CASIA OpenIR  > 复杂系统管理与控制国家重点实验室  > 平行控制
Error Bounds of Adaptive Dynamic Programming Algorithms for Solving Undiscounted Optimal Control Problems
Liu, Derong; Li, Hongliang; Wang, Ding
Source PublicationIEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
2015-06-01
Volume26Issue:6Pages:1323-1334
SubtypeArticle
AbstractIn this paper, we establish error bounds of adaptive dynamic programming algorithms for solving undiscounted infinite-horizon optimal control problems of discrete-time deterministic nonlinear systems. We consider approximation errors in the update equations of both value function and control policy. We utilize a new assumption instead of the contraction assumption in discounted optimal control problems. We establish the error bounds for approximate value iteration based on a new error condition. Furthermore, we also establish the error bounds for approximate policy iteration and approximate optimistic policy iteration algorithms. It is shown that the iterative approximate value function can converge to a finite neighborhood of the optimal value function under some conditions. To implement the developed algorithms, critic and action neural networks are used to approximate the value function and control policy, respectively. Finally, a simulation example is given to demonstrate the effectiveness of the developed algorithms.
KeywordAdaptive Critic Designs Adaptive Dynamic Programming (Adp) Approximate Dynamic Programming Neural Networks Neurodynamic Programming Nonlinear Systems Optimal Control
WOS HeadingsScience & Technology ; Technology
WOS KeywordTIME NONLINEAR-SYSTEMS ; MARKOV DECISION-PROCESSES ; OPTIMAL TRACKING CONTROL ; ZERO-SUM GAMES ; POLICY ITERATION ; LAPLACIAN FRAMEWORK ; UNKNOWN DYNAMICS ; FEEDBACK-CONTROL ; CONTROL SCHEME ; HJB SOLUTION
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000354957000017
Citation statistics
Cited Times:23[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/7924
Collection复杂系统管理与控制国家重点实验室_平行控制
AffiliationChinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Liu, Derong,Li, Hongliang,Wang, Ding. Error Bounds of Adaptive Dynamic Programming Algorithms for Solving Undiscounted Optimal Control Problems[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2015,26(6):1323-1334.
APA Liu, Derong,Li, Hongliang,&Wang, Ding.(2015).Error Bounds of Adaptive Dynamic Programming Algorithms for Solving Undiscounted Optimal Control Problems.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,26(6),1323-1334.
MLA Liu, Derong,et al."Error Bounds of Adaptive Dynamic Programming Algorithms for Solving Undiscounted Optimal Control Problems".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 26.6(2015):1323-1334.
Files in This Item: Download All
File Name/Size DocType Version Access License
[00-J-2015-TNNLS] Er(1114KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, Derong]'s Articles
[Li, Hongliang]'s Articles
[Wang, Ding]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, Derong]'s Articles
[Li, Hongliang]'s Articles
[Wang, Ding]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, Derong]'s Articles
[Li, Hongliang]'s Articles
[Wang, Ding]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: [00-J-2015-TNNLS] Error bounds of adaptive dynamic programming algorithms for solving undiscounted optimal control problems.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.