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arXiv 2210.04897eess.SYcs.SY
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时变状态约束非线性系统的鲁棒自适应神经网络控制

Robust Adaptive Neural Network Control of Time-Varying State Constrained Nonlinear Systems

Pankaj Kumar Mishra, Nishchal K Verma

摘要:

本文研究一类非常简单的未知非线性系统的跟踪控制问题。在本文中,我们提出了一种设计策略的跟踪控制的时变状态约束非线性系统的自适应框架。控制器的设计采用反推方法。在设计时,采用了障碍李雅普诺夫函数(BLF),使状态变量不违反约束条件。为了处理系统的未知动态,在线逼近器的设计使用神经网络与一种新的自适应法律的权重更新。为了使控制器的鲁棒性和计算成本低,干扰观测器的建议,以应付随着神经网络逼近误差和虚拟控制输入的时间导数的干扰。通过仿真研究证明了所提出的方法的有效性。

英文摘要:

This paper deals with the tracking control problem for a very simple class of unknown nonlinear systems. In this paper, we presents a design strategy for tracking control of time-varying state constrained nonlinear systems in an adaptive framework. The controller is designed using the backstepping method. While designing it, Barrier Lyapunov Function (BLF) is used so that the state variables do not contravene its constraints. In order to cope with the unknown dynamics of the system, an online approximator is designed using a neural network with a novel adaptive law for its weight update. To make the controller robust and computationally inexpensive, a disturbance observer is proposed to cope with the disturbance along with neural network approximation error and the time derivative of virtual control input. The effectiveness of the proposed approach is demonstrated through a simulation study.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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