Inhalt

[ 481VRTRGRTU22 ] UE Geometric Methods in Control Theory

Versionsauswahl
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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 2025W
Learning Outcomes
Competences
Students are able to use differential geometric methods to analyze system and control theoretic properties of nonlinear systems.
Skills Knowledge
Specifically, they can

  • Explain geometric structures and concepts such as distributions, codistributions and involutivity and apply them in the context of control theory (k2,k3,k4)
  • Apply the concept of f-invariant distributions for triangular decompositions (k3)
  • linearize SISO and MIMO exactly and explain the geometric tests of this system property (k2,k3,k6)
  • characterize quasi-static and dynamic feedback for flat systems and design trajectory tracking controllers based on this (k4,k6)
  • explain more complex geometric structures such as tensors or bundles and interpret them in the context of mechatronic issues (k2,k4)
  • Fundamentals of differential geometry (Lie derivatives, distributions, codistributions, involutivity)
  • Triangular decomposition for nonlinear systems
  • Exact linearization (SISO, MIMO)
  • Flatness
  • Advanced methods and concepts of differential geometry (tensors, bundles)
Criteria for evaluation Homework and/or written exam
Methods Blackboard and slide presentation
Language German
Study material JKU KUSSS and/or Moodle
Changing subject? No
Further information The courses VL Geometric Methods in Control Theory and UE Geometric Methods in Control Theory form an inseparable didactic unit. The learning outcomes described below are achieved through the interaction of the two courses
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