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	Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems
	Liu, Derong; Wang, Ding; Wang, Fei-Yue; Li, Hongliang; Yang, Xiong
发表期刊	IEEE TRANSACTIONS ON CYBERNETICS
	2014-12-01
卷号	44期号:12页码:2834-2847
文章类型	Article
摘要	In this paper, the infinite horizon optimal robust guaranteed cost control of continuous-time uncertain nonlinear systems is investigated using neural-network-based online solution of Hamilton-Jacobi-Bellman (HJB) equation. By establishing an appropriate bounded function and defining a modified cost function, the optimal robust guaranteed cost control problem is transformed into an optimal control problem. It can be observed that the optimal cost function of the nominal system is nothing but the optimal guaranteed cost of the original uncertain system. A critic neural network is constructed to facilitate the solution of the modified HJB equation corresponding to the nominal system. More importantly, an additional stabilizing term is introduced for helping to verify the stability, which reinforces the updating process of the weight vector and reduces the requirement of an initial stabilizing control. The uniform ultimate boundedness of the closed-loop system is analyzed by using the Lyapunov approach as well. Two simulation examples are provided to verify the effectiveness of the present control approach.
关键词	Adaptive Critic Designs Adaptive/approximate Dynamic Programming (Adp) Hamilton-jacobi-bellman (Hjb) Equation Neural Networks Optimal Robust Guaranteed Cost Control Uncertain Nonlinear Systems
WOS标题词	Science & Technology ; Technology
关键词[WOS]	DYNAMIC-PROGRAMMING ALGORITHM ; ZERO-SUM GAMES ; FEEDBACK-CONTROL ; INPUT CONSTRAINTS ; UNKNOWN DYNAMICS ; TRACKING CONTROL ; LEARNING CONTROL ; POLICY UPDATE ; DESIGN ; REINFORCEMENT
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号	WOS:000345629000048
引用统计	被引频次：227[WOS]   [WOS记录]     [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3626
专题	多模态人工智能系统全国重点实验室_平行智能技术与系统团队
作者单位	Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
第一作者单位	中国科学院自动化研究所
推荐引用方式 GB/T 7714	Liu, Derong,Wang, Ding,Wang, Fei-Yue,et al. Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems[J]. IEEE TRANSACTIONS ON CYBERNETICS,2014,44(12):2834-2847.
APA	Liu, Derong,Wang, Ding,Wang, Fei-Yue,Li, Hongliang,&Yang, Xiong.(2014).Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems.IEEE TRANSACTIONS ON CYBERNETICS,44(12),2834-2847.
MLA	Liu, Derong,et al."Neural-Network-Based Online HJB Solution for Optimal Robust Guaranteed Cost Control of Continuous-Time Uncertain Nonlinear Systems".IEEE TRANSACTIONS ON CYBERNETICS 44.12(2014):2834-2847.

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