Finite-Time Bounded Tracking Control for a Class of Neutral Systems

被引：0
|
作者：
Wu, Jiang [1 ]
Xu, Yujie [2 ,3 ]
Xie, Hao [4 ]
Zou, Yao [5 ,6 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, 30 Xueyuan Rd,Haidian Dist, Beijing 100083, Peoples R China
[2] Beijing Union Univ, Inst Fundamental & Interdisciplinary Sci, 97 Beisihuan East Rd,Chaoyang Dist, Beijing 100101, Peoples R China
[3] Beijing Union Univ, Inst Math & Phys, 97 Beisihuan East Rd,Chaoyang Dist, Beijing 100101, Peoples R China
[4] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
[5] Univ Sci & Technol Beijing, Sch Automation & Elect Engn, 30 Xueyuan Rd,Haidian Dist, Beijing 100083, Peoples R China
[6] Univ Sci & Technol Beijing, Sch Intelligence Sci & Technol, 30 Xueyuan Rd,Haidian Dist, Beijing 100083, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 05期
关键词：
finite-time bounded tracking; linear matrix inequalities (LMIs); Lyapunov-Krasovskii functional; neutral systems; STOCHASTIC NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; STABILITY; STABILIZATION;
D O I：
10.3390/math11051199
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate finite-time bounded (FTB) tracking control for a class of neutral systems. Firstly, the dynamic equation of the tracking error signal is given based on the original neutral system. Then, we combine it with the equations of the state vector to construct an error system, where the reference signal and the disturbance signal are fused in a new vector. Next, about the error system, we study the input-output finite-time stability problem of the closed-loop system by utilizing the Lyapunov-Krasovskii functional. We also give a finite-time stability condition in the form of linear matrix inequalities (LMIs). Furthermore, the delay-dependent and delay-independent finite-time bounded tracking controllers are designed separately for the original system. Finally, a realistic example is given to show the effectiveness of the controller design method in the paper.
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页数：16
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