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A Simplified Adaptive Neural Network Prescribed Performance Controller for Uncertain MIMO Feedback Linearizable Systems

机译:不确定MIMO反馈线性化系统的简化自适应神经网络规定性能控制器

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摘要

In this paper, the problem of deriving a continuous, state-feedback controller for a class of multiinput multioutput feedback linearizable systems is considered with special emphasis on controller simplification and reduction of the overall design complexity with respect to the current state of the art. The proposed scheme achieves prescribed bounds on the transient and steady-state performance of the output tracking errors despite the uncertainty in system nonlinearities. Contrary to the current state of the art, however, only a single neural network is utilized to approximate a scalar function that partly incorporates the system nonlinearities. Furthermore, the loss of model controllability problem, typically introduced owing to approximation model singularities, is avoided without attaching additional complexity to the control or adaptive law. Simulations are performed to verify and clarify the theoretical findings.
机译:在本文中,考虑为一类多输入多输出反馈线性化系统推导连续状态反馈控制器的问题,并着重于简化控制器并相对于现有技术降低总体设计复杂性。尽管系统非线性存在不确定性,但所提出的方案仍实现了输出跟踪误差的瞬态和稳态性能的规定界限。但是,与现有技术相反,仅利用单个神经网络来近似估计部分包含系统非线性的标量函数。此外,避免了通常由于近似模型奇异性而引入的模型可控制性问题的损失,而不会给控制或自适应定律附加额外的复杂性。进行仿真以验证和澄清理论发现。

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