Chen Weisheng, Jiao Licheng, Li Jing, Li Ruihong
Department of Applied Mathematics and the Key Laboratory of Intelligent Perception and Image Understanding, Ministry of Education of China, Xidian University, Xi'an 710071, China.
IEEE Trans Syst Man Cybern B Cybern. 2010 Jun;40(3):939-50. doi: 10.1109/TSMCB.2009.2033808. Epub 2009 Nov 24.
For the first time, this paper addresses the problem of adaptive output-feedback control for a class of uncertain stochastic nonlinear strict-feedback systems with time-varying delays using neural networks (NNs). The circle criterion is applied to designing a nonlinear observer, and no linear growth condition is imposed on nonlinear functions depending on system states. Under the assumption that time-varying delays exist in the system output, only an NN is employed to compensate for all unknown nonlinear terms depending on the delayed output, and thus, the proposed control algorithm is more simple even than the existing NN backstepping control schemes for uncertain systems described by ordinary differential equations. Three examples are given to demonstrate the effectiveness of the control scheme proposed in this paper.
本文首次研究了一类具有时变延迟的不确定随机非线性严格反馈系统的自适应输出反馈控制问题，采用神经网络（NNs）进行控制。应用圆判据设计非线性观测器，且对依赖于系统状态的非线性函数不施加线性增长条件。在系统输出存在时变延迟的假设下，仅使用一个神经网络来补偿所有依赖于延迟输出的未知非线性项，因此，所提出的控制算法甚至比现有用于由常微分方程描述的不确定系统的神经网络反步控制方案更为简单。给出了三个例子来证明本文所提出控制方案的有效性。
