In this paper, we propose decentralized prescribed-time control schemes for a class of interconnected nonlinear systems by using time-varying high-gain domination approach. It is shown that prescribed-time exact regulation can be achieved by a linear observer based controller in the presence of completely unknown interactions. Besides, without significantly modifying the original controller structure, we develop a singularity-free controller with bounded time-varying feedback to drive the system state to converge to a compact set within a preset time, and ultimately converge to zero. In both of these approaches, the controller and observer designs have a dual architecture, thereby obviating the need for the separation principle (which might not be valid for nonlinear systems with mismatched uncertainties). In addition, the relationship between the upper bound of the time-varying gain and the stability of the closed-loop system is thoroughly analyzed.

中文翻译：

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通过输出反馈对互连非线性系统进行分散规定时间控制

在本文中，我们利用时变高增益控制方法提出了一类互连非线性系统的分散规定时间控制方案。结果表明，在存在完全未知的相互作用的情况下，基于线性观测器的控制器可以实现规定时间的精确调节。此外，在不大幅修改原始控制器结构的情况下，我们开发了一种具有有界时变反馈的无奇点控制器，以驱动系统状态在预设时间内收敛到紧集，并最终收敛到零。在这两种方法中，控制器和观测器设计都具有双重架构，从而消除了对分离原理的需要（这对于具有不匹配不确定性的非线性系统可能无效）。此外，还深入分析了时变增益上限与闭环系统稳定性之间的关系。