CASIA OpenIR  > 复杂系统管理与控制国家重点实验室  > 平行控制
Adaptive Optimal Control of Highly Dissipative Nonlinear Spatially Distributed Processes With Neuro-Dynamic Programming
Luo, Biao1,2; Wu, Huai-Ning1; Li, Han-Xiong3
Source PublicationIEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
2015-04-01
Volume26Issue:4Pages:684-696
SubtypeArticle
AbstractHighly dissipative nonlinear partial differential equations (PDEs) are widely employed to describe the system dynamics of industrial spatially distributed processes (SDPs). In this paper, we consider the optimal control problem of the general highly dissipative SDPs, and propose an adaptive optimal control approach based on neuro-dynamic programming (NDP). Initially, Karhunen-Loeve decomposition is employed to compute empirical eigenfunctions (EEFs) of the SDP based on the method of snapshots. These EEFs together with singular perturbation technique are then used to obtain a finite-dimensional slow subsystem of ordinary differential equations that accurately describes the dominant dynamics of the PDE system. Subsequently, the optimal control problem is reformulated on the basis of the slow subsystem, which is further converted to solve a Hamilton-Jacobi-Bellman (HJB) equation. HJB equation is a nonlinear PDE that has proven to be impossible to solve analytically. Thus, an adaptive optimal control method is developed via NDP that solves the HJB equation online using neural network (NN) for approximating the value function; and an online NN weight tuning law is proposed without requiring an initial stabilizing control policy. Moreover, by involving the NN estimation error, we prove that the original closed-loop PDE system with the adaptive optimal control policy is semiglobally uniformly ultimately bounded. Finally, the developed method is tested on a nonlinear diffusion-convection-reaction process and applied to a temperature cooling fin of high-speed aerospace vehicle, and the achieved results show its effectiveness.
KeywordAdaptive Optimal Control Empirical Eigenfunction (Eef) Highly Dissipative Partial Differential Equations (Pdes) Neuro-dynamic Programming (Ndp) Spatially Distributed Processes (Sdps)
WOS HeadingsScience & Technology ; Technology
WOS KeywordDISCRETE-TIME-SYSTEMS ; HYPERBOLIC PDE SYSTEMS ; FINITE-DIMENSIONAL APPROXIMATION ; OPTIMAL TRACKING CONTROL ; OUTPUT-FEEDBACK CONTROL ; PARAMETER-SYSTEMS ; MODEL-REDUCTION ; ROBUST-CONTROL ; ITERATION ALGORITHM ; STABILIZATION
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:000351835900004
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/10738
Collection复杂系统管理与控制国家重点实验室_平行控制
Corresponding AuthorLuo, Biao
Affiliation1.Beihang Univ, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
3.City Univ Hong Kong, Dept Syst Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Luo, Biao,Wu, Huai-Ning,Li, Han-Xiong. Adaptive Optimal Control of Highly Dissipative Nonlinear Spatially Distributed Processes With Neuro-Dynamic Programming[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2015,26(4):684-696.
APA Luo, Biao,Wu, Huai-Ning,&Li, Han-Xiong.(2015).Adaptive Optimal Control of Highly Dissipative Nonlinear Spatially Distributed Processes With Neuro-Dynamic Programming.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,26(4),684-696.
MLA Luo, Biao,et al."Adaptive Optimal Control of Highly Dissipative Nonlinear Spatially Distributed Processes With Neuro-Dynamic Programming".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 26.4(2015):684-696.
Files in This Item: Download All
File Name/Size DocType Version Access License
2015IEEE TNNLS Adapt(2465KB)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
[Luo, Biao]'s Articles
[Wu, Huai-Ning]'s Articles
[Li, Han-Xiong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Luo, Biao]'s Articles
[Wu, Huai-Ning]'s Articles
[Li, Han-Xiong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Luo, Biao]'s Articles
[Wu, Huai-Ning]'s Articles
[Li, Han-Xiong]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 2015IEEE TNNLS Adaptive Optimal Control of Highly Dissipative Nonlinear Spatially Distributed Processes With Neuro-Dynamic Programming.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

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