Abstract This paper studies the problem of global asymptotic stabilization for a class of upper-triangular systems with large delays in the state and input. Using the idea of feedback domination, we develop a Lyapunov-Krasovskii method for the design of time-invariant, memoryless linear state and output feedback controllers, achieving global asymptotic stabilization of the closed-loop systems under a linear growth condition. The resulting controllers are different from predictor-based or delay-dependent controllers in the sense that they are delay-free and easier to be implemented due to the nature of “memoryless” feedback. Two examples are presented to demonstrate the effectiveness of the proposed delay-free state and output feedback control strategies.

中文翻译：

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一类具有大状态和输入延迟的上三角系统的无记忆线性反馈控制

摘要 本文研究了一类状态和输入时滞较大的上三角系统的全局渐近镇定问题。利用反馈支配的思想，我们开发了一种用于设计时不变、无记忆线性状态和输出反馈控制器的 Lyapunov-Krasovskii 方法，在线性增长条件下实现闭环系统的全局渐近稳定。由此产生的控制器不同于基于预测器或依赖于延迟的控制器，因为它们是无延迟的，并且由于“无记忆”反馈的性质而更容易实现。提出了两个例子来证明所提出的无延迟状态和输出反馈控制策略的有效性。