# Digital Control (MECE406) Ders Detayları

Course Name Corse Code Dönemi Lecture Hours Uygulama Saati Lab Hours Credit ECTS
Digital Control MECE406 Elective Courses 2 0 0 3 5
Pre-requisite Course(s)
MECE306 Control Systems
Course Language İngilizce Technical Elective Courses Lisans Face To Face Lecture, Question and Answer, Problem Solving, Team/Group. This course aims to introduce design and implementation of control systems which are based on the use of computers. The course describes issues that are related to discrete time and their relevance to continuous time. Students equipped with knowledge on designing continuous time control systems will study discretization of systems and controllers, implementation of closed-loop control, analysis and interpretation of results. The students who succeeded in this course; To learn z- and inverse-z transform To be able to model and analyse discrete time control systems To understand and practice design and realization of discrete controllers Z-transform, discretization, stability analysis, steady state analysis, root locus, design in discrete time, state space and structural properties of discrete time systems, Lyapunov theory and observer based design.

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Introduction, Nyquist Sampling Theorem NA
2 Z transform, inverse Z transform, convolution property, initial and final value theorem NA
3 Types of difference equations, (MA, AR, ARMA, ARMAX), approximation methods for obtaining G(z) from G(s), FR, BR, TR, PZ mapping, ZOH equivalence, step invariance, impulse response discretization, discretization by solution of the state equations, pade approximation, mapping from s-domain to z-domain, finding Z transform from block diagrams, prewarping (matching of half power frequency) NA
4 Stability analysis, jury test, routh criterion with bilinear transformation NA
5 Realizations: direct, series, parallel, ladder NA
6 Steady state error analysis NA
7 Root locus, design based on root locus NA
8 Direct design method of Raggazzini, discrete PID NA
9 Discrete time state space representation of dynamical systems, structural properties; controllability, observability, stabilizability, detectability NA
10 Lyapunov stability for discrete time systems NA
11 Pole placement, Bass-Gura formula, Ackermann formula NA
12 Discrete time observers NA
13 Problem session NA
14 Problem session NA
15 Problem session N/A
16 Final Examination N/A

### Sources

Course Book 1. Digital Control, K. Moudgalya, ISBN: 978-0470031445, Wiley, 2007. 2. 1. Digital Control System Analysis and Design, C. L. Phillips, H. T. Nagle, 3. Discrete-Time Control Systems, K. Ogata, ISBN: 0-13-328642-8, Pearson, 1995.

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 10
Presentation - -
Project 1 20
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 40
Final Exam/Final Jury 1 30
Toplam 9 100
 Percentage of Semester Work 70 30 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Accumulated knowledge on mathematics, science and mechatronics engineering; an ability to apply the theoretical and applied knowledge of mathematics, science and mechatronics engineering to model and analyze mechatronics engineering problems. X
2 An ability to differentiate, identify, formulate, and solve complex engineering problems; an ability to select and implement proper analysis, modeling and implementation techniques for the identified engineering problems. X
3 An ability to design a complex system, product, component or process to meet the requirements under realistic constraints and conditions; an ability to apply contemporary design methodologies; an ability to implement effective engineering creativity techniques in mechatronics engineering. (Realistic constraints and conditions may include economics, environment, sustainability, producibility, ethics, human health, social and political problems.) X
4 An ability to develop, select and use modern techniques, skills and tools for application of mechatronics engineering and robot technologies; an ability to use information and communications technologies effectively. X
5 An ability to design experiments, perform experiments, collect and analyze data and assess the results for investigated problems on mechatronics engineering and robot technologies. X
6 An ability to work effectively on single disciplinary and multi-disciplinary teams; an ability for individual work; ability to communicate and collaborate/cooperate effectively with other disciplines and scientific/engineering domains or working areas, ability to work with other disciplines. X
7 An ability to express creative and original concepts and ideas effectively in Turkish and English language, oral and written, and technical drawings. X
8 An ability to reach information on different subjects required by the wide spectrum of applications of mechatronics engineering, criticize, assess and improve the knowledge-base; consciousness on the necessity of improvement and sustainability as a result of life-long learning; monitoring the developments on science and technology; awareness on entrepreneurship, innovative and sustainable development and ability for continuous renovation.
9 Consciousness on professional and ethical responsibility, competency on improving professional consciousness and contributing to the improvement of profession itself.
10 A knowledge on the applications at business life such as project management, risk management and change management and competency on planning, managing and leadership activities on the development of capabilities of workers who are under his/her responsibility working around a project.
11 Knowledge about the global, societal and individual effects of mechatronics engineering applications on the human health, environment and security and cultural values and problems of the era; consciousness on these issues; awareness of legal results of engineering solutions.
12 Competency on defining, analyzing and surveying databases and other sources, proposing solutions based on research work and scientific results and communicate and publish numerical and conceptual solutions.
13 Consciousness on the environment and social responsibility, competencies on observation, improvement and modify and implementation of projects for the society and social relations and be an individual within the society in such a way that planing, improving or changing the norms with a criticism.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 14 2 28
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 2 28
Presentation/Seminar Prepration
Project 1 20 20
Report
Homework Assignments 6 4 24
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 15 30
Prepration of Final Exams/Final Jury 1 20 20