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Course module: 202001355
202001355
Systems Theory
Course info
Course module202001355
Credits (ECTS)4
Course typeStudy Unit
Language of instructionEnglish
Contact persondr.ir. G. Meinsma
E-mailg.meinsma@utwente.nl
Lecturer(s)
Lecturer
prof.dr.ir. B.J. Geurts
Contactperson for the course
dr.ir. G. Meinsma
Lecturer
dr.ir. G. Meinsma
Lecturer
dr. F.L. Schwenninger
Lecturer
prof.dr. A.A. Stoorvogel
Academic year2020
Starting block
1B
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
Afterwards the student:
  • is able to determine whether a system is linear, time-invariant or causal, and understands the notion of a state. And in case of a linear system, whether it is controllable, observable, stabilisable and/or detectable;
  • Is able to design an observer and stabilizing controller based on a state description of the system;
  • can determine and analyse transfer functions of complex systems, and use them to design stabilising controllers.
Content
In this course introduce several results from Systems and Control Theory. The focus is on dynamical systems with inputs and outputs, especially linear systems and their state representations. An important problem is the extent to which the dynamical behaviour can be controlled by choice of input. In contrast to standard ODEs, we may be able to turn unstable ODEs into stable ones by carefully choosing the input. For this type of analysis we need the notions of controllability, detectability and observability. We design observers to estimate the state of a system, and we design dynamical stabilising controllers using static state feedback in combination with observers. Finally, we analyse systems in the frequency domain, and we use transfer functions to construct controllers and analyse complex interconnected systems.
 
Assumed previous knowledge
Basic knowledge of calculus and linear algebra (eigenvalues and vectors) and exponential matrices is assumed. Some experience with matlab is beneficial.
Module
Module 6
Participating study
Bachelor Applied Mathematics
Required materials
Reader
System Theory. UnionShop reader 526
Recommended materials
-
Instructional modes
Assignment
Presence dutyYes

Lecture

Tutorial

Tests
Written exam

Assigments

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Kies de Nederlandse taal