# 325.055 Feedback Control This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2021S, VU, 2.5h, 4.0EC

## Properties

• Semester hours: 2.5
• Credits: 4.0
• Type: VU Lecture and Exercise
• Format: Distance Learning

## Learning outcomes

After successful completion of the course, students are able to:

• draw and interpret the root locus of a SISO system.
• design simple controllers using the root locus method.
• represent dynamical systems in state-space form and analyse their properties.
• apply and parameterise different control concepts in state space representation with and without state observers.
• describe and analyse a nonlinear SISO system using describing functions.
• design a nonlinear controller by means of feedback linearisation.
• analyse the stability of nonlinear systems by Lyapunov stability theory.
• understand the concept of backstepping control.

## Subject of course

Linear control theory:

• Analysis and design of control systems using the root locus method
• Representation and analysis of SISO systems in state space

Nonlinear control theory:

• Describing functions
• Feedback linearisation
• Control Lyapunov functions
• Backstepping control design

The VU is supported by extensive examples which are available as complete MATLAB/Simulink packages for the students.

## Teaching methods

The course is designed interactively. In the lecture parts, the theoretical fundamentals are worked out and the knowledge imparted in this way is additionally vividly supported by practice-relevant problems. In numerous exercise examples the application of the previously theoretically mediated contents is clarified by calculation and simulation examples.

The course is held in english.

Immanent

## Course dates

DayTimeDateLocationDescription
Thu12:00 - 13:0018.03.2021 (LIVE)Live session: Root locus method
Thu12:00 - 13:0025.03.2021 (LIVE)Live session: System analysis in SS
Thu12:00 - 13:0022.04.2021 (LIVE)Live session: Describing functions
Thu12:00 - 13:0029.04.2021 (LIVE)Live session: Feedback linearisation 1
Thu12:00 - 13:0006.05.2021 (LIVE)Live session: Questions 1st exam
Tue14:00 - 17:0011.05.2021 1st Exam
Thu12:00 - 13:0020.05.2021 (LIVE)Live session: Feedback linearisation 2
Thu12:00 - 13:0027.05.2021 (LIVE)Live session: Dyn. feedforward control
Thu12:00 - 13:0010.06.2021 (LIVE)Live session: Control Lyapunov functions
Thu12:00 - 13:0024.06.2021 (LIVE)Live session: Questions 2nd exam
Mon14:00 - 17:0028.06.2021 2nd Exam

## Examination modalities

Two written exams and one laboratory part.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Tue - 11.05.2021written19.04.2021 00:00 - 04.05.2021 23:59TISS1st Exam
Mon - 28.06.2021writtenno application-2nd Exam

## Course registration

Begin End Deregistration end
12.02.2021 00:00 05.05.2021 23:59 28.03.2021 23:59

## Curricula

Study CodeSemesterPrecon.Info
033 245 Mechanical Engineering
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
066 445 Mechanical Engineering
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase

## Literature

Lecture notes and a collection of formulas are available.  Due to the pandemic, the sale will take place exclusively on 3 dates at the campus Getreidemarkt. More detailed information about the place and time will be announced soon enough.

## Previous knowledge

Basic control theory (equivalent to course VU 325.038)

English