A methodology for designing anti-windup compensators is investigated, for sampled-data systems with delays and actuator saturation. More precisely, criteria for the existence of an anti-windup compensator that ensure simultaneously stability and an $$H_{\infty }$$ norm bound in closed-loop are developed, thanks to the use of a three-term approximation of the delays, of the scaled small gain theorem, and of a Wirtinger-based inequality. The criteria are in the form of a set of linear matrix inequalities: an optimization algorithm is proposed to maximize the estimated domain of attraction that can be easily implemented. Some simulation examples are also provided to demonstrate the superiority of the proposed approach.

中文翻译：

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具有时变延迟的采样数据系统抗饱和设计的输入-输出方法

研究了一种设计抗饱和补偿器的方法，用于具有延迟和致动器饱和的采样数据系统。更准确地说，由于使用了延迟的三项近似，开发了同时确保稳定性和闭环中的 $$H_{\infty }$$ 范数界限的抗饱和补偿器的存在标准，缩放小增益定理和基于 Wirtinger 的不等式。标准采用一组线性矩阵不等式的形式：提出了一种优化算法，以最大化可以轻松实现的估计吸引域。还提供了一些仿真示例来证明所提出方法的优越性。