Sliding Mode Control for a Class of Unmatched Uncertain Linear System

被引：1

作者：

Zhao, Zhanshan ^{[1
]}

Sun, Liankun ^{[1
]}

Zhang, Jing ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Comp Sci & Software Inst, Tianjin, Peoples R China

[2] Tianjin Vocat Inst, Tianjin, Peoples R China

来源：

EQUIPMENT MANUFACTURING TECHNOLOGY | 2012年 / 422卷

基金：

中国国家自然科学基金;

关键词：

Uncertain Linear System; Sliding mode control; Integral sliding mode manifold; Unmatched uncertainty; Self-tuning law; VARIABLE-STRUCTURE CONTROL; DESIGN;

D O I：

10.4028/www.scientific.net/AMR.422.846

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel method of designing nonlinear robust sliding mode controller is presented to a class of nonlinear unmatched uncertain systems based on integral sliding mode and self-tuning law. Firstly, the unmatched is will not be amplified by the discontinuous control. Then the controller based on integral sliding mode is constructed to ensure the robustness. The stability of proposed procedure is proven by using the Lyapunov theory and guarantees robustness against uncertainties. The upper bounds of uncertainties are not required to be known in advance. Finally, simulation studies demonstrate that the proposed controller is robust with respect to the perturbation.

引用

页码：846 / +

页数：2

共 9 条

[1] Nonlinear, integral-type sliding surface for both matched and unmatched uncertain systems [J].

Cao, WJ ;

Xu, JX .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (08) :1355-1360

[2] Analysis and design of integral sliding manifolds for systems with unmatched perturbations [J].

Castanos, Fernando ;

Fridman, Leonid .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) :853-858

[3] A new method for variable structure control system design: A linear matrix inequality approach [J].

Choi, HH .

AUTOMATICA, 1997, 33 (11) :2089-2092

[4] Second-order sliding-mode control of a mobile robot based on a harmonic potential field [J].

Ferrara, A. ;

Rubagotti, M. .

IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (09) :807-818

[5]

Fridman LM, 2002, LECT NOTES CONTR INF, V274, P391

[6] The fusion of computationally intelligent methodologies and sliding-mode control - A survey [J].

Kaynak, O ;

Erbatur, K ;

Ertugrul, M .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2001, 48 (01) :4-17

[7]

Utkin V., 1999, SLIDING MODES ELECTR

[8]

UTKIN V, 1996, P 35 IEEE C DEC CONT

[9] Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay [J].

Xing, Hailong ;

Gao, C. C. ;

Li, Donghai .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (02) :689-699

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