Optimal Decentralized PI Control Design for a TimeDelay Benchmark Process Control System : AModified Whale Optimization Algorithm Approach

Abstract This paper presents a new optimal decentralized PIcontroller design based on a modified hybrid whale optimization approach that is addressed for a typical industrial benchmark process control device. This research work determines the gain parameters of the PID controllers using the modified whale optimization algorithm (mWOA), aiming to achieve efficient performance by taking into account the integral time absolute error (ITAE) cost function. Further, the stability and performance of the proposed controller are verified by considering multiplicative input and output uncertainty. A comparison has beenmade between the performance of the proposed decentralized control method and a traditional decentralized PID controllerarchitecture. The obtained results highlight that the proposedcontroller exhibits superior control performance in inevitablepractical scenarios, such as in the face of additive stochasticuncertainties and load perturbation.