On stability and stabilisation for uncertain stochastic systems with time-delay and actuator saturation

被引：17

作者：

Shi, Ting ^{[1
]}

Su, Hongye ^{[1
]}

Chu, Jian ^{[1
]}

机构：

[1] Zhejiang Univ, State Key Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2010年 / 41卷 / 05期

基金：

国家高技术研究发展计划(863计划);

关键词：

stochastic systems; time-delay; actuator saturation; domain of attraction; linear matrix inequality; H-INFINITY CONTROL; LMI-BASED APPROACH; LINEAR-SYSTEMS; ROBUST STABILIZATION; SUBJECT; STATE; DESIGN;

D O I：

10.1080/00207720903072282

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article concerns the stability analysis and design for uncertain stochastic systems with time-varying delays in state and actuator saturation. The parameter uncertainties belong to a convex polytopic set, and the delays are time varying. A sufficient condition is obtained in terms of a priori designed feedback matrix for determining if a given set is in inside the domain of attraction. Using the linear matrix inequality (LMI) approach, an estimate of the domain of attraction is presented. The problem of designing a state feedback controller such that the domain of attraction is enlarged is formulated through solving an optimisation problem with LMI constraints. A numerical example is given to illustrate the effectiveness of the proposed results.

引用

页码：501 / 509

页数：9

共 26 条

[1]

[Anonymous], 1992, MATH ITS APPL SOVIET

[2]

AYAD H, 2008, P INT FED AUT CONTR, P1153

[3]

Basin M, 2007, INT J INNOV COMPUT I, V3, P1309

[4] Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation [J].

Cao, YY ;

Lin, ZL ;

Shamash, Y .

SYSTEMS & CONTROL LETTERS, 2002, 46 (02) :137-151

[5] Stability analysis of linear time-delay systems subject to input saturation [J].

Cao, YY ;

Lin, ZL ;

Hu, TS .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (02) :233-240

[6] Analysis of linear systems in the presence of actuator saturation and L2-disturbances [J].

Fang, HJ ;

Lin, ZL ;

Hu, TS .

AUTOMATICA, 2004, 40 (07) :1229-1238

[7] State feedback stabilization for a class of stochastic time-delay nonlinear systems [J].

Fu, YS ;

Tian, ZH ;

Shi, SJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :282-286

[8] Comments on "An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays" [J].

Gao, HJ ;

Wang, CH ;

Zhao, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) :2073-2074

[9]

GU K., 2003, CONTROL ENGN SER BIR

[10] Discretized Lyapunov functional for uncertain systems with multiple time-delay [J].

Gu, KQ .

INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (16) :1436-1445

← 1 2 3 →