MECH417 Syllabus (Fall, 2009)


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

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

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

  • breakaway points

Frequency Response Techniques

  • frequency response

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)

  • 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):
3.1 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