Abstract

This paper is concerned with the global regulation via output feedback for the time-delay nonlinear systems with unknown continuous output function and unknown growth rate. Different from the existing literature, the output is perturbed by an unknown continuous function, and nonlinearities are upper bounded by unmeasured states multiplying an unknown constant and a polynomial of the output. A unified methodology is proposed to construct a new type of full-order observer with a dynamic gain by filtering unknown nonlinearities and time-varying delay. In light of a delicate scaling transformation, a combined system is derived to perform the one-step assignment of the controller instead of traditional backstepping recursive design. The stability analysis is completed by reductio and another scaling transformation with the upper bound of the dynamic gain. The efficiency of the proposed control scheme is demonstrated by two simulation examples including a practical one.

中文翻译：

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具有未知连续输出函数和未知增长率的时滞非线性系统的输出反馈调节

摘要

本文涉及具有未知连续输出函数和未知增长率的时滞非线性系统的输出反馈全局调节。与现有文献不同，输出受到未知连续函数的干扰，非线性受未测状态乘以未知常数和输出多项式的上限。提出了一种统一的方法，通过过滤未知的非线性和时变延迟，构造一种具有动态增益的新型全阶观测器。根据微妙的缩放转换，派生了一个组合系统来执行控制器的一步分配，而不是传统的后推递归设计。通过具有动态增益上限的归约和另一个缩放变换来完成稳定性分析。通过两个仿真示例（包括实际示例）演示了所提出的控制方案的效率。