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Identification and control of class of non-linear systems with non-symmetric deadzone using recurrent neural networks

机译:基于递归神经网络的非对称死区非线性系统的辨识与控制

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摘要

In this study, a neuro-controller with adaptive deadzone compensation for a class of unknown SISO non-linear systems in a Brunovsky form with uncertain deadzone input is presented. Based on a proper smooth parameterisation of the deadzone, the unknown dynamics is identified by using a continuous time recurrent neural network whose weights are adjusted on-line by stable differential learning laws. On the basis of this neural model so obtained, a feedback linearisation controller is developed in order to follow a bounded reference trajectory specified. By means of Lyapunov analysis, the boundedness of all the closed-loop signals as well as the weights and deadzone parameter estimations is rigorously proven. Besides, the exponential convergence of the actual tracking error to a bounded zone is guaranteed. The effectiveness of this scheme is illustrated by a numerical simulation.
机译:在这项研究中,针对具有未知死区输入的Brunovsky形式的一类未知SISO非线性系统,提供了具有自适应死区补偿的神经控制器。基于正确的盲区平滑参数化,使用连续时间递归神经网络来识别未知动力学,该网络的权重可以通过稳定的差分学习定律进行在线调整。在这样获得的神经模型的基础上,开发了一个反馈线性化控制器,以遵循指定的有界参考轨迹。通过李雅普诺夫分析,所有闭环信号的有界性以及权重和死区参数估计得到了严格证明。此外,保证了实际跟踪误差到有界区域的指数收敛。数值模拟说明了该方案的有效性。

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