Convergence analysis and application of fuzzy-HDP for nonlinear discrete-time HJB systems
文献类型：期刊论文
| 作者 | Zhu, Yuanheng ; Zhao, Dongbin; Liu, Derong
|
| 刊名 | NEUROCOMPUTING
 |
| 出版日期 | 2015-02-03 |
| 卷号 | 149页码:124-131 |
| 关键词 | Discrete-time nonlinear system T-S fuzzy system HDP |
| 英文摘要 | In 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. |
| WOS标题词 | Science & Technology ; Technology |
| 类目[WOS] | Computer Science, Artificial Intelligence |
| 研究领域[WOS] | Computer Science |
| 关键词[WOS] | ADAPTIVE CRITIC DESIGNS ; APPROXIMATION ; REINFORCEMENT ; INTELLIGENCE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000360028800017 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/8960]  |
| 专题 | 复杂系统管理与控制国家重点实验室_深度强化学习 |
| 作者单位 | Chinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China |
| 推荐引用方式 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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来源：自动化研究所
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