SYST611: System Methodology and Modeling

Spring�� 2003

 

http://ite.gmu.edu/~kchang/

 

����������� Instructor: Dr. K. C. Chang��������������������� Class room:� ST 110

�� �������� Class time: Tu, 4:30-7:00 PM��������������������� Office hours: M, Tu, 3:00-4:30 PM

�� �������� Office phone: (703) 993-1639�������������������� Office no.: SITE-II: Rm 315

����������� Email: [email protected]

Course Description

 

����������� This course provides a broad, yet rigorous, introduction to methodologies for Systems Engineering.� Emphasis is on systems modeling and performance.� These methodologies address system performance issues and assist in the evaluation of alternative system designs.� Resource allocation for planning and control is also introduced.

 

Prerequisite

 

����������� SYST500 or appropriate mathematical foundation including calculus, differential equations, matrix algebra, and applied probability.

 

Course Assignments and Grading

���� ������ This course will have homework assignments, a mid term, and a final exam.� They will constitute 30%, 30%, and 40% of the grade, respectively.� The homework that is assigned in the lecture is due in two weeks.��

 

Required texts

1.� David Luenberger, Introduction to Dynamic Systems, Wiley,1979.

2.     Joseph J. DiStefano, III, et al.� Theory and Problems of Feedback and Control ��� Systems. �2rd Edition, Schaum's outline series, McGraw-Hill, 1994

 

�References

1. Bradley W. Dickinson, Systems-Analysis, Design, and Computation. Prentice Hall Inc., 1991

2. Naim A. Kheir, Systems Modeling and Computer Simulation, Dekker, 2nd ed., 1996.

 

 

Course Outline

 

 

�

Topics

Assignments

Lecture #1

Introduction, Course Overview and Prerequisite, Taxonomy of Models and Methods, Systems Concept and� Fundamentals

DL:Ch. 1-3

JD:Ch. 1-3, Class notes

BD:Ch. 1 + Appendix A

Lecture #2

Discrete Linear Systems, Input-Output and States, Stability, Computational Approaches,

Interconnected Systems and Block Diagram

DL:Ch. 4.1-4.5

JD:Ch. 4-6, Class notes

BD:p.79-98, p.115-119

Lecture #3

Continuous Linear Systems, Stability Issues,

Systems Characteristics in Various Domains,

Discretization of Continuous Systems,

Sampling Theorem

DL:Ch. 4.6-4.7, 5.9

JD:Ch. 5,10,15

Class notes�

Lecture #4

Discretization Techniques Analysis, Stability,

Nonlinear Systems, Solution of Nonlinear Systems, Iterated Numerical methods

Class notes

JD:Ch. 19.1-2

BD:Ch. 3, 4�

Lecture #5

System Linearization and Stability,

System Behavior and Phase Plane Analysis,�� Input-Output Analysis; Piece wise Linear

DL:Ch. 9.1-9.4

JD:Ch. 19.3-4

Class notes�

Lecture #6

�

Discrete Event Dynamic Systems; Overview of Deterministic Systems, Discrete, Continuous; Linear, Nonlinear; Discretization, Linearization; Stability; Computational Issues

Class notes

�

Mid term Examination

Lectures 1-6

Lecture #7

Introduction to Uncertainty and Stochastic Process, Noisy Linear Systems

Class notes�

Lecture #8

Markov Process and Markov Chains,

Systems Reliability

DL:Ch. 7

Class notes�

Lecture #9

Resource Allocation problems, Parameter Optimization, Constraints

Class notes�

BD:Ch. 5

Lecture #10

Linear Programming, Systems Engineering Applications, Case Study

Class notes

Lecture #11

Dynamic Programming, Systems Engineering Applications, Network Problem

Class notes

Lecture #12

Optimal Control

DL:Cph. 11, Class notes�

��

Course Review

Class notes��

�

Final Examination

Lectures 1-12