Improved quantum bacterial foraging algorithm for tuning parameters of fractional-order PID controller

作     者：LIU Lu SHAN Liang DAI Yuewei LIU Chenglin QI Zhidong 

作者机构：School of Automation Nanjing University of Science and Technology Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Institute of AutomationJiangnan University 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2018年第29卷第1期

页      面：166-175页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 071102[理学-系统分析与集成] 

基　　金：supported by the National Natural Science Foundation of China(61374153 61473138) Natural Science Foundation of Jiangsu Province(BK20151130) Six Talent Peaks Project in Jiangsu Province(2015-DZXX-011) China Scholarship Council Fund(201606845005) 

主　　题：bacterial foraging algorithm fractional-order quantum rotation gate proportion integration differentiation(PID) servo system 

摘      要：The quantum bacterial foraging optimization(QBFO)algorithm has the characteristics of strong robustness and global searching ability. In the classical QBFO algorithm, the rotation angle updated by the rotation gate is discrete and constant,which cannot affect the situation of the solution space and limit the diversity of bacterial population. In this paper, an improved QBFO(IQBFO) algorithm is proposed, which can adaptively make the quantum rotation angle continuously updated and enhance the global search ability. In the initialization process, the modified probability of the optimal rotation angle is introduced to avoid the existence of invariant solutions. The modified operator of probability amplitude is adopted to further increase the population *** tests based on benchmark functions verify the effectiveness of the proposed algorithm. Moreover, compared with the integerorder PID controller, the fractional-order proportion integration differentiation(PID) controller increases the complexity of the system with better flexibility and robustness. Thus the fractional-order PID controller is applied to the servo system. The tuning results of PID parameters of the fractional-order servo system show that the proposed algorithm has a good performance in tuning the PID parameters of the fractional-order servo system.