SYST611: System Methodology and Modeling

Fall 2007

 

Instructor: Dr. K. C. Chang                      Class room: IN, Rm 203

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

kchang@gmu.edu

 

 

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Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture10

Lecture11

Lecture12

 


Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Solution 1

Solution 2

Solution 3

Solution 4

Solution 5

 


 

Course Description

 

          This course provides a broad, yet rigorous, introduction to modeling and 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.  This is a required basic method course for Systems Engineering MS program.

 



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.



Course Materials

 

         1. David Luengerger, 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.Dicknson, Systems-Analysis,Design,and Computation. Prentice Hall Inc.,1991
        2. Naim A. Kheir, Systems Modeling and Computer Simulation, Dekker, 2nd ed., 1996.


 

Tentative Course Outline

 

 

 

Topics

Assignments

Unit #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

Examples (MATLAB)

Unit #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

Unit #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 

 

Unit #4

Discretization Techniques Analysis, Stability,

Nonlinear Systems, Solution of Nonlinear Systems, Iterated Numerical methods

Class notes

JD:Ch. 19.1-2

BD:p.124-138, 159-179  Example (MATLAB)

Unit #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

BD: p.180-202

Examples (MATLAB)

Unit #6

 

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

Class notes

 

Mid term Examination

Units 1-6

Unit #7

Introduction to Uncertainty and Stochastic Process, Noisy Linear Systems

Class notes 

Examples (MATLAB)

Unit #8

Markov Process and Markov Chains,

Systems Reliability

DL:Ch. 7

Class notes 

Unit #9

Resource Allocation problems, Parameter Optimization, Constraints

Class notes 

BD:p234-254

Unit #10

 

Linear Programming, Systems Engineering Applications, Case Study

Class notes

Examples (Excel)

Unit #11

Dynamic Programming, Systems Engineering Applications, Network Problem

Class notes

Unit #12

Optimal Control

DL:Ch. 11, Class notes

 Example (MATLAB)

  

Course Review

Class notes  

 

Final Examination

Units 1-12

 

Final Examination

Units 1-12