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Nonlinear time-delay anti-windup compensator synthesis for nonlinear time-delay systems: A delay-range-dependent approach

机译：非线性时滞系统的非线性时延抗饱和补偿器综合：一种依赖于延迟范围的方法

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摘要

This paper addresses the novel architectures' formulation and linear matrix inequality (LMI)-based design of dynamic nonlinear anti-windup compensator (AWC) for nonlinear time-delay systems with continuous interval time-varying delays under input saturation. An internal model control (IMC)-based AWC architecture is suggested for stable nonlinear time-delay systems and, in addition, a decoupling AWC architecture, applicable to a broader class of nonlinear time-delay systems, is proposed for compension of the undesirable saturation effects. Further, a correspondent decoupled architecture is derived and recommended for characterizing the delayed nonlinear AWC synthesis goals. By employing Lyapunov-Krasovskii functional, local sector condition, Lipschitz condition, L-2 gain minimization, and the delay-interval information, several sufficient conditions are derived for the design of nonlinear time delay AWC. Numerical examples for FitzHugh-Nagumo neuron and Hopfield neural network under input saturation and time-delay are presented to reveal effectiveness of the proposed anti-windup approach. (C) 2016 Elsevier B.V. All rights reserved.
机译：本文针对输入饱和下具有连续间隔时变时滞的非线性时滞系统，提出了新颖的体系结构公式化和基于线性矩阵不等式（LMI）的动态非线性抗饱和补偿器（AWC）设计。建议使用基于内部模型控制（IMC）的AWC架构来稳定非线性时滞系统，此外，提出一种适用于更广泛类别的非线性时滞系统的去耦AWC架构来补偿不希望的饱和度效果。此外，推导了相应的解耦架构，并推荐用于表征延迟的非线性AWC综合目标。通过利用Lyapunov-Krasovskii函数，局部扇区条件，Lipschitz条件，L-2增益最小化和延迟间隔信息，可以为非线性时延AWC的设计导出几个充分条件。给出了在输入饱和和时滞条件下FitzHugh-Nagumo神经元和Hopfield神经网络的数值示例，以揭示所提出的反饱和方法的有效性。 （C）2016 Elsevier B.V.保留所有权利。

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