MATHEMATICS (TURKISH, PHD)
PhD TR-NQF-HE: Level 8 QF-EHEA: Third Cycle EQF-LLL: Level 8

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
EEE4316 Digital Control Systems Fall 3 0 3 6
The course opens with the approval of the Department at the beginning of each semester

Basic information

Language of instruction: En
Type of course: Departmental Elective
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Dr. Öğr. Üyesi BARAN ALİKOÇ
Course Objectives: This is an optional course where the following topics of digital control systems are covered: Fundamentals of sampled linear systems from a control perspective, encompassing both frequency-domain and time-domain control strategies; analysis of difference equations; the z-transform; sampling; stability; minimality; discrete approximation; and stabilization techniques.

Learning Outputs

The students who have succeeded in this course;
I. Describe sampled data systems using difference equations, transfer functions, all delay block diagrams and state space models
II. Demonstrate on finding a small signal linear model of a nonlinear system at an operating point
III. Model dynamic systems containing time delay
IV. Obtain a model of a physical system by using the least squares approach
V. Analyze, design, and synthesize digital control systems using transform techniques such as root locus and frequency response, and state space methods such as pole-assignment and state estimation
VI. Demonstrate skills to use MATLAB and SIMULINK in the analysis, design, simulation, and real time implementation of discrete-time control systems

Course Content

Introduction, digital control system, Analog control, Discrete time systems and the z-transform, Discrete time systems, transform methods, properties of the z-transform, Solution of difference equations, The inverse z-transform, simulation diagrams and flow graphs, State variables, transfer functions, solutions of the state equations, Sampling and reconstruction, Sampled data control systems, the ideal sampler, results from the Fourier transform, data reconstruction, digital to analog conversion, Open-loop discrete time systems: The pulse transfer function, open-loop systems containing digital filters, The modified z-transform, systems with time delays, State variable models, discrete state equations. Closed-loop systems: derivation procedure, state-variable models, Stability analysis techniques: Stability, bilinear transformation, the Routh-Hurwitz criterion, Jury's stability test, the Nyquist criterion

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction, digital control system -
2) Analog control system -
3) Discrete time systems and the z-transform -
4) Discrete time systems, transform methods, properties of the z-transform -
5) Solution of difference equations -
6) The inverse z-transform, simulation diagrams and flow graphs, -
7) State variables, transfer functions, solutions of the state equations -
8) Midterm Exam -
9) Sampling and reconstruction -
10) Sampled data control systems, the ideal sampler, results from the Fourier transform, data reconstruction, digital to analog conversion -
11) Open-loop discrete time systems: The pulse transfer function, open-loop systems containing digital filters -
12) The modified z-transform, systems with time delays -
13) State variable models, discrete state equations. Closed-loop systems: derivation procedure, state-variable models -
14) Stability analysis techniques: Stability, bilinear transformation, the Routh-Hurwitz criterion, Jury's stability test, the Nyquist criterion -

Sources

Course Notes: Charles L. Phillips and H. Troy Nagle, 1995, Digital Control System Analysis and Design, Prentice Hall, USA
References: 1. Franklin, Gene F., J. David Powell, and Michael L. Workman. Digital Control of Dynamic Systems. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1997. ISBN: 9780201820546. 2. Digital Control Systems, P. N. Paraskevopoulos, Prentice Hall, 1996

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance 14 % 0
Laboratory 0 % 0
Application 0 % 0
Field Work 0 % 0
Special Course Internship (Work Placement) 0 % 0
Quizzes 2 % 5
Homework Assignments 5 % 2
Presentation 0 % 0
Project 1 % 25
Seminar 0 % 0
Midterms 1 % 25
Preliminary Jury % 0
Final 1 % 35
Paper Submission % 0
Jury % 0
Bütünleme % 0
Total % 92
PERCENTAGE OF SEMESTER WORK % 32
PERCENTAGE OF FINAL WORK % 60
Total % 92

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Laboratory 0 0 0
Application 0 0 0
Special Course Internship (Work Placement) 0 0 0
Field Work 0 0 0
Study Hours Out of Class 14 5 70
Presentations / Seminar 0 0 0
Project 1 10 10
Homework Assignments 5 2 10
Quizzes 2 1 2
Preliminary Jury 0
Midterms 1 2 2
Paper Submission 0
Jury 0
Final 1 3 3
Total Workload 139

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution