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| ELK4030 | Digital Control Systems | 2+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of ELECTRICAL and ELECTRONICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures per week | | Lecturer | Doç. Dr. Mustafa Şinasi AYAS | | Co-Lecturer | Prof. Dr. Ismail Hakki Altas | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of the course is to teach modeling, design and analysis of numerical control systems. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Know the structure of digital control systems. | | | | LO - 2 : | Can analyze the discrete control systems. | | | | LO - 3 : | Can model the digital control systems. | | | | LO - 4 : | Can make stability analysis of digital control systems. | | | | LO - 5 : | Can design an analog control system. | | | | LO - 6 : | Can design a digital control system. | | | | LO - 7 : | Can create state space models of physical systems. | | | | 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), LO : Learning Outcome | | |
| Introduction to Digital Control, Discrete-Time Systems, Modeling of Digital Control Systems, Stability of Digital Control Systems, Analog Control System Design, Digital Control System Design, State-Space Representation, Properties of State-Space Models, State Feedback Control, Optimal Control, Elements of Nonlinear Digital Control Systems, Practical Issues |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction to Digital Control, The structure of a digital control system, Examples of digital control systems | | | Week 2 | Discrete-Time Systems, Difference equations, The z-transform, z-Transform solution of difference equations | | | Week 3 | The time response of a discrete-time system, Frequency response of discrete-time systems, The sampling theorem | | | Week 4 | Modeling of Digital Control Systems, ADC model, DAC model, The transfer function of the ZOH | | | Week 5 | Stability of Digital Control Systems, Definitions of stability, Stable z-domain pole locations, Stability conditions | | | Week 6 | Analog Control System Design, Root locus, Root locus using MATLAB, Design specifications and the effect of gain variation | | | Week 7 | Digital Control System Design, z-Domain root locus, z-Domain digital control system design | | | Week 8 | State variables, Statespace representation, Linearization of nonlinear state equations, The solution of linear statespace equations | | | Week 9 | Midterm Examination | | | Week 10 | Properties of StateSpace Models, Stability of statespace realizations, Controllability and stabilizability | | | Week 11 | State Feedback Control, State and output feedback, Pole, Servo problem, State estimation | | | Week 12 | Optimal Control, Optimization, Optimal control, The linear quadratic regulator, Steady-state quadratic regulator | | | Week 13 | Elements of Nonlinear Digital Control Systems, Discretization of nonlinear systems, Nonlinear difference equations | | | Week 14 | Practical Issues, Design of the hardware and software architecture, Choice of the sampling period | | | Week 15 | Antialiasing filters, Effects of quantization errors, Phase delay introduced by the ZOH | | | Week 16 | Final Examination | | | |
| 1 | M. S. Fadali and A. Visioli, Digital Control Engineering Analysis and Design, Second Edition, Elseiver, USA, 2013. | | | |
| 1 | K. Ogata, Modern Control Engineering, Third Edition, Prentice Hall, USA, 1997. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2,0 | 50 | | End-of-term exam | 16 | | 2,0 | 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 | 2 | 14 | 28 | | Arasınav için hazırlık | 4 | 8 | 32 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 6 | 6 | 36 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 100 |
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