STABILIZATION OF BILINEAR SWITCHING CONTROL SYSTEMS BY A MODE-DEPENDENT AVERAGE DWELL TIME STRATEGY

被引：3

作者：

Touahria, Messaoud ^{[1
]}

Bensalem, Naceurdine ^{[1
]}

机构：

[1] Ferhat Abbas Setif Univ 1, Fac Sci, Dept Math, Lab Fundamental & Numer Math, Setif, Algeria

来源：

MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS | 2021年 / 9卷 / 02期

关键词：

hybrid systems; bilinear systems; switched systems; stabilization; multiple Lyapunov functions; mode-dependent average dwell time; LYAPUNOV FUNCTIONS; STABILITY; DESIGN;

D O I：

10.2140/memocs.2021.9.107

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, the stabilization problem for a class of hybrid systems is studied for the special case of "bilinear switching systems", via a switching strategy called mode-dependent average dwell time, in which each subsystem has its own average dwell time and multiple Lyapunov function technique. Under this strategy of switching and this technique, we determine the state feedback control law and the time needed so that each subsystem keeps its stability and so the overall switching system stability. Therefore, our problem can be reformulated into linear matrix inequalities that can be solved numerically.

引用

页码：107 / 126

页数：20

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