Zeroing Neural Network for Time-Varying Linear Equations With Application to Dynamic Positioning

被引：36
作者：
Dai, Jianhua [1 ,2 ,3 ]
Li, Yiwei [1 ,2 ,3 ]
Xiao, Lin [1 ,2 ,3 ]
Jia, Lei [1 ,2 ,3 ]
机构：
[1] Hunan Normal Univ, Hunan Prov Key Lab Intelligent Comp & Language In, Changsha 410081, Hunan, Peoples R China
[2] Hunan Normal Univ, MOE LCSM, Changsha 410081, Hunan, Peoples R China
[3] Hunan Xiangjiang Artificial Intelligence Acad, Changsha 410081, Hunan, Peoples R China
来源：
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS | 2022年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Mathematical model; Convergence; Analytical models; Numerical models; Heuristic algorithms; Neural networks; Informatics; Dynamic positioning; predefined-time convergence; time-varying linear equations; zeroing neural network (ZNN); FINITE-TIME; SYLVESTER EQUATION; DESIGN; CONVERGENCE; SYSTEM;
D O I：
10.1109/TII.2021.3087202
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, considering the effectiveness and efficiency in solving time-varying problems, a new zeroing neural network (ZNN) is proposed to solve time-varying linear equations with column full rank coefficient matrix. In addition, two novel nonlinear activation functions are developed to enhance the comprehensive performance of the ZNN model. It is demonstrated through theoretical analysis and numerical experiments that the nonlinear activated ZNN model has better noise immunity, and faster prescribed-time convergence speed. Finally, the ZNN method is successfully applied to 2-D and 3-D dynamic positioning, with lower positioning error than the traditional pseudoinverse method.
引用
收藏
页码：1552 / 1561
页数：10
相关论文
共 32 条
[1]   DIVIDE-AND-CONQUER - A PARALLEL ALGORITHM FOR THE SOLUTION OF A TRIDIAGONAL LINEAR-SYSTEM OF EQUATIONS [J].
BONDELI, S .
PARALLEL COMPUTING, 1991, 17 (4-5) :419-434
[2]   A Novel Supertwisting Zeroing Neural Network With Application to Mobile Robot Manipulators [J].
Chen, Dechao ;
Li, Shuai ;
Wu, Qing .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (04) :1776-1787
[3]   Hybrid TDOA/AOA mobile user location for wideband CDMA-cellular systems [J].
Cong, L ;
Zhuang, WH .
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2002, 1 (03) :439-447
[4]   Informational capacity and recall quality in sparsely encoded Hopfield-like neural network: Analytical approaches and computer simulation [J].
Frolov, AA ;
Husek, D ;
Muraviev, IP .
NEURAL NETWORKS, 1997, 10 (05) :845-855
[5]   DESIGN AND IMPLEMENTATION OF AN INDOOR LOCALIZATION SYSTEM FOR THE OMNIBOT OMNI-DIRECTIONAL PLATFORM [J].
Ginzburg, Sasha ;
von Frankenberg, Florentin ;
Nokleby, Scott .
TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2009, 33 (04) :715-729
[6]  
Huang Y., 2000, MICROPHONE ARRAYS VI, P239
[7]   Design and Application of an Adaptive Fuzzy Control Strategy to Zeroing Neural Network for Solving Time-Variant QP Problem [J].
Jia, Lei ;
Xiao, Lin ;
Dai, Jianhua ;
Qi, Zhaohui ;
Zhang, Zhijun ;
Zhang, Yongsheng .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (06) :1544-1555
[8]   RNN for Solving Time-Variant Generalized Sylvester Equation With Applications to Robots and Acoustic Source Localization [J].
Jin, Long ;
Yan, Jingkun ;
Du, Xiujuan ;
Xiao, Xiuchun ;
Fu, Dongyang .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2020, 16 (10) :6359-6369
[9]   Integration-Enhanced Zhang Neural Network for Real-Time-Varying Matrix Inversion in the Presence of Various Kinds of Noises [J].
Jin, Long ;
Zhang, Yunong ;
Li, Shuai .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (12) :2615-2627
[10]  
Kang QS, 2006, IEEE ICMA 2006: PROCEEDING OF THE 2006 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS 1-3, PROCEEDINGS, P1515
1234