This paper solves the problem of how to control a chain of integrators with unknown delays in both state and input by memoryless state feedback. Inspired by the non-identifier based adaptive control scheme (Lei and Lin, 2006) as well as the recent progress in stabilizing time-delay feedforward systems with unknown parameters via dynamic state compensation (Sun and Lin, 2023), we design a memoryless universal controller (finite-dimensional) which adaptively stabilizes the time-delay integrators whose all delays are not known a priori. As a byproduct of this development, global adaptive regulation of a class of nonlinear systems with unknown delays and unknown parameters is also solved by the proposed universal control strategy.

中文翻译：

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对具有未知延迟和参数的积分器和扰动链进行非标识符的自适应控制


本文解决了如何通过无记忆状态反馈控制状态和输入延迟未知的积分器链的问题。受基于非标识符的自适应控制方案 （Lei and Lin， 2006） 以及最近通过动态状态补偿稳定具有未知参数的时间延迟前馈系统 （Sun and Lin， 2023） 的启发，我们设计了一个无记忆通用控制器 （有限维），它自适应地稳定所有延迟都不是先验已知的时滞积分器。作为这一发展的副产品，所提出的通用控制策略也解决了一类具有未知延迟和未知参数的非线性系统的全局自适应调节。