[1]曹春建,方吕纬,钱 瑭.基于最优参数的改进Oustaloup滤波算法及其数字实现[J].机械与电子,2018,(08):51-55.
　CAO Chunjian,FANG Lvwei,QIAN Tang.Improved Oustaloup Filtering Algorithm Based on Optimal Parameters andIts Digital Implementation[J].Machinery & Electronics,2018,(08):51-55.
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基于最优参数的改进Oustaloup滤波算法及其数字实现
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《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
期数:
2018年08期
页码:
51-55
栏目:
自动控制与检测
出版日期:
2018-08-24

文章信息/Info

Title:
Improved Oustaloup Filtering Algorithm Based on Optimal Parameters and Its Digital Implementation
文章编号:
1001-2257(2018)08-0051-05
作者:
曹春建1; 方吕纬2; 钱 瑭1
(1.中国电建集团华东勘测设计研究院有限公司,浙江 杭州 310014; 2.杭州强夯基础工程有限公司,浙江 杭州 310014)
Author(s):
CAO Chunjian1; FANG Lvwei2; QIAN Tang1
(1.Hydro China Huadong Engineering Corporation, Hangzhou 310014,China; 2.Hangzhou Strong Ramming Foundation Engineering Corporation, Hangzhou 310014,China)
关键词:
粒子群优化算法;  改进Oustaloup滤波算法;  分数阶微分算子;  MATLAB/Simulink
Keywords:
particle swarm optimization;  improved Oustaloup recursive approximation;  fractional differential operator;  MATLAB/Simulink
分类号:
TM612
文献标志码:
A
摘要:
针对基于推荐参数的改进Oustaloup滤波算法在拟合频域段端点附近对分数阶微分算子逼近精度较低的问题,提出了一种基于改进自适应混沌粒子群优化算法(IACPSO算法)的改进Oustaloup滤波算法的参数优化方法,该方法将拟合频域段内的频率与幅度、相位绝对误差乘积积分的加权和作为优化目标函数,利用IACPSO算法对常数b与d进行参数寻优,经多次独立计算确定一组最优参数(b=5.387 8,d=0.752 6),通过与标准Oustaloup算法、基于推荐参数(b=10,d=9)的改进Oustaloup滤波算法进行对比分析,验证了基于最优参数的改进Oustaloup滤波算法的有效性。
Abstract:
Aiming at solving the problem that the improved Oustaloup filtering algorithm based on recommended parameters has lower accuracy of the fractional differential operators near the end point of the fitting frequency domain, a parameter optimization method based on improved adaptive chaotic particle swarm optimization algorithm(IACPSO algorithm)for improved Oustaloup filtering is proposed. The method takes the weighted sum of products for frequency and amplitude in the frequency domain segment and integral product of the phase error as the objective function of optimization, and uses the IACPSO algorithm to optimize the parameters of the constants b and d. A number of independent calculations determine a set of optimal parameters(b=5.387 8, d=0.752 6). By comparing with the standard Oustaloup algorithm and the improved Oustaloup filtering algorithm based on the recommended parameters(b=10, d=9), the validity of the improved Oustaloup filtering algorithm based on optimal parameters is verified.

参考文献/References:

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[2] ROY S D.On the realization of a constant argument immitance or fractional operator[J].IEEE Transactions on Circuit Theory,1967,14(3):264-274.
[3] OUSTALOUP A,LEVRON F,MATHIEU B,et al. Frequency-band complex noninteger differentiator: characterization and synthesis [J].IEEE Transactions on Circuit and Systems-I: Fundamental Theory and Applications,2000,47(1):25-39.
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[5] 薛定宇,赵春娜,潘峰.基于框图的分数阶非线性系统仿真方法及应用[J].系统仿真学报,2006,18(9):2405-2408.
[6] 曹春建,张德虎,刘莹莹,等.基于改进粒子群算法的水轮机调节系统分数阶PIλDμ控制器设计[J].中国农村水利水电,2013,31(11):96-101.

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备注/Memo

备注/Memo:
收稿日期:2018-05-23
作者简介:曹春建(1988-),男,江苏南通人,硕士,工程师,研究方向为水力机组过渡过程控制与仿真。
更新日期/Last Update: 2018-08-24