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

页码：684 / 699

页数：16

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