SYST 202:� Continuous Dynamic Systems Modeling

Spring 2002

Course Overview

John Shortle

Systems Engineering and Operations Research

George Mason University

In engineering, it is important to predict the behavior of systems that change in time.� Such systems are called dynamical systems.� This course teaches students to model a large class of physical systems and to solve these systems both analytically and numerically.� This course is a follow on to SYST 201; here, the focus is on continuous time systems.� A supplemental one unit course, SYST 203, teaches students to solve dynamical systems numerically using a computer.

Class Hours: Tuesday and Thursday, 3 pm � 4:15 pm, Robinson B 220

Pre-requisites:� SYST 201

Co-requisites:� � MATH 203 (matrix algebra)

MATH 214 (differential equations)

PHYS 260 (Physics II)

Instructor: ������� John Shortle

����������������������� [email protected]

����������������������� 703-993-3571

����������������������� Science & Tech II, room 313

����������������������� Office hours: ��� Tue / Thu 1:30 pm � 3 pm

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Textbook:��������� C. Close and D. Frederick, Modeling and Analysis of Dynamic Systems, 3rd Ed.� John Wiley & Sons, 2002.

Course Syllabus

1. Introduction � modeling, classification of systems, applications, systems engineering

2. Systems Modeling � physical elements, interconnection lawas, building models

1. Translational Mechanical Systems
2. Rotational Mechanical Systems
3. Electrical Systems

3. Systems Analysis

1. Standard Forms � state variables, input-output equations, matrix formulation.
2. Block diagrams � using blocks to solve modeling equations, dynamic systems
3. Solutions using Laplace transforms � definition, properties, inversion, solving systems.
4. Transfer functions �zero-input response, zero-state response, frequency response.
5. Feedback modeling

Student Evaluation Criteria

10 homework assignments	20%
Group project	10%
Midterm 1	20%
Midterm 2	20%
Final exam	30%

SYST 202

Schedule for Spring 2002

Tue. Jan. 22	Chapter 1
Thu. Jan. 24	Chapter 2
Tue. Jan. 29	Chapter 2
Thu. Jan. 31	Chapter 3	Hmwk #1 due
Tue. Feb. 5	Chapter 3
Thu. Feb. 7	Chapter 4	Hmwk #2 due
Tue. Feb. 12	Chapter 4 / 5
Thu. Feb. 14	Chapter 5	Hmwk #3 due
Tue. Feb. 19	Chapter 5
Thu. Feb. 21	Review	Hmwk #4 due
Tue. Feb. 26	Exam 1: Chap. 1-5
Thu. Feb. 28	Chapter 6
Tue. Mar. 5	Chapter 6
Thu. Mar. 7	Chapter 6	Hmwk #5 due
Tue. Mar. 12	Spring Break
Thu. Mar. 14	Spring Break
Tue. Mar. 19	Chapter 6
Thu. Mar. 21	Chapter 7	Hmwk #6 due
Tue. Mar. 26	Chapter 7	Group project midterm reports
Thu. Mar. 28	Chapter 7	Hmwk #7 due
Tue. Apr. 2	Chapter 8
Thu. Apr. 4	Chapter 8	Hmwk #8 due
Tue. Apr. 9	Review
Thu. Apr. 11	Exam 2: Chap. 5-8
Tue. Apr. 16	Chapter 8
Thu. Apr. 18	Chapter 13	Hmwk #9 due
Tue. Apr. 23	Chapter 13
Thu. Apr. 25	Chapter 14	Group projects due
Tue. Apr. 30	Chapter 14
Thu. May 2	Review	Hmwk #10 due
Tue. May 14	Final Exam, 1:30 pm � 4:15 pm