EL2620 Nonlinear Control 7.5 credits

Olinjär reglering

Nonlinear Control treats the analysis and synthesis of nonlinear control systems. The course consists of three main parts: an analysis part presenting the theoretical foundation; a design part introducing important control design methods; and a part dealing with other nonlinear control methods.

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Course information

Content and learning outcomes

Course contents *

Lecture 1-2: Nonlinear models, computer simulation; Lecture 3-6:Feedback analysis: linearization, stability theory, describing function; Lecture 7-10; Control design: compensation, high-gain design, Lyapunov methods; Lecture 11-13: Alternative methods: gain scheduling, optimal control, neural networks, fuzzy control.

Intended learning outcomes *

After finished course, the students will have knowledge in analysis of nonlinear dynamical systems using tools from control theory, such as linearization, Lyapunov methods, and describing functions. They will be able to use computer-based tools for modeling, simulation and control design of nonlinear systems. They will have knowledge about advanced nonlinear control design methods. The theory is illustrated by many examples from mechanical, electrical, chemical and aeronautical engineering, as well as from bioengineering and finance.

In particular, the students should be able to:

  • Solve problems using classical methods for analysis of nonlinear dynamical systems, such as linearization and phase-plane analysis, equilibria and oscillations.
  • Use Simulink for modeling and simulation of nonlinear systems.
  • In depth knowledge on how to solve stability problems using Lyapunov and LaSalle methods.
  • In depth knowledge about input-output stability using the circle criterion and describing function analysis. The students should be able to apply this theory to compensation for saturation (anti-windup), friction, back-lash and quantization.
  • Basic knowledge about passivity theory.
  • Be able to solve simpler control design problems using high-gain design methods, such as linearization by high gain and sliding modes.
  • Be able to solve simpler control design problems using Lyapunov design methods and feedback linearization.
  • Determine controllability for nonlinear systems.
  • Have basic knowledge about optimal control theory, and how to solve standard optimal control problems.

Course Disposition

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Literature and preparations

Specific prerequisites *

For single course students: 120 credits and documented proficiency in English B or equivalent.

Recommended prerequisites

Automatic Control, Basic Course, (EL1000, EL1110, E1120, Reglerteknik allmän kurs) or permission by the coordinator.

Equipment

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Literature

Lecture notes and exercises sold by the department. An highly recommended textbook is Khalil, H. K., Nonlinear Systems (3rd ed., 2002, Prentice Hall, ISBN 0-13-067389-7).

Examination and completion

Grading scale *

A, B, C, D, E, FX, F

Examination *

  • LABA - Laboratory Work 1, 2.0 credits, Grading scale: P, F
  • LABB - Laboratory Work 2, 2.0 credits, Grading scale: P, F
  • LABC - Laboratory Work 3, 2.0 credits, Grading scale: P, F
  • TENA - Examination, 1.5 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade *

LABA 2.0 cr, LABB 2.0 cr, LABC 2.0cr, TEN 1.5 cr

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

Jonas Mårtensson

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EL2620

Offered by

EECS/Intelligent Systems

Main field of study *

Electrical Engineering

Education cycle *

Second cycle

Add-on studies

EL2420 Automatic Control, Project Course

EL201X Degree Project in Automatic Control, Second Level

Contact

Jonas Mårtensson

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Supplementary information

Replaces 2E1262.

In this course, the EECS code of honor applies, see:
http://www.kth.se/en/eecs/utbildning/hederskodex.