Fractional-Order Control of a Nonlinear Time-Delay System : Case Study in Oxygen Regulation in the Heart-Lung Machine

Abstract EN

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 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 PIλDμ controller with respect to a traditional optimized PID controller.