Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations

被引：3
|
作者：
Shahbazzadeh, Majid [1 ]
Sadati, Seyed Jalil [1 ]
机构：
[1] Babol Noshirvani Univ Technol, Fac Elect & Comp Engn, Babol, Iran
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2022年 / 41卷 / 02期
关键词：
Time-delay systems; Nonlinear perturbations; Lipschitz nonlinearity; Delay-dependent stabilization; State feedback controller; ROBUST STABILITY-CRITERIA; VARYING DELAY; LINEAR-SYSTEMS; OBSERVERS; NETWORKS; DESIGN;
D O I：
10.1007/s00034-021-01810-w
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：
This paper deals with the stability and stabilization problems of time-delay systems with nonlinear perturbations. The perturbations are modelled by a nonlinear function of current and/or delayed states. By utilizing Lyapunov-Krasovskii functional, sufficient conditions are obtained in terms of LMIs for the different types of perturbations. The stabilization problem is originally non-convex because of the coupling between the Lyapunov matrices and the controller gains. In order to decouple decision variables, the Young's relation is used in a judicious manner. Numerical examples are given to demonstrate that the proposed method can provide a state feedback controller for a larger delay range than existing methods.
引用
收藏
页码：684 / 699
页数：16
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