[ 481VRTRGRTU22 ] UE Geometric Metheods in Control Theory

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Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS M - Master's programme Mechatronics Markus Schöberl 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Mechatronics 2023W
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.

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.
Criteria for evaluation Homework and/or oral exam
Methods Blackboard and slide presentation
Language German
Study material JKU KUSSS and/or Moodle
Changing subject? No
Corresponding lecture (*)MEMWBUERMS2: UE Regelung nichtlinearer mechatronischer Systeme 2 (1,25 ECTS)
On-site course
Maximum number of participants 35
Assignment procedure Assignment according to sequence