Information Package / Course Catalogue
Fractional Order Systems
Course Code: EEE624
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To have fundamental information about fractional order systems and applications.

Course Content

Basics of fractional order systems, state space representation and analysis, basics of fractional order control, fractional order PID controllers, fractional order PID controller tuning for FOPTD plants, MATLAB applications for fractional order systems, realization of fractional order systems

Name of Lecturer(s)
Learning Outcomes
1.To learn the basic concepts of fractional calculus
2.Learning the basics of fractional order systems
3.Knowledge of fractional order systems and their applications.
4.To learn the stability analysis of fractional order control systems
5.To have knowledge about fractional-order controllers.
6.To design fractional order controllers
7.To learn the implementation of fractional-order controllers.
Recommended or Required Reading
1.Fractional Order Systems and Controls, C. A. Monje, YQ Chen, Blas M. Vinagre, Dingyü Xue, Vicente Feliu, Springer, 2010.
2.Fractional Calculus for System Identification and Controls, Shantanu Das, Springer, 2008.
3.The Fractional Calculus, Keith B. Oldham and Jerome Spanier, 1974.
4.Fractional Order Systems Modeling and Control Applications, R. Caponetto, G. Dongola, et al., World Scientific, 2010
Weekly Detailed Course Contents
Week 1 - Theoretical
Fractional Calculus
Week 2 - Theoretical
Fundamentals of Fractional Order Systems
Week 3 - Theoretical
Fundamentals of Fractional Order Systems
Week 4 - Theoretical
State Space Representation and Analysis
Week 5 - Theoretical
State Space Representation and Analysis
Week 6 - Theoretical
Fundamentals of Fractional Order Control
Week 7 - Theoretical
Fractional Order PID Controllers
Week 8 - Theoretical
Fractional Order PID Controllers - Midterm Exam
Week 9 - Theoretical
Other Fractional Order Controller Types
Week 10 - Theoretical
Fractional order PID controller tuning for FOPTD plants
Week 11 - Theoretical
Fractional order PID controller tuning for FOPTD plants
Week 12 - Theoretical
Implementation of fractional order systems
Week 13 - Theoretical
Implementation of fractional order systems
Week 14 - Theoretical
MATLAB applications for fractional order systems
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Quiz1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1473140
Individual Work140114
Quiz19110
Midterm Examination114216
Final Examination117320
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
OÇ-1
5
4
4
5
4
5
5
4
3
5
4
4
OÇ-2
4
4
5
5
4
4
5
5
4
4
5
4
OÇ-3
5
5
4
4
5
5
4
4
5
5
4
5
OÇ-4
4
4
5
3
4
5
4
5
4
5
4
5
OÇ-5
4
4
5
5
4
4
5
5
3
5
4
5
OÇ-6
5
5
5
4
4
4
5
5
5
4
4
4
OÇ-7
5
3
5
5
4
4
5
5
4
4
5
5
Adnan Menderes University - Information Package / Course Catalogue
2026