Alexandre Branquinho  Rocha, Fadi  Dohnal, Zilda de Castro  Silveira, 
    Vibration Reduction of a Magnetically Supported Rotor Using Heuristic Optimization Method,
    Journal of Engineering and Applied Sciences,
    Volume 8,Issue 9,
    2013,
    Pages 314-320,
    ISSN 1816-949x,
    jeasci.2013.314.320,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2013.314.320)
    Abstract: A heuristic optimization method is applied to reduce the vibration 
  amplitude of a rotor system magnetically supported. The rotor system is supported 
  by two Active Magnetic Bearings (AMB) that are operated by commonly used PID 
  controllers. Applying the Ant Colony Optimization (ACO) method, the control 
  parameters of both AMBs are optimized for minimizing the rotor vibrations during 
  the run-up. The necessary steps needed to develop an ACO algorithm are described 
  and the factors that influence the PID control parameters are discussed. Numerical 
  simulations were performed to demonstrate the applicability and efficiency of 
  the proposed procedure.
    Keywords: Active magnetic bearing;unbalance;multi-criteria optimization;PID controller;vibration reduction;heuristic optimization