10.90.136.11: Created page with "= Nonlinear Control Theory = * '''Course name:''' Nonlinear Control Theory * '''Course number:''' XYZ * '''Knowledge area:''' Control E..."

2021-07-30T10:47:40Z

Created page with "= Nonlinear Control Theory = * '''Course name:''' Nonlinear Control Theory * '''Course number:''' XYZ * '''Knowledge area:''' Control E..."

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= Nonlinear Control Theory =

* '''Course name:''' Nonlinear Control Theory
* '''Course number:''' XYZ
* '''Knowledge area:''' Control Engineering

== Administrative details ==

* '''Faculty:''' Computer Science and Engineering
* '''Year of instruction:''' 4th year of BS
* '''Semester of instruction:''' 2nd semester
* '''No. of Credits:''' 4 ECTS
* '''Total workload on average:''' 144 hours overall
* '''Frontal lecture hours:''' 2 per week
* '''Frontal tutorial hours:''' 2 per week
* '''Lab hours:''' 2 per week
* '''Individual lab hours:''' 0
* '''Frequency:''' weekly throughout the semester
* '''Grading mode:''' letters: A, B, C, D

== Prerequisites ==

* Physics I
* Physics II
* Mathematical Analysis I
* Mathematical Analysis II
* Analytic Geometry and Linear Algebra I
* Analytic Geometry and Linear Algebra II
* Control Theory

== Course outline ==

This introductory course considers the fundamental principles and techniques of nonlinear control systems, providing basic information on mathematical modeling, vector spaces and norms, Phase plane portraits, Lyapunov stability, Jacobian-based linearization and MIMO-based state-space representation. It covers stability analysis of nonlinear and time-varying systems, and Internal stability of feedback systems. During the course students will become familiar with control pronciples for nonlinear control systems. This course includes practical simulation exercises and a control design project.

== Expected learning outcomes ==

* Understanding nonlinear and time-varying systems
* Realizing the limits of nonlinear systems
* Amplitude, phase and frequency analysis of nonlinear control systems
* Techniques for the stability analysis of nonlinear and time-varying systems
* Jacobian linearization and gain scheduling
* State-Space Modelling

== Expected acquired core competences ==

* Time and Frequency analysis
* Building controllers
* Tools: MATLAB / Simulink
* Nonlinear control system analysis
* Control design for nonlinear systems

== Detailed topics covered in the course ==

The topics below are presented with the granularity of at most the academic hour of instruction. For each topic it is specified if it an '''I'''ntroduction to the topic, a '''D'''eep explanation, or a '''R'''eview of a subject already covered in another course.

* Introduction to nonlinear and time-varying systems
* Mathematical background, including vector spaces and norms
* Local Decompositions of Control Systems
* Global Decompositions of Control Systems
* Techniques for the stability analysis of nonlinear and time-varying systems
* Internal stability of feedback systems. Phase plane portraits
* Lyapunov stability theorems. Popov and circle criteria for nonlinear feedback systems
* Passivity and small gain for nonlinear operators
* Overview of design for nonlinear systems
* Jacobian linearization and gain scheduling
* Input-Output Maps and Realization Theory
* Theory of Nonlinear Feedback for Single-Input Single-Output Systems
* Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems
* Geometric Theory of State Feedback
* Tracking and regulation
* Global feedback design for SISO Systems

== Expected learning outcomes ==

* Understanding in Nonlinear Control System characteristics: controllability, stability and regulation quality
* Realizing the limits of the Nonlinear Systems
* Amplitude, phase and frequency analysis of control systems
* Time analysis of control systems
* Building PID controllers and compensators
* State-Space Modelling
* State observer applying

== Expected acquired core competences ==

* Time and Frequency analysis for nonlinear control system
* Control system analysis
* Building controllers
* Tools: MATLAB / Simulink
* Nonlinear control system analysis

== Textbook ==

*

== Reference material ==

* Slides will be provided during the course

== Required computer resources ==

Students are required to have laptops.

== Evaluation ==

* Quizzes (20%)
* In-class activity (10%)
* Mid-term exam (5%)
* Final exam (10%)
* Home Assignments (30%)
* Project (25%)

BSc:NonLinearControlTheory - Revision history

10.90.136.11: Created page with "= Nonlinear Control Theory = * '''Course name:''' Nonlinear Control Theory * '''Course number:''' XYZ * '''Knowledge area:''' Control E..."