Robust Stability of Singularly Perturbed Systems with Nonlinear Uncertainties

被引：2

作者：

Dong Yali ^{[1
]}

Huang Zhihua ^{[1
]}

Zhang Li ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300160, Peoples R China

来源：

2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11 | 2008年

关键词：

Singularly perturbed systems; Stability; Lyapunov function; Coordinate transformation;

D O I：

10.1109/CCDC.2008.4598290

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of robust stability of singularly perturbed systems with nonlinear uncertainties is considered. Via introducing a state transformation matrix and constructing the Lyapunov function, a stability bound epsilon* of the parameter epsilon is given such that the singularly perturbed systems are asymptotically stable. A sufficient condition is presented, which guarantee that the singularly perturbed systems are asymptotically stable. An example is illustrated to show how to apply the proposed results.

引用

页码：5044 / 5048

页数：5

共 10 条

[1] ON THE STABILITY BOUNDS OF SINGULARLY PERTURBED SYSTEMS [J].

CHEN, BS ;

LIN, CL .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) :1265-1270

[2] Global exponential stabilisation for nonlinear singularly perturbed systems [J].

Chen, CC .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (04) :377-382

[3] Stability analysis for a class of uncertain discrete singularly perturbed systems with multiple time delays [J].

Chen, CF ;

Pan, ST ;

Hsieh, JG .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2002, 124 (03) :467-472

[4] Robust composite control for singularly perturbed systems with time-varying uncertainties [J].

Chen, YH ;

Chen, JS .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1995, 117 (04) :445-452

[5]

Khalil H. K., 1992, NONLINEAR SYSTEMS

[6] A GEOMETRIC APPROACH TO NONLINEAR SINGULARLY PERTURBED CONTROL-SYSTEMS [J].

MARINO, R ;

KOKOTOVIC, PV .

AUTOMATICA, 1988, 24 (01) :31-41

[7] Stability analysis for a class of singularly perturbed systems with multiple time delays [J].

Pan, ST ;

Chen, CF ;

Hsieh, JG .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2004, 126 (03) :462-466

[8] STABILITY BOUNDS OF SINGULARITY PERTURBED SYSTEMS [J].

SEN, S ;

DATTA, KB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (02) :302-304

[9] EXACT DESIGN MANIFOLD CONTROL OF A CLASS OF NONLINEAR SINGULARLY PERTURBED SYSTEMS [J].

SHARKEY, PM ;

OREILLY, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (10) :933-935

[10] Robust stability of singularly perturbed state feedback systems using unified approach [J].

Singh, H ;

Brown, RH ;

Naidu, DS ;

Heinen, JA .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (05) :391-396

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