Control of Limit Cycle Oscillations

  • Werner Schiehlen
  • Nils Guse
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)


Limit cycles are defined as periodic motions in mechanical systems. Self excited systems like Van der Pol oscillators are characterized by asymptotically stable limit cycles due to steady energy dissipation. On the other hand, conservative systems show marginally stable limit cycles without energy dissipation. However, such motions are very sensitive to disturbances and, therefore, less helpful in engineering. By adding control to conservative systems asymptotic stable, weakly dissipative limit cycles can be found. It is shown how limit cycle oscillations can be adapted to prescribed motions in manufacturing processes reducing energy consumption. For this purpose the shooting method is employed, harmonic and arbitrary prescribed motions are considered.

Key words

Control limit cycle energy consumption shooting method 


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Copyright information

© Springer 2005

Authors and Affiliations

  • Werner Schiehlen
    • 1
  • Nils Guse
    • 1
  1. 1.Institute B of MechanicsUniversity of StuttgartStuttgartGermany

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