Global continuous output-feedback stabilization for a class of high-order nonlinear systems with multiple time delays
Global continuous output-feedback stabilization for a class of high-order nonlinear systems with multiple time delays
复制标题
一类多时滞高阶非线性系统的全局连续输出反馈稳定
DOI：
10.1016/j.jfranklin.2014.05.003
复制
发表时间：
2014-08-01
影响因子：
4.1
通讯作者：
Xie, Xue-Jun
中科院分区：
文献类型：
--
作者：
Sun, Zong-Yao;Zhang, Xing-Hui;Xie, Xue-Jun
本文研究了一类具有多时滞的高阶非线性系统的全局输出反馈镇定问题。所研究系统的一个显著特性是，非线性上界限制的幂次允许在一个连续区间内取值，另一个显著特性是增长条件中存在多时滞。通过引入符号函数、齐次支配和添加幂次积分器的组合方法，基于李雅普诺夫 - 克拉索夫斯基定理递归地设计了一个输出反馈控制器，以保证闭环系统的平衡点全局一致渐近稳定。© 2014富兰克林研究所。由爱思唯尔有限公司出版。保留所有权利。
This paper addresses the global output-feedback stabilization for a class of high-order nonlinear systems with multiple time delays. A distinct property of the systems to be investigated is that powers on the upper bound restrictions of nonlinearities are allowed to take values on a continuous interval, another remarkable one rests with the existence of multiple time delays in growth conditions. By introducing a combined method of sign function, homogeneous domination and adding a power integrator, an output-feedback controller based on Lyapunov-Krasviskii theorem is designed recursively to guarantee the equilibrium of the closed-loop system globally uniformly asymptotically stable. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.