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

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 pi λ d μ 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 through minimizing a cost function. our design method focuses on minimizing 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 pi λ d μ controller with respect to a traditional optimized pid controller. copyright © 2012 s. j. sadati et al.