Chaotic flower pollination algorithm based optimal PID controller design for a buck converter

Abstract

This paper presents a solution based on optimal PID coefficients including anti-wind up for buck converter presents using meta-heuristic algorithm and chaos theory. A hybrid algorithm is called chaotic based flower pollination algorithm is provided by combining flower pollination algorithm and chaos theory with different maps. Five different choatic maps are used in the aim of increasing the efficacy and efficiency of flower pollination algorithm. In order to adjust the parameters combined in the flower pollination algorithm, random number sequences from Henon, Logistic, Sine, Tent and Tinkerbell chaotic maps are used. The success of the developed algorithm is evaluated by solving 23 different benchmark problems which are very common in the literature. The results of comparative experiments show that henon chaotic map based flower pollination algorithm is sufficiently effective in solving these benchmark problems. Thus desinging optimal PID with anti-windup for buck converter, henon chaotic map based flower pollination algorithm is used. Also henon chaotic map based flower pollination algorithm has better performance than firelfy algorithm and whale optimization algorithm existing in literature.