Mechanical Engineering (English)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

General course introduction information

Course Code:

ME461

Course Name:

Systems and Control II

Course Semester:

Fall

Course Credits:

Theoretical	Practical	Credit	ECTS
3	0	3	5

Language of instruction:

Course Requisites:

Does the Course Require Work Experience?:

Type of course:

Compulsory

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Prof. Dr. RAMAZAN NEJAT TUNCAY

Course Lecturer(s):

Course Assistants:

Course Objective and Content

Course Objectives:

The objective of this course is to cover linear algebra review, state-space modeling, controllability, observability, minimal realizations, stability, design using linear state feedback control laws, observers, introduction to optimal control.

Course Content:

• Introduction of the course.
• Vector spaces
• Basis and orthogonality
• Transformations
• Range and null space
• Eigenvalues and eigenvectors
• Norms of vectors and matrices
• State equation solution
• Impulse response
• Laplace domain representation
• Coordinate transformation
• Engineering system examples
• Controllability examples
• Coordinate transformations and controllability
• Engineering system examples
• Observability examples
• Coordinate transformations and observability
• Engineering system examples
• Minimality of single-single output realizations
• Internal stability
• Bounded-input, bounded-output stability
• Asymptotic stability
• Engineering system examples
• Midterm Exam
• State feedback control law
• Shaping the dynamic response
• Closed-loop eigenvalue placement via state feedback
• Engineering system examples
• Steady state tracking
• Application of design using linear state feedback control laws to engineering system examples
• Observers
• Observer-based compensators
• Application of observers to engineering system examples
• Optimal control problems
• The linear quadratic regulator
• Apply linear quadratic regulator to detailed engineering system
• Final Exam

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Frekans domenindeki yöntemleri kullanarak kontrol sistemlerini tasarlayabilecektir.
2 - Skills
Cognitive - Practical
1) Will be able to model and describe engineering systems mathematically using state-space.
2) Will be able to simulate engineering systems using MATLAB/Simulink.
3) Will be able to design control systems using state-space techniques.
4) Will be able to determine stability of systems.
5) Will be able to design control systems using optimal control techniques.
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Lesson Plan

Week	Subject	Related Preparation
1)	Introduction of the course.	none
2)	• Vector spaces • Basis and orthogonality • Transformations	none
3)	• Range and null space • Eigenvalues and eigenvectors • Norms of vectors and matrices	none
4)	• State equation solution • Impulse response • Laplace domain representation • Coordinate transformation • Engineering system examples	none
5)	• Controllability examples • Coordinate transformations and controllability • Engineering system examples	none
6)	• Observability examples • Coordinate transformations and observability • Engineering system examples	none
7)	• Minimality of single-single output realizations	none
8)	• Internal stability • Bounded-input, bounded-output stability • Asymptotic stability • Engineering system examples	none
9)	Midterm	none
10)	• State feedback control law • Shaping the dynamic response • Closed-loop eigenvalue placement via state feedback • Engineering system examples	none
11)	• Steady state tracking • Application of design using linear state feedback control laws to engineering system examples	none
12)	• Internal stability • Bounded-input, bounded-output stability • Asymptotic stability • Engineering system examples	none
13)	• Optimal control problems • The linear quadratic regulator	none
14)	• Apply linear quadratic regulator to detailed engineering system	none

Sources

Course Notes / Textbooks:	Linear State-Space Control Systems Hardcover – February 9, 2007 by Robert L. Williams II (Author), Douglas A. Lawrence (Author)
References:	Benjamin C. Kuo, Farid Golnaraghi, Automatic Control Systems, 9E John Wiley High Education, 2009. Ogata,K. Modern Control Engineering, 5th Edition, International Edition, Pearson, 2013.

Course-Program Learning Outcome Relationship

Learning Outcomes	1	2	3	4	5	6
Program Outcomes
1) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics.
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.
11) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
12) In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra.
13) The ability to work in both thermal and mechanical systems, including the design and implementation of such systems.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.	3
2)	The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.	4
3)	The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)	3
4)	Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.	3
5)	Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics.	2
6)	The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
7)	Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8)	Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9)	Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.
10)	Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.
11)	The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
12)	In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra.	2
13)	The ability to work in both thermal and mechanical systems, including the design and implementation of such systems.	2

Learning Activity and Teaching Methods

Field Study
Lesson
Reading
Problem Solving

Assessment & Grading Methods and Criteria

Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing)

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

Workload and ECTS Credit Grading

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	15	3	45
Study Hours Out of Class	15	6	90
Midterms	1	7	7
Final	1	8	8
Total Workload			150