一种模糊自适应粒子群优化算法的分数阶PI~λD~μ控制器设计
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摘要
针对分数阶PI~λD~μ控制器待设计参数多,整定复杂问题,采用模糊自适应粒子群优化算法(Fuzzy Adaptive Particle Swarm Optimization,FAPSO)设计分数阶PI~λD~μ控制器参数.采用模糊规则的方法对惯性权重及位置更新进行了模糊逻辑处理.仿真结果表明,与传统的PSO算法比较,采用FAPSO方法所设计的分数阶PI~λD~μ控制器,具有更好控制品质和更强的鲁棒性.
Fuzzy adaptive particle swarm optimization( FAPSO) algorithm is used to design the fractional order PI~λD~μ controller parameters to solve the problem of the fractional order PI~λD~μ controller to be designed with many parameters and set complex. Fuzzy rules are used to deal with inertia weight and position updating. The simulation results show that it has better control quality and robustness than the traditional PSO algorithm.
Fuzzy adaptive particle swarm optimization( FAPSO) algorithm is used to design the fractional order PI~λD~μ controller parameters to solve the problem of the fractional order PI~λD~μ controller to be designed with many parameters and set complex. Fuzzy rules are used to deal with inertia weight and position updating. The simulation results show that it has better control quality and robustness than the traditional PSO algorithm.
引文
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[2]邓立为,宋申民,庞慧.控制系统的分数阶建模及分数阶PIλDμ控制器设计[J].电机与控制学报,2014,18(3):76-84.
[3]PODLUBNY I.Fractional-order systems and PIλDμcontrollers[J].Automatic Control,IEEE Transactions on,1999,44(1):208-214.
[4]CAPONETTO R,FORTUNA L,PORTO D.A new tuning strategy for a non integral order PID controller[C].First IFAC Workshop on Fractional Differentiation and its Applications,Bordeaux,2004:89-92.
[5]严慧.分数阶PIλDμ控制器的设计方法极点阶数搜索改进法[J].中国制造业信息化,2010,39(17):44-48.
[6]王介生,王金城,王伟.基于粒子群算法的PID控制器参数自整定[J].控制与决策,2005,20(1):73-76.
[7]牛芗洁,王玉洁,唐剑.基于遗传算法的控制器参数优化研究[J].计算机仿真,2010(11):180-182.
[8]KORANI W M,DORRAH H T,EMARA H M.Bacterial foraging oriented by particle swarm optimization strategy for PID tuning[C].Computational Intelligence in Robotics and Automation.(CIRA),2009 IEEE.International Symposium on.IEEE,2009:445-450.
[9]GAING Z L.A particle swarm optimization approach for optimum design of PID controller in AVR system[J].IEEE Transactions on Energy Conversion,2004,19(2):384-391.
[10]KENNEDY J.Small Worlds and Mega-Minds:Effects of Neighborhood Topology on Particle Swarm Performance[C].Proceedings of IEEE Congress on Evolutionary Computation(CEC 1999),1999:1931-1938.
[11]赵远征.分数阶控制算法在永磁交流伺服系统中的研究与应用[D].南京:南京理工大学,2014.
[12]肖培智,林青松,徐兴元.基于模型降阶的分数阶系统动态性能研究[J].计算机仿真,2014(8):273-277.
[13]赵志诚,张博,刘志远,等.一种分数阶系统内模PID控制器设计方法[J].信息与控制,2014,43(2):129-133.