# Automatic Control Systems III

 Title ΣΥΣΤΗΜΑΤΑ ΑΥΤΟΜΑΤΟΥ ΕΛΕΓΧΟΥ ΙΙΙ / Automatic Control Systems III Code ΑΕ0306 Faculty Engineering School Electrical and Computer Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Zoe Doulgeri Common No Status Active Course ID 20001989

 Academic Year 2018 – 2019 Class Period Winter Faculty Instructors Zoe Doulgeri 3hrs Weekly Hours 3 Class ID 600130487

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Γ (ΤΗΜΜΥ & Τοπογράφων Μηχ.) Floor Όροφος 1 Hall Α4 (5) Calendar Τρίτη 11:00 έως 14:00
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
• English (Examination)
Prerequisites
General Prerequisites
Automatic Control Systems I & II
Learning Outcomes
The course concerns the analysis and synthesis of nonlinear control systems and it has been designed in order to provide the student with the basic knowledge and understanding of nonlinear systems, their stability and basic control design methods. Learning outcomes 1.understanding the basic properties of nonlinear systems 2.knowledge of Lyapunov stability theory, absolute stability and hyperstability 3.Knowledge and skills in designing simple controllers utilizing the Lyapunov theory 4.Knowledge and skills in designing model reference adaptive controllers and sliding controllers
General Competences
• Apply knowledge in practice
• Retrieve, analyse and synthesise data and information, with the use of necessary technologies
• Make decisions
• Work autonomously
Course Content (Syllabus)
-Overview of the basic properties of nonlinear systems, equilibrium points, second order systems: phase plane analysis, examples of nonlinear systems. -Lyapunov stability in autonomous systems: definitions and theorems, Definition of invariant sets and convergence, LaSalle theorem, regions of attractions, linearization of nonlinear systems, indirect Lyapunov method, instability theorems -Lyapunov stability in nonautonomous systems: definitions and theorems, linear time varying systems, perturbation analysis, converse theorems, stability of discrete-time systems -Feedback systems, basic feedback stabilization, integrator backstepping -input/output stability, small gain theorem, absolute stability theorems (Popov and circle criteria), input to state stability. -Passivity, passive systems interconnection, hyperstability theorems -Model reference adaptive control -Sliding control
Keywords
Nonlinear systems, equilibrium points, Lyapunov stability theory
Educational Material Types
• Notes
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
Course presentation from a laptop (power point)
Course Organization
Lectures
Written assigments
Total
Student Assessment
Description
Written exams at the end of the semester - Individual and optional project corresponding to 2.5 points added το the written exams grade in case the written exams grade is equal or above four.
Student Assessment methods
• Written Assignment (Summative)
• Written Exam with Problem Solving (Summative)
Bibliography