|
Week
|
Lecture Topic | Reading
Assignment | Homework and
Laboratory Exercise Assignments |
|
1
(8/24 - 8/28)
|
- course introduction
- closed
loop control
- PID control
- video demonstrations
- MatLab introduction
Meet in Viking Classroom (B205) on Friday 8/28 for Matlab work |
Ch 1;
handouts |
HMWK 0: sign up for the MECH417-L course
Listserv
group selection survey
sheet
(due Fri, 8/28)
Lab 1 - MatLab (individual) [see
Lab 1 hints and Lab
1 requirements summary]
due Fri, 9/4
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|
2
(8/31
- 9/4)
|
Laplace
Transform Approach
- properties
- LTI systems
- transfer functions
- partial
fraction expansion
- inverse transform
- ODE solution
- Simulink
introduction
|
App. B
|
HMWK 1 (App B and MatLab): B.1 b, c, d (b and c by
hand, integration by parts for c) B.2 a, c, e (use cosine sum trig
identity), g (for a, c, e) B.3 a, b (hint: see Equations B-12
and B-13), e (for a and b only)
B.10 (use Laplace techniques;
a constant forcing function is a step function
(i.e., it starts at time=0);
use Equation B-13 to handle repeated root)
due Fri, 9/11
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|
3
(9/7 - 9/11)
|
Labor Day (no class on Monday,
9/7) 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) Lab 2
correction: in Section 1, replace "thermo" with "sldemo_househeat" Lab
2 hint: the PID block is located under "Simulink Extras" - "Additional
Linear"
[see Lab 2 requirements summary]
due Fri, 9/18
|
|
4
(9/14
- 9/18)
|
- servomotor modeling example
- signal
flow graphs
- Mason's gain formula
- servomotor speed control simulation
| 2.4, 2.7, 2.12 |
HMWK 2 (Ch 2):
2.1, 2.3 (Remember that for
an ideal op amp, the input currents are zero and the input voltages are equal. Assume ideal op amps.),
2.8
a (have the source node be 1 and create constants as branches from this
single node), b, e, f (using solve), 2.14 c, d (with Y= X1), 2.17
c, d, e (use the block diagram and definitions for G1, G2,
G3, and H given in class; draw a signal flow diagram; use parts
a and b from class), 2.22 (use Equation 2-13 wherever possible)
due Fri, 9/25
|
|
5
(9/21
- 9/25)
|
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):
4.1
(use the two data points provided
to find the parameters; label the
unit
step response curve
with the parameters you find),
4.4 (for the sketch,
label
key time response specs),
4.5 (for g, use tf and step),
4.19
(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, 10/2
|
|
6
(9/28
- 10/2)
|
Control System Characteristics - closed
loop system
- stability
- sensitivity
- disturbance rejection
- steady
state accuracy
| Ch 5 |
HMWK 4 (Ch 5): 5.1, 5.3, 5.6, 5.11
due Fri, 10/9
|
|
7
(10/5 - 10/9)
|
Stability Analysis
- Routh-Hurwitz
criterion
- special cases
- auxiliary polynomial
| Ch 6 |
HMWK 5 (Ch 6):
6.1, 6.3, 6.11
due Wed, 10/14
|
|
8
(10/12
- 10/16)
|
Exam I Review Root Locus Technique
- open loop function
- graph
features
- angle criteria
- graph construction techniques
- asymptotes
| 7.1
- 7.2 | |
|
9
(10/19 - 10/23)
|
EXAM I - Mon, 10/19
Frequency
Response Techniques
|
7.3 - 7.5 | HMWK 6
(Ch 7):
7.4 (for b: using Matlab rlocus function;
you might need to
adjust the scale on the imaginary axis to make the Matlab root locus recognizable),
7.6 (for g: observe system output
oscillation for a step input), 7.7
(use Routh arrays and auxiliary polynomials to determine the j-axis crossings,
and use this K value in your Simulink model to verify pure oscillation and
the period)
due Wed, 10/28
|
|
10
(10/26 - 10/30)
|
- Bode Diagram
- phase
diagram
- Nyquist criterion
| 8.1 - 8.3 |
|
|
11
(11/2 - 11/6)
|
- Nyquist
diagram
- poles at the origin
- relative stability (gain and phase
margins)
No class on Friday, 11/6 - PLI Day
|
8.4 - 8.6 |
HMWK 7 (Ch 8): 8.1, 8.5, 8.10,
8.14
(for b, see Section 8.3.2)
due Wed, 11/11 (WARNING: please start this
HMWK early) |
|
12
(11/9 - 11/13)
|
Exam II Review Frequency
Response Design - phase-lag compensation
- phase-lead compensation
| 9.1 - 9.7 |
|
|
13
(11/16 - 11/20)
|
EXAM II - Wed, 11/18
- PI controller
- PD controller
- PID
controller
| 9.8
- 9.12 | HMWK 8 (Ch 9):
9.2, 9.5
(for a: use w = .5, 1;
for d: think about gain effect on Bode diagrams),
9.11 a, b, c, f
(for b only), 9.16
due Wed, 12/2
|
|
14
(11/23
- 11/27)
|
Thanksgiving
Break (no classes) | |
|
|
15
(11/30
- 12/4)
|
State Variable Models and
Modern Control |
App. A; 3.1, 3.2; 10.1, 10.2
|
HMWK 9 (Ch 3):
3.1 a, b; 3.2 a, b
due Mon, 12/7
|
|
16
(12/7 - 12/11)
|
- pole placement
- Ackerman's
Formula
Final Exam Review
| | |
| |
FINAL EXAM (Tuesday, 12/15, 3:40-5:40pm)
in
same room as lectures | | |