Stabilization of switched linear systems by a controller of variable structure

被引：4

作者：

Fursov, A. S. ^{[1
]}

Kapalin, I. V.

机构：

[1] Lomonosov Moscow State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2016年 / 52卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

STABILITY;

D O I：

10.1134/S0012266116080139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the state stabilization problem for switched linear systems operating under parametric uncertainty and bounded coordinate disturbances. To solve the problem, we suggest an algorithmfor constructing a controller of variable structure on the basis of methods of simultaneous stabilization theory.

引用

页码：1072 / 1084

页数：13

共 16 条

[1]

Balandin D.V., 2007, Sintez zakonov upravleniya na osnove matrichnykh neravenstv (Synthesis of ControlLaws Based on Matrix Inequalities)

[2]

Blondel V., 1994, Simultaneous Stabilization of Linear Systems

[3]

Emel'yanov S.V., 1997, Novye tipy obratnoi svyazi. Upravlenie pri neopredelennosti (New Types ofFeedback. Control under Uncertainty)

[4]

Emel'yanov S.V., 2012, AVTOMAT TELEMEKH, P15

[5]

Emel'yanov T.V., 2007, NELINEINAYA DINAMIKA, P5

[6]

Filippov A.F., 1985, DIFFERENTSIALNYE URA

[7]

Fursov A.S., 2011, AVTOMAT TELEMEKH, P61

[8]

Fursov A.S, 2015, DIFF URAVN, V51, P1522

[9] Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].

Hespanha, JP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482

[10]

Kim D.P., 2004, TEORIYA AVTOMATICHES, V2

← 1 2 →