Fractional-order control of a nonlinear time-delay system: case study in oxygen regulation in the heart-lung machine

  • Authors:
  • S. J. Sadati;A. Ranjbar Noei;R. Ghaderi

  • Affiliations:
  • Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran;Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran;Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran

  • Venue:
  • Journal of Control Science and Engineering
  • Year:
  • 2012

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Abstract

A fractional-order controller will be proposed to regulate the inlet oxygen into the heart-lung machine. An analytical approach will be explained to satisfy some requirements together with practical implementation of some restrictions for the first time. Primarily a nonlinear single-input single-output (SISO) time-delay model which was obtained previously in the literature is introduced for the oxygen generation process in the heart-lung machine system and we will complete it by adding some new states to control it. Thereafter, the system is linearized using the state feedback linearization approach to find a third-order time-delay dynamics. Consequently classical PID and fractional order PIλDµ controllers are gained to assess the quality of the proposed technique. A set of optimal parameters of those controllers are achieved through the genetic algorithm optimization procedure throughminimizing a cost function. Our design method focuses onminimizing some famous performance criterions such as IAE, ISE, and ITSE. In the genetic algorithm, the controller parameters are chosen as a random population. The best relevant values are achieved by reducing the cost function. A time-domain simulation signifies the performance of PIλDµ controller with respect to a traditional optimized PID controller.