Inhalt
[ 481VRTRGRTU22 ] UE Geometric Metheods in Control Theory
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| Es ist eine neuere Version 2023W dieser LV im Curriculum Master's programme Mechatronics 2024W vorhanden. |
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| (*) Unfortunately this information is not available in english. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 1,5 ECTS |
M - Master's programme |
Mechatronics |
Kurt Schlacher |
1 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Master's programme Mechatronics 2022W |
| Objectives |
Application of the geometric control theory of continuous, nonlinear dynamical systems, basic knowledge of analysis and design methods for the class of nonlinear systems. Deepened understanding and recognition of general abstract structures of dynamical systems by means of differential geometry.
The level of the mathematical methods used to describe the dynamic systems, to design the control laws and to synthesize the control circuits corresponds roughly to that in the textbooks T. Frankel, Geometry of Physics: An Introduktion, Camebridge University Press, 1997; A.Isidori : Nonlinear Control Systems II, Springer, London, UK, 1999; H. Nijmeijer , A. van der Schaft : Nonlinear Dynamical Control Systems, Springer, New York, USA, 1990.
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| Subject |
Introduction into the differential geometry, abstract manifolds, tangent and cotangent bundle, Lie derivative, tensor calculus, Grassmannalgebra, exterior derivative, Input/Output linearization, reachability and observability, input/state linearization.
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| Criteria for evaluation |
Homework and/or oral exam
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| Methods |
Blackboard and slide presentation
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| Language |
German |
| Study material |
JKU KUSSS and/or Moodle
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| Changing subject? |
No |
| Corresponding lecture |
(*)MEMWBUERMS2: UE Regelung nichtlinearer mechatronischer Systeme 2 (1,25 ECTS)
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| On-site course |
| Maximum number of participants |
35 |
| Assignment procedure |
Assignment according to sequence |
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