Global stabilization for a class of upper-triangular nonlinear systems with unmodeled dynamics and time-delay

Global stabilization for a class of upper-triangular nonlinear systems with unmodeled dynamics and time-delay
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一类具有未建模动力学和时滞的上三角非线性系统的全局稳定性

DOI:
10.1080/00207179.2018.1496278
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发表时间:
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影响因子:
2.1
通讯作者:
Zongyao Sun
Zongyao Sun
中科院分区:
计算机科学4区
文献类型:
--
作者:
Weihai Zhang;Lingrong Xue;Zhenguo Liu;Zongyao Sun

文献摘要

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研究了一类上三角非线性时滞系统的镇定控制问题。这类系统的一个显著特点是含有未建模动态、未知控制系数和时变时滞,这给控制器的设计带来了很大的困难。通过改进齐次控制方法和引入增益缩放方法,构造了一种新的控制器,使得闭环系统的所有状态有界且收敛到原点。仿真实例验证了理论的有效性。
This paper considers the stabilisation control problem of upper-triangular nonlinear time-delay systems. One distinct characteristic of this work is that the systems contain unmodelled dynamics, unknown control coefficients and time-varying delay, which make the control design much more difficult. By modifying the homogeneous domination approach and introducing a gain-scaling method, a new controller is constructed such that all the states of the closed-loop systems are bounded and convergent to the origin. Simulation examples are given to illustrate the validity of the theory.