# Nonlinear Control Systems

Објавено: June 28, 2022
 1. Course Title Nonlinear Control Systems 2. Code 4ФЕИТ01З010 3. Study program КСИАР 4. Organizer of the study program (unit, institute, department) Faculty of Electrical Engineering and Information Technologies 5. Degree (first, second, third cycle) First cycle 6. Academic year/semester IV/7 7. Number of ECTS credits 6 8. Lecturer D-r Vesna Ojleska Latkoska 9. Course Prerequisites Passed: Automatic Control 1, Systems Thinking 10. Course Goals (acquired competencies): The basic goal of the course is student to gain knowledge for the basic concepts of nonlinear dynamical systems, their representation and modeling, and methods for analyzing the dynamic behavior and stability of these systems. The student will gain knowledge for solving control problems of nonlinear systems (being fully able to analyze the nonlinear control systems and having ability to design controllers for specific nonlinear system, using additional literature). The student will be able to use the gained knowledge on research projects, as well as to implement the knowledge in the industry. 11. Course Syllabus: Introduction to nonlinear dynamical systems; Linearization and its significance for the analysis of nonlinear systems; Nonlinear phenomena; Appearance, nature, systematization and description of nonlinearities and nonlinear control systems; Construction of phase portraits (analytical and graphical methods for plotting phase trajectories; isocline method); Equilibrium points and typical closed orbits; Limit cycles, jump resonance, bifurcation and chaos; Phase portraits of nonlinear second order control systems with typical nonlinearities; Harmonic linearization; Periodic oscilations of nonlinear control systems (determining periodic solutions and their stability in frequency domain); Lyapunov stability of nonlinear control systems; Absolute stability of nonlinear control systems; Introduction to the design of nonlinear control systems. 12. Learning methods: Combined way of learning: lectures, supported by presentations, homework and auditory exercises, as well as practical laboratory exercises. 13. Total number of course hours 2 + 2 + 1 + 0 14. Distribution of course hours 180 15. Forms of teaching 15.1. Lectures-theoretical teaching 30 15.2. Exercises (laboratory, practice classes), seminars, teamwork 45 16. Other course activities 16.1. Projects, seminar papers 0 16.2. Individual tasks 20 16.3. Homework and self-learning 85 17. Grading 17.1. Exams 10 17.2. Seminar work/project (presentation: written and oral) 0 17.3. Activity and participation 5 17.4. Final exam 85 18. Grading criteria (points) up to 50 points 5 (five) (F) from 51to 60 points 6 (six) (E) from 61to 70 points 7 (seven) (D) from 71to 80 points 8 (eight) (C) from 81to 90 points 9 (nine) (B) from 91to 100 points 10 (ten) (A) 19. Conditions for acquiring teacher’s signature and for taking final exam Regular attendance to the lectures and exercises, as well as successful and timely completion of all laboratory exercises. 20. Forms of assessment Two partial written exams are scheduled during the semester (at the middle and at the end of the semester, each with duration of 120 minutes), as well as tests, scheduled during the classes and a test for the laboratory exercises (scheduled after the end of the exercises). 1. Students who have passed the partial exams are considered to have passed the final written exam. A final oral exam can also be scheduled, with duration up to 60 minutes. The final grade is formed based on the points from the partial written exams, tests and the final oral exam (if scheduled). 2. In the planned exam sessions, a final written exam is taken (lasting 120 minutes). For students who have passed the final written exam, a final oral exam can also be scheduled (with duration up to 60 minutes). The final grade is formed based on the points from the final written exam, the tests and the final oral exam (if scheduled). 21. Language Macedonian and English 22. Method of monitoring of teaching quality Internal evaluation and surveys. 23. Literature 23.1. Required Literature No. Author Title Publisher Year 1 Georgi Dimirovski Lecture Notes for Nonlinear Automatic Control EMF, UKIM, Skopje 1975 2 Jean-Jacques Slotine, Weiping Li Applied Nonlinear Control Pearson 1991 3 Steven H. Strogatz Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering Westview Press 2014 23.2. Additional Literature No. Author Title Publisher Year 1 Hassan K. Khalil Nonlinear Control Pearson 2014 2 M. Vidyasagar Nonlinear Systems Analysis SIAM 2002