A universal modified LMS algorithm with iteration order hybrid switching

被引：42

作者：

Cheng, Songsong ^{[1
]}

Wei, Yiheng ^{[1
]}

Chen, Yuquan ^{[1
]}

Liang, Shu ^{[2
]}

Wang, Yong ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China

[2] Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

来源：

ISA TRANSACTIONS | 2017年 / 67卷

基金：

中国国家自然科学基金;

关键词：

Fractional order calculus; Modified least mean square; Response speed; Convergence speed; Iteration order; Switching;

D O I：

10.1016/j.isatra.2016.11.019

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a fractional order modified least square algorithm (FOMLMS), which involves an iteration order switch strategy, A FOMLMS scheme whose iteration order can be extended into alpha is an element of (0, 2) is investigated. The performance of FOMLMS with the iteration order in different interval (0 < alpha < 1 or 1 < alpha < 2) is separately analyzed. It turns out that, both of a larger iteration order (0 < alpha < 2) and iteration step size can always result in a faster response speed and convergence speed. Therefore, in order to obtain a satisfying convergence speed without sacrificing other performance, a hybrid switch law of iteration order is naturally developed. Finally, the validity of this proposed algorithm is illustrated by three numerical examples. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：67 / 75

页数：9

共 25 条

[1]

Bateman H., 1953, Higher Transcendental Functions: Volume 1, 2

[2] Identification of Hammerstein nonlinear ARMAX systems using nonlinear adaptive algorithms [J].

Chaudhary, Naveed Ishtiaq ;

Raja, Muhammad Asif Zahoor .

NONLINEAR DYNAMICS, 2015, 79 (02) :1385-1397

[3] New results on stability and stabilization of a class of nonlinear fractional-order systems [J].

Chen, Liping ;

He, Yigang ;

Chai, Yi ;

Wu, Ranchao .

NONLINEAR DYNAMICS, 2014, 75 (04) :633-641

[4] Continued fraction expansion approaches to discretizing fractional order derivatives - an expository review [J].

Chen, YQ ;

Vinagre, BM ;

Podlubny, I .

NONLINEAR DYNAMICS, 2004, 38 (1-4) :155-170

[5] Adaptive filter design based on the LMS algorithm for delay elimination in TCR/FC compensators [J].

Hooshmand, Rahmat Allah ;

Esfahani, Mandi Torabian .

ISA TRANSACTIONS, 2011, 50 (02) :142-149

[6] A simplified variable step-size LMS algorithm for Fourier analysis and its statistical properties [J].

Huang, Boyan ;

Xiao, Yegui ;

Ma, Yaping ;

Wei, Guo ;

Sun, Jinwei .

SIGNAL PROCESSING, 2015, 117 :69-81

[7] A Variable Step-Size Diffusion Normalized Least-Mean-Square Algorithm with a Combination Method Based on Mean-Square Deviation [J].

Jung, Sang Mok ;

Seo, Ji-Hye ;

Park, PooGyeon .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (10) :3291-3304

[8] IMPROVED ALGORITHM FOR ADAPTIVE PROCESSING [J].

KRETSCHMER, FF ;

LEWIS, BL .

IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1978, 14 (01) :172-177

[9] Parameter identification of fractional order linear system based on Haar wavelet operational matrix [J].

Li, Yuanlu ;

Meng, Xiao ;

Zheng, Bochao ;

Ding, Yaqing .

ISA TRANSACTIONS, 2015, 59 :79-84

[10] Parameter Identification of Induction Machine With a Starting No-Load Low-Voltage Test [J].

Lin, Whei-Min ;

Su, Tzu-Jung ;

Wu, Rong-Ching .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (01) :352-360

← 1 2 3 →