use Equation 2-13 wherever possible)
due Fri, 9/23
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|
5
(9/19
- 9/23)
|
System Response - first-order
system
- step response
- second-order system
- time response
specs
- pole locations
- frequency
response
| 4.1 - 4.4 |
HMWK 3 (Ch 4):
4.2 (for b, use the closed-loop
K and τ parameters for the sketch)
4.5 (for the sketch,
calculate and label
all time-response specs that define
the shape of the response curve),
4.12 (for f, use tf and step),
4.20
(for a, express in
standard second order system form;
for e, use freqs,
and abs,
and plot over a frequency range
of 0 to 5 with an increment
of 0.1)
due Fri, 9/30
|
|
6
(9/26
- 9/30)
|
Control System Characteristics
- closed
loop system
- stability
- sensitivity
- disturbance rejection
- steady
state accuracy
| Ch 5 |
HMWK 4 (Ch 5):
5.2, 5.4 (in part d, repeat part c, not part b),
5.10 (in part e, replace "plotting" with
"sketching, using part d and values at ω=∞"), 5.20
due Fri, 10/7
|
|
7
(10/3 - 10/7)
|
Stability Analysis
- Routh-Hurwitz
criterion
- special cases
- auxiliary polynomial
Exam I Review
| Ch 6 |
HMWK 5 (Ch 6):
6.1, 6.2 (use the conditions and
special cases presented in class),
6.15 (Note - the plant transfer function
in the book is wrong. It should be:
0.475 / (s(s^2 + 6s +7.5))
due Wed, 10/12
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8
(10/10
- 10/14)
|
Root Locus Technique
- open loop function
- graph
features
- angle criteria
- graph construction techniques
- asymptotes
| 7.1
- 7.2 | |
|
9
(10/17 - 10/21)
|
EXAM I - Mon, 10/17
Frequency
Response Techniques
|
7.3 - 7.5 | HMWK 6
(Ch 7):
7.6,
7.7 (for f, in verifying b-e, plot step response
for an example K value in each range to verify
the expected types of response),
7.8
due Wed, 10/26
|
|
10
(10/24 - 10/28)
|
- Bode Diagram
- phase
diagram
- Nyquist criterion
| 8.1 - 8.3 |
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11
(10/31 - 11/4)
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- Nyquist
diagram
- poles at the origin
- relative stability (gain and phase
margins)
No class on Friday, 11/4 - PLI Day
|
8.4 - 8.6 |
HMWK 7 (Ch 8):
8.1; 8.7;
8.12 a, b, c (for b, see Section 8.3.2;
also, the "a" in the exponential should be an "s");
8.16
due Wed, 11/9 (WARNING: please start this
HMWK early)
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12
(11/7 - 11/11)
|
Exam II Review Frequency
Response Design - phase-lag compensation
- phase-lead compensation
| 9.1 - 9.7 |
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13
(11/14 - 11/18)
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EXAM II - Mon, 11/14
- PI controller
- PD controller
- PID
controller
| 9.8
- 9.12 | HMWK 8 (Ch 9):
9.2 (for a, just use the closest appropriate
table values instead of interpolating);
9.3 (for d, use MATLAB instead of Simulink
and right click on step
response plot to add "Characteristics");
9.4; 9.15; 9.20 a, d (also determine the expected
vs. actual settling time; do "d" for "a" only);
9.24 (use a phase-margin frequency of 5 rad/sec,
and determine the estimated and actual settling time)
due Wed, 11/30
(WARNING: please start
this
HMWK early)
|
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14
(11/21
- 11/25)
|
Thanksgiving
Break (no classes) | |
|
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15
(11/28
- 12/2)
|
State Variable Models and
Modern Control |
App. A; 3.1, 3.2; 10.1, 10.2
|
HMWK 9 (Ch 3):
3.2 a, b; 3.4 a, b
due Mon, 12/5
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16
(12/5 - 12/9)
|
- pole placement
- Ackerman's
Formula
- controller implementation options
Final Exam Review
| | |
| |
FINAL EXAM (in
same room as lectures)
Wednesday, 12/14, 9:40-11:40 am | | |