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Event-Triggered H-infinity Control for Continuous-Time Nonlinear System via Concurrent Learning
Zhang, Qichao; Zhao, Dongbin; Zhu, Yuanheng
Source PublicationIEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
2017-07-01
Volume47Issue:7Pages:1071-1081
SubtypeArticle
AbstractIn this paper, the H-infinity optimal control problem for a class of continuous-time nonlinear systems is investigated using event-triggered method. First, the H-infinity optimal control problem is formulated as a two-player zero-sum (ZS) differential game. Then, an adaptive triggering condition is derived for the ZS game with an event-triggered control policy and a time-triggered disturbance policy. The event-triggered controller is updated only when the triggering condition is not satisfied. Therefore, the communication between the plant and the controller is reduced. Furthermore, a positive lower bound on the minimal intersample time is provided to avoid Zeno behavior. For implementation purpose, the event-triggered concurrent learning algorithm is proposed, where only one critic neural network (NN) is used to approximate the value function, the control policy and the disturbance policy. During the learning process, the traditional persistence of excitation condition is relaxed using the recorded data and instantaneous data together. Meanwhile, the stability of closed-loop system and the uniform ultimate boundedness (UUB) of the critic NN's parameters are proved by using Lyapunov technique. Finally, simulation results verify the feasibility to the ZS game and the corresponding H-infinity control problem.
KeywordConcurrent Learning Event-triggered Control H-infinity Optimal Control Neural Networks (Nns) Zero-sum (Zs) Game
WOS HeadingsScience & Technology ; Technology
DOI10.1109/TSMC.2016.2531680
WOS KeywordZERO-SUM GAMES ; STATE-FEEDBACK CONTROL ; UNKNOWN DYNAMICS ; ALGORITHM ; EQUATION ; DESIGNS
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China(61273136 ; 61573353 ; 61533017)
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Cybernetics
WOS IDWOS:000404354600004
Citation statistics
Cited Times:32[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14335
Collection复杂系统管理与控制国家重点实验室_深度强化学习
Corresponding AuthorZhao, Dongbin
AffiliationChinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Qichao,Zhao, Dongbin,Zhu, Yuanheng. Event-Triggered H-infinity Control for Continuous-Time Nonlinear System via Concurrent Learning[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,2017,47(7):1071-1081.
APA Zhang, Qichao,Zhao, Dongbin,&Zhu, Yuanheng.(2017).Event-Triggered H-infinity Control for Continuous-Time Nonlinear System via Concurrent Learning.IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,47(7),1071-1081.
MLA Zhang, Qichao,et al."Event-Triggered H-infinity Control for Continuous-Time Nonlinear System via Concurrent Learning".IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS 47.7(2017):1071-1081.
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