2.004 | Fall 2007 | Undergraduate

Systems, Modeling, and Control II

Syllabus

Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

Labs: 1 session / week, 1 hour / session

Prerequisites

Dynamics and Control I (2.003J), Physics II: Electricity and Magnetism (8.02)

Text

Nise, Norman S. Control Systems Engineering. 4th ed. Hoboken, NJ: John Wiley, 2003. ISBN: 9780471445777.

Problem Sets

Problem sets are due in class as shown on the class schedule.

Quizzes

There will be two quizzes as shown on the class schedule.

Final Examination

There will be a three hour final examination (closed book) covering all of the course material during the final examination period; the exact time to be scheduled by the Registrar’s Office.

Grading

ACTIVITIES PERCENTAGES
Quizzes (2) 20%
Final exam 30%
Labs (required) 25%
Homework 25%

Homework Grading

3 points/problem: 3=perfect, 2=small mistake(s), 1=major mistake(s), 0=no attempt.

Lab Grading

3 points/lab: 3=exemplary, 2=adequate, 1=fair, 0=inadequate or no show.

Late Policies

20% of the grade will be deducted for every working day past the due date (i.e., no credit after 5 days).

Course Ethics

Collaboration is prohibited in the quizzes and the final examination. You are encouraged to discuss problem sets and lab assignments but you must write the solutions yourselves.

Use of material from previous years is forbidden.

Topics

SES # TOPICS
1 Introduction; mechanical elements
2 Solving ODEs; cruise control
3 Laplace transforms; transfer functions; translational and rotational mechanical transfer functions
4 Electrical and electro-mechanical system transfer functions
5 DC motor transfer function
6 Poles and zeros; 1st order systems
7 2nd order systems
8 2nd order systems (cont.)
9 More than 2 poles; zeros; nonlinearities and linearization
10 Examples of modeling and transfer functions
11 Block diagrams; feedback
12 Analysis of feedback systems
13 Quiz 1
14 Stability; Routh-Hurwitz criterion
15 Stability analysis
16 Steady state error analysis
17 Root locus introduction
18 Root locus example
19 Design of transient response using root locus
20 Positive feedback
21 Examples of design via root locus
22 Steady-state error compensation
23 Transient response compensation; transient and steady-state error compensation
24 Compensation examples
25 Feedback compensation and its physical realization
26 Feedback design examples
27 Quiz 2
28 Frequency response; bode plots
29 Bode plot examples
30 Gain margin and phase margin
31 Design using the frequency response; lead, lag, lead-lag compensators
32 The state-space representation
33 Solving the state equations in the time and space domains
34 State equation examples
35 Stability and steady-state error in state space; controllability and observability
36 Optimal control; the minimum time problem
37 Review: modeling and transfer functions
38 Review: root locus, feedback design
39 Review: frequency domain and design

Course Info

Learning Resource Types
Problem Sets with Solutions
Exams
Lecture Notes