Adaptive Finite-Time Control for a Class of p-Normal Nonlinear Systems

被引：7
|
作者：
Zhai, Junyong [1 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 02期
基金：
中国国家自然科学基金;
关键词：
State feedback; Control systems; Adaptive systems; Stability criteria; Nonlinear dynamical systems; Asymptotic stability; Circuit stability; Finite-time; stability; nonlinear systems; dynamic gain; p-normal systems; OUTPUT-FEEDBACK STABILIZATION;
D O I：
10.1109/TCSII.2022.3213007
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Compared with asymptotic stability or exponential stability, finite-time stability has the advantages of fast convergence, high tracking accuracy, and strong robustness. Therefore, finite-time control problem has received extensive attention. An adaptive finite-time control problem is discussed in this brief for a class of p-normal nonlinear systems. First, an observer-based state feedback controller is constructed such that the nominal system is globally finite-time stable. Then, the nonlinear terms are dominated by introducing a dynamic gain. Based on Lyapunov stability theory, it is proved that the system state converges to origin in a finite time and the dynamic gain is bounded. Finally, an example is used to illustrate the effectiveness of the proposed control strategy.
引用
收藏
页码：705 / 709
页数：5
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