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A time/space separation based 3D fuzzy modeling approach for nonlinear spatially distributed systems
Zhang XX(张宪霞)1; Fu, Zhiqiang1; Li SY(李少远)2; Zou T(邹涛)3; Wang B(王冰)1
Department工业控制网络与系统研究室
Source PublicationInternational Journal of Automation and Computing
ISSN1476-8186
2018
Volume15Issue:1Pages:52-65
Indexed ByEI ; CSCD
EI Accession number20172403769732
CSCD IDCSCD:6159069
Contribution Rank3
Funding OrganizationNational Science Foundation of China (Nos.61273182, 31570998, 51375293 and 61374112).
KeywordSpatially Distributed System (Sds) System Identification 3d Fuzzy System Karhunen-love Decomposition Particle Swarm Optimization (Pso)
Abstract

Spatially distributed systems (SDSs) are usually infinite-dimensional spatio-temporal systems with unknown nonlinearities. Therefore, to model such systems is difficult. In real applications, a low-dimensional model is required. In this paper, a time/space separation based 3D fuzzy modeling approach is proposed for unknown nonlinear SDSs using input-output data measurement. The main characteristics of this approach is that time/space separation and time/space reconstruction are fused into a novel 3D fuzzy system. The modeling methodology includes two stages. The first stage is 3D fuzzy structure modeling which is based on Mamdani fuzzy rules. The consequent sets of 3D fuzzy rules consist of spatial basis functions estimated by Karhunen-Love decomposition. The antecedent sets of 3D fuzzy rules are used to construct temporal coefficients. Going through 3D fuzzy rule inference, each rule realizes time/space synthesis. The second stage is parameter identification of 3D fuzzy system using particle swarm optimization algorithm. After an operation of defuzzification, the output of the 3D fuzzy system can reconstruct the spatio-temporal dynamics of the system. The model is suitable for the prediction and control design of the SDS since it is of low-dimension and simple nonlinear structure. The simulation and experiment are presented to show the effectiveness of the proposed modeling approach.

Language英语
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/20745
Collection工业控制网络与系统研究室
Corresponding AuthorZhang XX(张宪霞)
Affiliation1.Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronics and Automation, Shanghai University, Shanghai, 200072, China
2.Institute of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China
3.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
Recommended Citation
GB/T 7714
Zhang XX,Fu, Zhiqiang,Li SY,et al. A time/space separation based 3D fuzzy modeling approach for nonlinear spatially distributed systems[J]. International Journal of Automation and Computing,2018,15(1):52-65.
APA Zhang XX,Fu, Zhiqiang,Li SY,Zou T,&Wang B.(2018).A time/space separation based 3D fuzzy modeling approach for nonlinear spatially distributed systems.International Journal of Automation and Computing,15(1),52-65.
MLA Zhang XX,et al."A time/space separation based 3D fuzzy modeling approach for nonlinear spatially distributed systems".International Journal of Automation and Computing 15.1(2018):52-65.
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