Global stabilization of lower-triangular nonlinear systems with delayed input and delayed state

被引：0

作者：

Sun Z.-Y. ^{[1
]}

Peng Y. ^{[1
]}

Wen C. ^{[2
]}

机构：

[1] Institute of Automation, Qufu Normal University, Qufu, 273165, Shandong Province

[2] School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore

来源：

Journal of the Franklin Institute | 2020年 / 357卷 / 10期

基金：

中国国家自然科学基金;

关键词：

State feedback - Stabilization - Lyapunov functions;

D O I：

10.1016/j.jfranklin.2020.03.006

中图分类号：

学科分类号：

摘要：

This paper addresses the problem of the global state feedback stabilization for a class of lower-triangular nonlinear systems whose states and input are perturbed by time-delay simultaneously. Quite different from upper-triangular systems, the presence of delayed input leads to the serious dependency of the stabilizer upon the size of the delays and the failed compensation of delayed states in such situation. The remarkable feature of the proposed method lies in the fact that it makes possible to achieve the stabilizing controller with the help of a simple inductive design and an integral Lyapunov function. Finally, theoretical results are illustrated and supported by the simulation. © 2020 The Franklin Institute

引用

页码：5720 / 5734

页数：14

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