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KOM 615E
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Course Information
Course Name
Turkish
dağtık parametreli sistemlerin modellenmesi ve kontrolü
English
Model.&Cont.of Dist.Param.Sy.
Course Code
KOM 615E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
-
3
3
-
-
Course Language
English
Course Coordinator
Mustafa Doğan
Course Objectives
1. Understanding semigroups of linear operators and their properties.
2. Learn and interpret advanced methods, important theorems and proof methods related to
nonlinear semigroups, stability, and invariance principles
3. Learn and interpret advanced methods, important theorems and proof methods related to
analytical solutions to PDEs.
4. Learn and interpret advanced control methods, important theorems and proof methods
related to boundary control, observer design and nonlinear control techniques
5. Acquire recent research directions on numerical methods on DPSs and develop his/her
written or oral communication skills
Course Description
Introduction to distributed parameter systems, Introducing a broad class of physical dynamical
systems that emerge in many areas such as biology, mechanical or electrical engineering,
communication, transportation. Mathematical modeling of distributed parameter systems with
partial differential equations (PDE), Analytical and numerical solution of PDE equation sets,
Analysis of PDE models, boundary controller and observer design, simulations
Course Outcomes
1. To be able to gain knowledge of Banach spaces and semigroup theory
2. To be able to model distributed parameter systems and design boundary controllers,
observers.
3. To be able to solve PDEs analytically and numerically.
4. To be able to follow and understand the scientific literature published in this area.
5. To be able to present the results of his/her scientific research written in the form of a
scientific paper, and orally in the form of a conference proceeding.
Pre-requisite(s)
Required Facilities
Intermediate level use of Mathematica, MATLAB, SIMULINK and Symbolic
Toolbox is required to be able to accomplish project assignments.
Other
Textbook
1- Stability and Stabilization of Infinite Dimensional Systems with Applications,
Z.H. Luo, B.Z. Guo, O. Morgul, Springer, 1999.
2- A Practical Guide to Geometric Regulation for Distributed Parameter Systems,
E. Aulisa, D.Gilliam, CRC, 2016.
3- Optimal Measurement Methods for Distributed Parameter System ID, D.
Ucinski, CRC, 2005.
4- Fundamentals of vibrations, İ. Meirovitch, McGraw-Hill, NewYork, 2001.
5- Numerical Methods in Electromagnetism, M. V. K. Chari, and S. J.,Salon,
Academic Press, San Diego, 2000.
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