Adaptive neural control for a class of stochastic nonlinear systems with unknown parameters, unknown nonlinear functions and stochastic disturbances

Chen Chao-Yang; Gui Wei-Hua; Guan Zhi-Hong; Wang Ru-Liang; Zhou Shao-Wu

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Adaptive neural control for a class of stochastic nonlinear systems with unknown parameters, unknown nonlinear functions and stochastic disturbances

机译：一类参数未知，非线性函数未知和随机干扰的随机非线性系统的自适应神经控制

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摘要

In this paper, adaptive neural control (ANC) is investigated for a class of strict-feedback nonlinear stochastic systems with unknown parameters, unknown nonlinear functions and stochastic disturbances. The new controller of adaptive neural network with state feedback is presented by using a universal approximation of radial basis function neural network and backstepping. An adaptive neural network state-feedback controller is designed by constructing a suitable Lyapunov function. Adaptive bounding design technique is used to deal with the unknown nonlinear functions and unknown parameters. It is shown that the global asymptotically stable in probability can be achieved for the closed-loop system. The simulation results are presented to demonstrate the effectiveness of the proposed control strategy in the presence of unknown parameters, unknown nonlinear functions and stochastic disturbances.

机译：本文针对参数未知，非线性函数未知和随机干扰的一类严格反馈非线性随机系统，研究了自适应神经控制（ANC）。通过使用径向基函数神经网络的通用逼近和反推，提出了具有状态反馈的自适应神经网络的新型控制器。通过构造合适的李雅普诺夫函数来设计自适应神经网络状态反馈控制器。自适应边界设计技术用于处理未知的非线性函数和未知的参数。结果表明，对于闭环系统，可以实现全局渐近稳定的概率。仿真结果表明了所提出的控制策略在未知参数，未知非线性函数和随机干扰存在下的有效性。

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来源
《Neurocomputing》 |2017年第22期|101-108|共8页
作者
Chen Chao-Yang; Gui Wei-Hua; Guan Zhi-Hong; Wang Ru-Liang; Zhou Shao-Wu;
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作者单位

Hunan Univ Sci & Technol, Sch Informat & Elect Engn, Xiangtan 411201, Peoples R China|Cent S Univ, Sch Informat Sci & Engn, Changsha 410012, Hunan, Peoples R China;

Cent S Univ, Sch Informat Sci & Engn, Changsha 410012, Hunan, Peoples R China;

Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China;

Guangxi Teachers Educ Univ, Comp & Informat Engn Coll, Nanning 530001, Peoples R China;

Hunan Univ Sci & Technol, Sch Informat & Elect Engn, Xiangtan 411201, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Unknown parameters; Stochastic disturbances; Unknown nonlinear functions; Stochastic nonlinear; Adaptive neural control;

机译：未知参数;随机干扰;未知非线性函数;随机非线性;自适应神经控制;

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2. Adaptive Output Feedback Control for Switched Stochastic Nonlinear Systems with Time-varying Parameters and Unknown Output Functions [J] . Ye Hui, Jiang Bin, Yang Hao International Journal of Control, Automation, and Systems . 2019,第11期

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4. Adaptive neural control for a class of stochastic nonlinear pure-feedback systems with unknown control direction [C] . Yu Zhaoxu, Luo Jianxu, Du Hongbin 2011 30th Chinese Control Conference . 2011

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5. On-line modeling and inverse optimal control of a class of unknown nonlinear systems using dynamic neural networks. [D] . Farid, Farshad. 2006

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6. Singularity-Free Neural Control for the Exponential Trajectory Tracking in Multiple-Input Uncertain Systems with Unknown Deadzone Nonlinearities [O] . J. Humberto Pérez-Cruz, José de Jesús Rubio, Rodrigo Encinas, -1

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7. Adaptive Neural Control for a Class of Stochastic Nonlinear Systems with Unknown Parameters, Unknown Nonlinear Functions and Stochastic Disturbances [O] . Chena, Chao-Yang, Gui, Wei-Hua, Guan, Zhi-Hong, 2017

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8. Adaptive Policies for Discrete-Time Stochastic Control Systems with Unknown Disturbance Distribution [R] . Hernandaz-Lerma, O., Marcus, S. I. 1987

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Adaptive neural control for a class of stochastic nonlinear systems with unknown parameters, unknown nonlinear functions and stochastic disturbances

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