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Cursus: 202001355
202001355
Systems Theory
Cursus informatie
Cursus202001355
Studiepunten (ECTS)4
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr.ir. G. Meinsma
E-mailg.meinsma@utwente.nl
Docenten
Docent
prof.dr.ir. B.J. Geurts
Contactpersoon van de cursus
dr.ir. G. Meinsma
Docent
dr.ir. G. Meinsma
Docent
dr. F.L. Schwenninger
Docent
prof.dr. A.A. Stoorvogel
Collegejaar2020
Aanvangsblok
1B
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
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.
Inhoud
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.
 
Voorkennis
Basic knowledge of calculus and linear algebra (eigenvalues and vectors) and exponential matrices is assumed. Some experience with matlab is beneficial.
Participating study
Bachelor Applied Mathematics
Module
Module 6
Verplicht materiaal
Reader
System Theory. UnionShop reader 526
Aanbevolen materiaal
-
Werkvormen
Hoorcollege

Opdracht
AanwezigheidsplichtJa

Werkcollege

Toetsen
Written exam

Assigments

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