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一类具有时变延迟和零动态的不确定性非线性系统通过输出反馈实现全局镇定。

Global stabilization via output feedback for a class of uncertainty nonlinear systems with time-varying delay and zero dynamics.

作者信息

Zhang Kai, Sun Zong-Yao, Chen Chih-Chiang, Meng Qinghua

机构信息

Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, PR China.

Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, PR China.

出版信息

ISA Trans. 2023 Jan;132:235-245. doi: 10.1016/j.isatra.2022.06.016. Epub 2022 Jun 17.

DOI:10.1016/j.isatra.2022.06.016
PMID:35791971
Abstract

This paper proposes a new control strategy to deal with three different types of uncertainties for a class of time-varying delay nonlinear systems. Quite different from related celebrated works, the considered systems allow the existence of parameter uncertainties in the output function and nonlinearities, dynamic uncertainties of the unmeasurable state, and continuous external disturbances, which invokes the motivation of the paper. The objective is to construct a continuous output feedback controller by utilizing a new restructured integral function and the double-domination method. The novelty control design is the capability of tackling zero-dynamic and unknown output function simultaneously, thereby guaranteeing the state convergence of the closed-loop system. Finally, the proposed scheme is applied to a practical example and a numerical one simultaneously to demonstrate the effectiveness and the superiority.

摘要

本文针对一类时变延迟非线性系统,提出了一种新的控制策略,以处理三种不同类型的不确定性。与相关著名研究工作截然不同的是,所考虑的系统允许输出函数和非线性项中存在参数不确定性、不可测状态的动态不确定性以及连续外部干扰,这激发了本文的研究动机。目标是利用一种新的重构积分函数和双重控制方法来构造一个连续输出反馈控制器。新颖的控制设计能够同时处理零动态和未知输出函数,从而保证闭环系统的状态收敛。最后,将所提出的方案同时应用于一个实际例子和一个数值例子,以证明其有效性和优越性。

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