Prescribed-time stabilization of nonlinear systems with uncertainties/disturbances by improved time-varying feedback control

被引：2

作者：

Feng, Lichao ^{[1
,2
]}

Dai, Mengyuan ^{[1
]}

Ji, Nan ^{[1
]}

Zhang, Yingli ^{[1
]}

Du, Liping ^{[1
]}

机构：

[1] North China Univ Sci & Technol, Coll Sci, Tangshan 063210, Peoples R China

[2] North China Univ Sci & Technol, Hebei Key Lab Data Sci & Applicat, Tangshan 063210, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 09期

关键词：

nonlinear system; prescribed-time stability; state feedback; time-varying feedback control; parametric Lyapunov equation; FINITE-TIME; FIXED-TIME; GLOBAL STABILIZATION; STABILITY; TRACKING;

D O I：

10.3934/math.20241159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the prescribed-time stability of a class of nonlinear system with uncertainty/disturbance. With the help of the parametric Lyapunov equation (PLE), we designed a state feedback control to regulate the full-state of a controlled system within prescribed time, independent of initial conditions. The result illustrated that the controlled state converges to zero as t approaches the settling time and remains zero thereafter. It was further proved that the controller is bounded by a constant that depends on the system state. A numerical example is presented to verify the validity of the theoretical results.

引用

页码：23859 / 23877

页数：19

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