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| ELK5610 | Linear System Theory | 3+0+0 | ECTS:7.5 | | Year / Semester | Spring Semester | | Level of Course | Second Cycle | | Status | Elective | | Department | DEPARTMENT of ELECTRICAL and ELECTRONICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Define the basic concepts for linear systems, , circuit analysis methods, similarity transformation. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | PO - 1 : | Have the knowledge on definition and classification of systems. | 1,5,10 | 1,5 | | PO - 2 : | Apply to canonical forms, similarity transformation of systems. | 1,5,10,15 | 1,5 | | PO - 3 : | Apply to modeling of system using the methods for linear systems. | 1,5,6,10,15 | 1,5 | | PO - 4 : | Make working with her/his friends and make experiments by himself/herself. | 1,5,6,10,15 | 1,5 | | 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 | | |
| Classification of systems, mathematical descriptions of systems, state model of systems, canonical forms, similarity transformation, computation of the state transition matrice, time variant and discrete time systems, controllability, observability, state feedback, output feedback, observers, pole placement, dynamic feedback. Stability: definitions, stability for the nonlinear and time-variant systems, controllability and observability in the discrete time. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Classification of systems, mathematical descriptions of systems. | | | Week 2 | Mathematical descriptions of systems, state model of systems, | | | Week 3 | Canonical forms. | | | Week 4 | Similarity transformation. | | | Week 5 | Computation of the state transition matrice. | | | Week 6 | Time variant and discrete time systems. | | | Week 7 | Controllability, observability. | | | Week 8 | State feedback, output feedback, observers. | | | Week 9 | Mid-term exam | | | Week 10 | Pole placement, dynamic feedback. Stability definitions. | | | Week 11 | Stability: definitions, stability for the nonlinear and time-variant systems. | | | Week 12 | Stability for the nonlinear and time-variant systems. | | | Week 13 | Controllability and observability in the discrete time. | | | Week 14 | Presentation of the homeworks | | | Week 15 | Presentation of the homeworks | | | Week 16 | End-of-term exam | | | |
| 1 | Chen, Chi-Tsong; 'Linear System Theory and Design' | | | |
| 1 | Mayhon, Robert J.; 'Discrete-Time and Continuous Time Linear Systems' | | | 2 | Kuo, Benjamin C.; 'Automatic Control Systems' | | | 3 | Ogata, Katsuhiko ; 'State space analysis of Control Systems' | | | 4 | Bocrie,John A.; 'Modern Control Systems: A manual of Design Methods' | | | 5 | De Russo Roy Close; 'State variables for engineers' | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 22.11.2013 | 3 | 30 | | Presentation | 14 | 11.12.2013 | 3 | 20 | | End-of-term exam | 16 | 11.01.2014 | 3 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 5 | 15 | 75 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 3 | 9 | 27 | | Arasınav | 3 | 1 | 3 | | Uygulama | 0 | 0 | 0 | | Klinik Uygulama | 0 | 0 | 0 | | Ödev | 5 | 4 | 20 | | Proje | 0 | 0 | 0 | | Kısa sınav | 0 | 0 | 0 | | Dönem sonu sınavı için hazırlık | 8 | 5 | 40 | | Dönem sonu sınavı | 3 | 1 | 3 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 210 |
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