Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming

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	Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming
	Song, Ruizhuo 1; Wei, Qinglai2 ; Sun, Qiuye 3
刊名	NEUROCOMPUTING
	2015-05-25
卷号	156 页码:166-175
关键词	Adaptive dynamic programming Approximate dynamic programming Adaptive critic designs Nonlinear systems Optimal control Time-delay
英文摘要	In this paper, a novel adaptive dynamic programming (ADP) algorithm is developed to solve the nearly optimal finite-horizon control problem for a class of deterministic nonaffine nonlinear time-delay systems. The idea is to use ADP technique to obtain the nearly optimal control which makes the optimal performance index function close to the greatest lower bound of all performance index functions within finite time. The proposed algorithm contains two cases with respective different initial iterations. In the first case, there exists control policy which makes arbitrary state of the system reach to zero in one time step. In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps. The state updating is used to determine the optimal state. Convergence analysis of the performance index function is given. Furthermore, the relationship between the iteration steps and the length of the control sequence is presented. Two neural networks are used to approximate the performance index function and compute the optimal control policy for facilitating the implementation of ADP iteration algorithm. At last, two examples are used to demonstrate the effectiveness of the proposed ADP iteration algorithm. (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]	MULTIOBJECTIVE OPTIMAL-CONTROL ; MULTIPLE DELAYS ; LINEAR-SYSTEMS ; CONTROLLABILITY ; ALGORITHM
收录类别	SCI
语种	英语
WOS记录号	WOS:000351978100020
公开日期	2015-09-22
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/8124]
专题	复杂系统管理与控制国家重点实验室_平行控制
作者单位	1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China 3.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
推荐引用方式 GB/T 7714	Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye. Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming[J]. NEUROCOMPUTING,2015,156:166-175.
APA	Song, Ruizhuo,Wei, Qinglai,&Sun, Qiuye.(2015).Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming.NEUROCOMPUTING,156,166-175.
MLA	Song, Ruizhuo,et al."Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming".NEUROCOMPUTING 156(2015):166-175.