Adaptive dynamic programming for robust neural control of unknown continuous-time non-linear systems
Yang, Xiong1,2; He, Haibo2; Liu, Derong3; Zhu, Yuanheng4
2017-09-14
发表期刊IET CONTROL THEORY AND APPLICATIONS
卷号11期号:14页码:2307-2316
文章类型Article
摘要The design of robust controllers for continuous-time (CT) non-linear systems with completely unknown non-linearities is a challenging task. The inability to accurately identify the non-linearities online or offline motivates the design of robust controllers using adaptive dynamic programming (ADP). In this study, an ADP-based robust neural control scheme is developed for a class of unknown CT non-linear systems. To begin with, the robust non-linear control problem is converted into a non-linear optimal control problem via constructing a value function for the nominal system. Then an ADP algorithm is developed to solve the non-linear optimal control problem. The ADP algorithm employs actor-critic dual networks to approximate the control policy and the value function, respectively. Based on this architecture, only system data is necessary to update simultaneously the actor neural network (NN) weights and the critic NN weights. Meanwhile, the persistence of excitation assumption is no longer required by using the Monte Carlo integration method. The closed-loop system with unknown non-linearities is demonstrated to be asymptotically stable under the obtained optimal control. Finally, two examples are provided to validate the developed method.
关键词Dynamic Programming Robust Control Neurocontrollers Continuous Time Systems Control System Synthesis Nonlinear Control Systems Optimal Control Function Approximation Monte Carlo Methods Closed Loop Systems Asymptotic Stability Adaptive Dynamic Programming Robust Neural Control Design Unknown Continuous-time Nonlinear Systems Ct Nonlinear Systems Adp-based Robust Neural Control Scheme Robust Nonlinear Control Problem Nonlinear Optimal Control Problem Nominal System Adp Algorithm Actor-critic Dual Networks Control Policy Approximation Value Function Approximation Actor Neural Network Weights Critic Nn Weights Monte Carlo Integration Method Closed-loop System Asymptotically Stability
WOS标题词Science & Technology ; Technology
DOI10.1049/iet-cta.2017.0154
关键词[WOS]APPROXIMATE OPTIMAL-CONTROL ; POLICY ITERATION ; CONTROL DESIGN ; MANIPULATORS ; CONSTRAINTS ; ALGORITHM
收录类别SCI
语种英语
项目资助者National Natural Science Foundation of China(61503379 ; U.S. National Science Foundation(ECCS 1053717 ; 61533017 ; CMMI 1526835) ; 61603382 ; 51529701)
WOS研究方向Automation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS类目Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号WOS:000409425700015
引用统计
被引频次:9[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/173211/15289
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.Tianjin Univ, Sch Elect & Informat Engn, Tianjin 300072, Peoples R China
2.Univ Rhode Isl, Dept Elect Comp & Biomed Engn, Kingston, RI 02881 USA
3.Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
4.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
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Yang, Xiong,He, Haibo,Liu, Derong,et al. Adaptive dynamic programming for robust neural control of unknown continuous-time non-linear systems[J]. IET CONTROL THEORY AND APPLICATIONS,2017,11(14):2307-2316.
APA Yang, Xiong,He, Haibo,Liu, Derong,&Zhu, Yuanheng.(2017).Adaptive dynamic programming for robust neural control of unknown continuous-time non-linear systems.IET CONTROL THEORY AND APPLICATIONS,11(14),2307-2316.
MLA Yang, Xiong,et al."Adaptive dynamic programming for robust neural control of unknown continuous-time non-linear systems".IET CONTROL THEORY AND APPLICATIONS 11.14(2017):2307-2316.
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