Ders Planı

Lesson Information

Course Credit
Course ECTS Credit
Teaching Language of Instruction	İngilizce
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?
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Course Assistant

Purpose and Content

The aim of the course	In practice many systems are nonlinear. The objective of the course is to provide necessary background to understand, analyze and control such systems. These include nonlinear models and nonlinear phenomena; second-order systems, phase portraits; some fundamental properties of nonlinear state equations such as existence, uniqueness; stability analysis (Lyapunov, input-output, passivity); frequency domain analysis; controller design methods for nonlinear systems such as feedback linearization and sliding-mode control.
Course Content	Introduction to nonlinear systems and some examples. Second order systems and phase plane. Lyapunov stability. Input-output stability. Passivity. Frequency domain analysis: absolute stability, circle criterion, Popov criterion, describing function method . Nonlinear control systems design: feedback linearization and sliding-mode control.

The aim of the course

In practice many systems are nonlinear. The objective of the course is to provide necessary background to understand, analyze and control such systems. These include nonlinear models and nonlinear phenomena; second-order systems, phase portraits; some fundamental properties of nonlinear state equations such as existence, uniqueness; stability analysis (Lyapunov, input-output, passivity); frequency domain analysis; controller design methods for nonlinear systems such as feedback linearization and sliding-mode control.

Course Content

Introduction to nonlinear systems and some examples. Second order systems and phase plane. Lyapunov stability. Input-output stability. Passivity. Frequency domain analysis: absolute stability, circle criterion, Popov criterion, describing function method . Nonlinear control systems design: feedback linearization and sliding-mode control.

Learning Outcomes

Mathematics , Science and sufficient knowledge in electrical engineering issues; theoretical and practical knowledge in the field of Electrical and Electronics Engineering the ability to apply for modeling and problem solving.
Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to work effectively in interdisciplinary and multidisciplinary teams; ability to work individually .
Act according to ethical , professional and ethical responsibility about the standards used in electrical and electronic engineering applications
The ability to design to meet specific needs;complex system , process, device or product under realistic constraints and conditions , the ability to apply modern design methods for this purpose .
Awareness of the necessity of lifelong learning ; Access to knowledge, science and developments in technology and continuous self -improvement.
Awareness of universal and social dimensions of health electrical engineering applications , contemporary issues and their impact on the environment and safety ; awareness of the legal consequences of engineering solutions .
Ability to communicate effectively in Turkish, both oral and written, with at least one foreign language knowledge, ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, giving clear and concise instructions and receiving skills.
Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.
Analyzing and solving using modern techniques and tools for complex problems encountered in the electrical and electronics application development , selection and use of skills , skills to use ICT effectively
Designing experiments for the study of electrical engineering problems , conduct experiments, collect data , analyze and interpret the results .
Awareness about occupational health and safety
Development and scientific publications of conciousness can be followed in the electrical and electronics engineering. Developed will be able to access the resources that it can meet the education requirements for the new system awareness.

Weekly Course Subjects

1	Nonlinear models and nonlinear phenomena and some example systems. Lienard's equation, Van der Pol equation.
2	Second order systems, phase plane, multiple Equilibria.
3	Qualitative behavior near equilibrium points, limit cycles, existence of periodic orbits, Poincare-Bendixson criterion, Bendixson criterion, bifurcation.
4	Solution of nonlinear state equations, existence and uniqueness, Lipschitz condition, continuous dependence on initial conditions and parameters, differentiability of solutions and sensitivity equations.
5	Lyapunov stability: autonomous systems
6	Lyapunov stability: the invariance principle, linearization and local stability, comparision functions.
7	Lyapunov stability: nonautonomous systems, boundedness and ultimate boundedness, input-to- state stability.
8	Midterm
9	Input-output stability.
10	Passivity.
11	Frequency domain analysis of feedback systems: absolute stability, circle criterion, Popov criterion.
12	Frequency domain analysis of feedback systems: describing functionmethod .
13	Feedback linearization.
14	Sliding mode control.

Resources

1-1. Khalil H. K., Nonlinear Systems, 3rd Ed., Prentice Hall, 2002.; 2. Slotine J. J. E. and Li W., Applied Nonlinear Control, Prentice Hall, 1991.; 3. İsidori A., Nonlinear Control Systems, 3rd Ed., Fall/ Springer, 1995.; 4. Vidyasagar M., Nonlinear Systems Analysis, 2nd Ed., Prentice Hall, 1993.; 5. Sastry S., Nonlinear Systems: Analysis, Stability and Control, Fall/ Springer-Verlag, 1999.

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Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

Resources

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