Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization

Design of fractional order PID controller for automatic regulator voltage system based on multi-objective extremal optimization
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基于多目标极值优化的自动稳压电压系统分数阶PID控制器设计

DOI:
10.1016/j.neucom.2015.02.051
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发表时间:
2015-07
期刊:
影响因子:
6
通讯作者:
Min-Rong Chen
Min-Rong Chen
中科院分区:
计算机科学2区
文献类型:
--
作者:
Yu-Xing Dai;Li-Min Li;Chong-Wei Zheng;Min-Rong Chen

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设计一种高效、高效的分数阶PID控制器,作为基于分数阶微积分的标准PID控制器的推广,对于工业控制系统获得高品质的性能具有重要的理论和实际意义。从多目标优化的角度,提出了一种基于改进的多目标极值优化(MOEO)算法的自动电压调节器(AVR)FOPID控制器设计方法。首先将AVR的FOPID控制器设计问题描述为一个包含最小化绝对误差积分、绝对稳态误差和调整时间三个目标函数的多目标优化问题。在此基础上,采用基于个体的迭代优化机制和多项式变异(PLM),提出了一种改进的Moeo算法来解决该问题。从算法设计的角度来看,该算法比NSGA-II算法和单目标进化算法,如遗传算法(GA)、粒子群算法(PSO)、混沌反群算法(CAS)的可调参数少,相对简单。此外,在AVR系统上的大量实验结果表明,所提出的MOEO-FOPID控制器在精度和鲁棒性方面优于基于NSGA-II的FOPID控制器、基于单目标进化算法的FOPID控制器、基于MOEO和NSGA-II的PID控制器。
Design of an effective and efficient fractional order PID (FOPID) controller, as a generalization of a standard PID controller based on fractional order calculus, for an industrial control system to obtain high-quality performances is of great theoretical and practical significance. From the perspective of multi-objective optimization, this paper presents a novel FOPID controller design method based on an improved multi-objective extremal optimization (MOEO) algorithm for an automatic regulator voltage (AVR) system. The problem of designing FOPID controller for AVR is firstly formulated as a multi-objective optimization problem with three objective functions including minimization of integral of absolute error (IAE), absolute steady-state error, and settling time. Then, an improved MOEO algorithm is proposed to solve this problem by adopting individual-based iterated optimization mechanism and polynomial mutation (PLM). From the perspective of algorithm design, the proposed MOEO algorithm is relatively simpler than NSGA-II and single-objective evolutionary algorithms, such as genetic algorithm (GA), particle swarm optimization (PSO), chaotic anti swarm (CAS) due to its fewer adjustable parameters. Furthermore, the superiority of proposed MOEO-FOPID controller to NSGA-II-based FOPID, single-objective evolutionary algorithms-based FOPID controllers, MOEO-based and NSGA-II-based PID controllers is demonstrated by extensive experimental results on an AVR system in terms of accuracy and robustness.
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