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Convergence analysis and application of fuzzy-HDP for nonlinear discrete-time HJB systems
Zhu, Yuanheng; Zhao, Dongbin; Liu, Derong
Source PublicationNEUROCOMPUTING
2015-02-03
Volume149Pages:124-131
SubtypeArticle
AbstractIn this paper, a type of fuzzy system structure is applied to heuristic dynamic programming (HDP) algorithm to solve nonlinear discrete-time Hamilton-Jacobi-Bellman (DT-HJB) problems. The fuzzy system here is adopted as a 0-order T-S fuzzy system using triangle membership functions (MFs). The convergence of HDP and approximability of the multivariate 0-order T-S fuzzy system is analyzed in this paper. It is derived that the cost function and control policy of HDP can be iterated to the DT-1-1113 solution and optimal policy. The multivariate 0-order T-S (Tanaka-Sugeno) fuzzy system using triangle MFs is proven as a universal approximator, to guarantee the convergence of the Fuzzy-HDP mechanism. Some simulations are implemented to observe the performance of the proposed method both in mathematical solution and practical issue. It is concluded that Fuzzy-HDP outperforms traditional optimal control in more complex systems. (C) 2014 Elsevier B.V. All rights reserved.
KeywordDiscrete-time Nonlinear System T-s Fuzzy System Hdp
WOS HeadingsScience & Technology ; Technology
DOI10.1016/j.neucom.2013.11.055
WOS KeywordADAPTIVE CRITIC DESIGNS ; APPROXIMATION ; REINFORCEMENT ; INTELLIGENCE
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence
WOS IDWOS:000360028800017
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/8960
Collection复杂系统管理与控制国家重点实验室_深度强化学习
AffiliationChinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhu, Yuanheng,Zhao, Dongbin,Liu, Derong. Convergence analysis and application of fuzzy-HDP for nonlinear discrete-time HJB systems[J]. NEUROCOMPUTING,2015,149:124-131.
APA Zhu, Yuanheng,Zhao, Dongbin,&Liu, Derong.(2015).Convergence analysis and application of fuzzy-HDP for nonlinear discrete-time HJB systems.NEUROCOMPUTING,149,124-131.
MLA Zhu, Yuanheng,et al."Convergence analysis and application of fuzzy-HDP for nonlinear discrete-time HJB systems".NEUROCOMPUTING 149(2015):124-131.
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