AN IMPROVED DELAY-DEPENDENT STABILIZATION CRITERION OF LINEAR TIME-VARYING DELAY SYSTEMS: AN ITERATIVE METHOD

被引：1

作者：

Modala, Venkatesh ^{[1
]}

Patra, Sourav ^{[2
]}

Ray, Goshaidas ^{[2
]}

机构：

[1] Nexteer Automot India Pvt Ltd, India Software Ctr, Controls Dept, Bangalore 560037, India

[2] Indian Inst Technol, Dept Elect Engn, Kharagpu 721302, India

来源：

KYBERNETIKA | 2023年 / 59卷 / 04期

关键词：

time -delay systems; state feedback controller; Lyapunov-Krasovskii func; tional; Wirtinger's inequality; reciprocally convex inequality; linear matrix in- equality; H-INFINITY CONTROL; IMPROVED ROBUST STABILITY; OUTPUT-FEEDBACK; INEQUALITY; STATE;

D O I：

10.14736/kyb-2023-4-0633

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents delay-dependent stabilization criteria for linear time-varying delay systems. A less conservative stabilization criterion is derived by invoking a new Lyapunov- Krasovskii functional and then, extended reciprocally convex inequality in combination with Wirtinger's inequality is exploited to obtain an improved stabilization criterion where a set of nonlinear matrix inequalities is solved by applying the cone complementarity algorithm. The proposed stabilization technique transforms a non-convex problem into a nonlinear trace minimization problem which is solved by an iterative approach. Numerical examples are considered to demonstrate the effectiveness of the proposed stabilization criteria and the presented iterative algorithm outperforms some existing results.

引用

页码：633 / 654

页数：22

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