**24-352 DYNAMIC SYSTEMS & CONTROL**

**SPRING 2001**

**INSTRUCTOR**: Professor Jerry H. Griffin, 268-3860, SH 414, jg9h@andrew.cmu.edu

Office hours: to be determined

**TA**:
Kyun Hee Koh, 268-2870, SH222 kkoh@andrew.cmu.edu

**GRADER**:
Raymond Good, 414-8128, CIT Dean's Office, SH 1st flr. reg@andrew.cmu.edu

**GOAL**:
The purpose of the course is develop and understanding of the analogy
that exists in the dynamic behavior of mechanical, electrical, fluid and thermal
systems. A good understanding of this analogy will significantly increase your
physical insight of how the world works. The basis of this analogy is that, in
general, dynamic systems satisfy either first or second order differential
equations and , consequently, either exhibit exponential decay(1st order) or oscillatory
behavior(2nd order) in their dynamic response.

We will develop and understanding of how to model these systems, derive their governing differential equations, and solve for their transient and harmonic response using Laplace transforms. We will see that their frequency response may be characterized in terms of transfer functions that respond as high or low pass filters (1st order systems) or exhibit resonant peaks (2nd order systems). We will learn to use block diagrams to depict the transfer functions of the various components of a system. The use of block diagrams will be extended to incorporate feedback and provide a closed loop control mechanism for the system.

The students will explore these concepts by performing a variety of experiments in the engineering measurements laboratory where they will use a spectrum analyzer to measure the dynamic response of electrical, and mechanical systems.

**TEXT**: "Modeling and Analysis of Dynamic Systems", by Close and
Frederick.

**GRADES**:

Overall Weighting: 40% Final Exam, 30% Quizzes, 15% Homework, 15% Labs

Quizzes: Approximately 45 minutes/quiz.

7 Quizzes total - one every other Monday starting Jan. 29. We will miss one during the week of spring break and start again on April 2.

Drop lowest Quiz grade

Closed book and notes

Missed Quizzes: Notify instructor in advance and take quiz early. If you miss a quiz because of an emergency then proper documentation of the emergency is required.

Final Exam: 3 Hours scheduled during exam week. 1 sided crib sheet allowed.

Letter Grade: A³80, 80>B³70, 70>C³60, 60>D³50, 50>R

**HOMEWORK**:

Professional standards apply:

1. Due at beginning of class on Wednesday. Zero credit for late homework unless arrangements made in advance. You can discuss problems with other students. Copying work is against University regulations.

2. If you have to miss an assignment notify me in advance by 24 hours and we will make arrangements. If I am not notified in advance because of an emergency then proper documentation of the emergency is required.

3. Homework solutions must be written in a professional manner. You may loose from 50-100% if your homework is poorly written.

**LAB GROUPS**:

Students will work in groups of three, so choose two lab partners. Turn in the names of your group at the beginning of lecture, Wednesday, Jan. 17. Partners will be assigned for the remaining students by the TA.

**ATTENDANCE**:

Attendance is required. If you have a problem please see me.

**LABORATORY TOPICS**

An expanded list of topics will be handed out later in the course. They will include:

1. The use of an oscilloscope and a spectral analyzer.

2. Impulse response of a mechanical system.

3. The frequency response of an electrical LRC circuit.

4. Measuring and modeling the response of an electric motor.

5. Feedback and control of electric motor.