Robust Stabilization for a Class of Nonlinear Singularly Perturbed Systems

被引：7

作者：

Amjadifard, R. ^{[1
]}

Beheshti, M. T. H. ^{[2
]}

Yazdanpanah, M. J. ^{[3
]}

机构：

[1] Tarbiat Moallem Univ, Dept Comp Engn, Fac Engn, Tehran 1571914911, Iran

[2] Tarbiat Modares Univ, Dept Elect Engn, Fac Engn, Tehran 9413676511, Iran

[3] Univ Tehran, Control & Intelligent Proc Ctr Excellence, Sch Elect & Comp Engn, Tehran 14395515, Iran

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2011年 / 133卷 / 05期

关键词：

nonlinear systems; singular perturbation; robust performance; H-infinity control; disturbance attenuations; H-INFINITY-CONTROL; FEEDBACK;

D O I：

10.1115/1.4003383

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of disturbance attenuation with internal stability for a class of nonlinear singularly perturbed systems via nonlinear H(infinity) approach is studied. It is shown through a useful theorem that under appropriate assumptions, the problem of disturbance attenuation for the main system may be related to the problem of disturbance attenuation for the reduced-order system. This is carried out by a new approach in which we use the quasi-steady state of fast variables. Therefore, the problem of existence of a positive definite solution for the Hamilton-Jacobi-Isaacs (HJI) inequality related to the main system leads to the problem of existence of a solution of a simpler HJI inequality related to the reduced-order system. [DOI: 10.1115/1.4003383]

引用

页数：6

共 23 条

[1]

AMJADIFARD R, 2006, J ENG FACULTY FERDOW, V17

[2]

AMJADIFARD R, 2003, EUR CONTR C ECC 03 L

[3]

AMJADIFARD R, 2005, 16 IFAC WORLD C

[4]

[Anonymous], 1999, NONLINEAR CONTROL SY

[5] H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK [J].

BALL, JA ;

HELTON, JW ;

WALKER, ML .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) :546-559

[6]

Basar T., 1990, H OPTIMAL CONTROL RE

[7]

DELEON J, 1997, P IEEE INT C CONTR A

[8] State-feedback H∞ control of nonlinear singularly perturbed systems [J].

Fridman, E .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (12) :1115-1125

[9] A descriptor system approach to nonlinear singularly perturbed optimal control problem [J].

Fridman, E .

AUTOMATICA, 2001, 37 (04) :543-549

[10] Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem [J].

Fridman, E .

SYSTEMS & CONTROL LETTERS, 2000, 40 (02) :121-131

← 1 2 3 →