Oscillations and transfer properties of relay servo systems with integrating plants

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Asymmetric limit cycles and input-output properties of relay feedback systems with integrating plants are studied in the technical note. It is noted that an integrating plant introduces significantly different dynamics, so that a different than traditional system representation is needed to obtain a fixed point of Poincare map. Conditions of orbital asymptotic stability are obtained. The infinite set of possible periodic solutions and transfer characteristics is presented in the form of the locus of a perturbed relay system (LPRS). A formula of LPRS is derived. An example of analysis of oscillations and transfer properties is given.

Original languageBritish English
Pages (from-to)2686-2689
Number of pages4
JournalIEEE Transactions on Automatic Control
Issue number11
StatePublished - 2008


  • Chattering
  • Orbital stability
  • Oscillations
  • Relay feedback system
  • Transfer properties


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