MECH417 Syllabus (Fall, 2011)


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

2

(8/29 - 9/2)

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 (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

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

 

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

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

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

  • breakaway points

Frequency Response Techniques

  • frequency response

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

 

11

(10/31 - 11/4)

  • 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)

12

(11/7 - 11/11)

Exam II Review

Frequency Response Design

  • phase-lag compensation
  • phase-lead compensation
9.1 - 9.7

13

(11/14 - 11/18)

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)

14

(11/21 - 11/25)

Thanksgiving Break (no classes) 
 

15

(11/28 - 12/2)

  • pole balancer case study

State Variable Models and Modern Control

  • state-space system
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

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