Optimized PID Controller Using Adaptive Differential Evolution with Meanof-pbest Mutation Strategy

Abstract

On the basis of JADE (adaptive differential evolution with optional external archive) and the modified differential evolution with <i>p</i>-best crossover (MDE_<i>p</i>BX), this study attempts to propose a modified mutation strategy termed "DE/(<i>p</i>best)/1" for the differential evolution (DE) algorithm, where “(<i>p</i>best)” represents the mean of p top-best vectors. Two modified parameter adaptation mechanisms are also proposed to update the crossover rate and the scale factor, respectively, in an adaptive manner. The DE variant with the proposed mutation strategy and two modified adaptation mechanisms is termed adaptive differential evolution with mean-of-<i>p</i>best mutation strategy, denoted by ADE_<i>p</i>BM is comparable to or better than the four state-of-the-art adaptive DE variants in terms of accuracy, reliability and efficiency.