Fractional order control of unstable processes: the magnetic levitation study case

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• 作者：Cristina I. Muresan ; Clara Ionescu ; Silviu Folea ; Robin De Keyser
• 关键词：Unstable second ; order process ; Stability of fractional order systems ; Closed loop experimental results ; Robustness
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：80
• 期：4
• 页码：1761-1772
• 全文大小：1,679 KB
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• 作者单位：Cristina I. Muresan (1)
  Clara Ionescu (1)
  Silviu Folea (1)
  Robin De Keyser (2)
  
  1. Department of Automation, Technical University of Cluj-Napoca, Gh. Baritiu, no.26-28, Cluj-Napoca, Romania
  2. Department of Electrical energy, Systems and Automation, Ghent University, Technologiepark, 913, 9052聽, Ghent, Belgium
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

Although a considerable amount of research has been carried out in the field of fractional order controllers, the majority of the results deal with stable processes. Very little research has been reported regarding the design, analysis, and tuning of fractional order controllers for unstable processes. This paper proposes a methodology for designing and tuning fractional order controllers for a class of unstable second-order processes. The design is carried out using the stability analysis of fractional order systems, by means of Riemann surfaces and a proper mapping in the \(w{\text {-}}\hbox {plane}\). The resulting fractional order controllers are implemented using graphical programming on industrial equipment and are validated experimentally using a laboratory scale magnetic levitation unit.