SYST611: System Methodology and Modeling
Fall 2009
Instructor: Dr. Frederick Wieland Class room: Robinson Hall, A101
Class time: Thursdays, 7:20-10:00 PM
http://classweb.gmu.edu/fwieland
News
Homework 8 is posted. It is due Thursday November 19, and has four problems. It will take you a little longer than usual to do the homework, so you might want to get started early.
When emailing the instructor, please include SYST 611 as the first words in the subject line of the email.
| Solution 5 | Solution 6 |
Solution 7 |
Solution 8
Course Description
This course provides a broad, yet rigorous, introduction to mathematical techniques, including modeling, 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. Techniques for solving advanced mathematical relationships that arise during the systems modeling process are emphasized. 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 (not required)
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.
Preliminary Schedule (subject to change)
First class, September 3, 2009
Homework #1 due September 10th, homeworks due weekly after that.
Midterm exam, October 15th
Final exam, December 17th
Tentative Course Outline
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Topics |
Assignments |
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Unit #1 |
Introduction, Course Overview and Prerequisite, Taxonomy of Models and Methods, Systems Concept and Fundamentals, Algebraic Techniques |
DL:Ch. 1-3 JD:Ch. 1-3, Class notes |
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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 |
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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
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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) |
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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) |
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Unit #6
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Discrete Event Dynamic Systems; Overview of Deterministic Systems, Discrete, Continuous; Linear, Nonlinear; Discretization, Linearization; Stability; Computational Issues |
Class notes |
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Mid term Examination |
Units 1-6 |
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Unit #7 |
Introduction to Uncertainty and Stochastic Process, Noisy Linear Systems |
Class notes Examples (MATLAB) |
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Unit #8 |
Markov Process and Markov Chains, Systems Reliability |
DL:Ch. 7 Class notes |
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Unit #9 |
Resource Allocation problems, Parameter Optimization, Constraints |
Class notes BD:p234-254 |
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Unit #10
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Linear Programming, Systems Engineering Applications, Case Study |
Class notes Examples (Excel) |
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Unit #11 |
Dynamic Programming, Systems Engineering Applications, Network Problem |
Class notes |
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Unit #12 |
Optimal Control |
DL:Ch. 11, Class notes Example (MATLAB) |
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Course Review |
Class notes |
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Final Examination |
Units 1-12 |
Final Examination
Units 1-12