Adaptive Neural Network H∞ tracking control for a class of uncertain nonlinear systems

Hu Hui, Guorong Liu, Pengfei Guo
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Abstract

An adaptive neural network H∞ tracking control architecture with state observer is proposed for a class of non-affine nonlinear systems with external disturbance and unavailable states. The controller consists of an equivalent controller and H∞ controller. H∞ controller is designed to attenuate the effect of external disturbance and approximation errors of the neural network, and a state observer is used to estimate the system output derivatives which are unavailable for measurement. The overall control scheme and the parameters update laws based on Lyapunov theory can guarantee asymptotic convergence of the tracking error to zero and attenuate the effect of the disturbance to a prescribed level. Simulation results illustrate the effectiveness of the scheme.
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一类不确定非线性系统的自适应神经网络H∞跟踪控制
针对一类具有外部干扰和不可用状态的非仿射非线性系统,提出了一种带状态观测器的自适应神经网络H∞跟踪控制体系。控制器由等效控制器和H∞控制器组成。设计了H∞控制器来减弱外部干扰和神经网络逼近误差的影响,并使用状态观测器来估计无法测量的系统输出导数。基于李雅普诺夫理论的总体控制方案和参数更新规律能够保证跟踪误差渐近收敛于零,并将扰动的影响减弱到规定的水平。仿真结果验证了该方案的有效性。
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