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| ESML5117 | Fractional Order System Modelling and Controller Design | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of ENERGY SYSTEMS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Ömür AKYAZI | | Co-Lecturer | Dr. Lecturer Ömür AKYAZI | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This lesson aims to learn students how to model fractional order systems and design of fractional order controllers. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | model fractional order systems | 1,5 | 1,3, | | PO - 2 : | analyze the frequency response of fractional order systems | 1,5 | 1,3, | | PO - 3 : | design of fractional order controllers | 1,5 | 1,3, | | PO - 4 : | tune optimally fractional order controller parameters | 1,5 | 1,3, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Basic introduction mathematics,
Fractional mathematics and applications,
Classical system analysis methods,
Approximations methods to fractional order systems ,
System modeling with fractional transfer functions,
Frequency analysis of integer and fractional order systems,
Controller design with fractional transfer functions,
Fractional PID controller design,
Simulation studies,
Optimization of fractional controller parameters
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Basic calculus | | | Week 2 | Fractional order calculus and applications | | | Week 3 | Classical analysis methods of control systems | | | Week 4 | Approximation methods to fractional order system | | | Week 5 | Fractional order system modeling | | | Week 6 | Fractional order system modeling | | | Week 7 | Fractional order controller design | | | Week 8 | Fractional order PID controller design | | | Week 9 | Midterm exam week | | | Week 10 | Frequency analysis in fractional order systems | | | Week 11 | Analysis and design of various type of fractional order controllers | | | Week 12 | Analysis and design of various type of fractional order controllers | | | Week 13 | Optimization process of the fractional order controllers | | | Week 14 | Optimization process of the fractional order controllers | | | Week 15 | Simulation studies | | | Week 16 | Final exam week | | | |
| 1 | Vale´ rio D. and JSa´ da S.C., 2013 ; Introduction to Fractional Control, IET Press. | | | |
| 1 | Monje, C. A., Chen, Y., Vinagre, B. M., Xue, D., & Feliu-Batlle, V. (2010). Fractional-order systems and controls: fundamentals and applications. Springer Science & Business Media. | | | 2 | Baleanu, D., Machado, J.A.T. and Luo, A.C. eds., 2011. Fractional dynamics and control. Springer Science & Business Media. | | | 3 | Sabatier JA, Agrawal OP, Machado JT. Advances in fractional calculus. Dordrecht: Springer; 2007. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 01.12.2023 | 3 | 30 | | Project | 12 | 29.12.2023 | 24 | 20 | | End-of-term exam | 16 | 26.01.2024 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | | | | |
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