Integral sliding-mode control for linear time-invariant implicit systems

被引：51

作者：

Castanos, Fernando ^{[1
]}

Hernandez, Debbie ^{[1
]}

Fridman, Leonid M. ^{[2
]}

机构：

[1] IPN, Ctr Invest & Estudios Avanzados, Dept Automat Control, Mexico City, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Div Ingn Elect, Fac Ingn, Dept Ingn Control & Robot, Mexico City, DF, Mexico

来源：

AUTOMATICA | 2014年 / 50卷 / 03期

关键词：

Sliding-mode control; Implicit systems; Descriptor systems; Robust stability;

D O I：

10.1016/j.automatica.2013.12.024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose an integral sliding surface for linear time-invariant implicit systems (descriptor systems). We show that, under reasonable assumptions (regularity, stabilizability) it is possible to design a stabilizing controller that compensates the matched perturbations exactly. Higher-order sliding motions are required since, for the solutions of the implicit system to be well defined, special care must be taken on the degree of smoothness of the controller and the perturbations. The algorithm is tested on a system where the perturbation enters through an algebraic equation. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：971 / 975

页数：5

共 11 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[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]

Castaños F, 2012, IEEE DECIS CONTR P, P6442, DOI 10.1109/CDC.2012.6426378

[4]

Drazenovic B., 1969, Automatica, V5, P287, DOI 10.1016/0005-1098(69)90071-5

[5] Quasi-continuous high-order sliding-mode controllers [J].

Levant, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1812-1816

[6] Adjustment of high-order sliding-mode controllers [J].

Levant, Arie ;

Michael, Alon .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (15) :1657-1672

[7] A TUTORIAL ON THE GEOMETRIC ANALYSIS OF LINEAR TIME-INVARIANT IMPLICIT SYSTEMS [J].

LEWIS, FL .

AUTOMATICA, 1992, 28 (01) :119-137

[8]

Utkin V, 1996, IEEE DECIS CONTR P, P4591, DOI 10.1109/CDC.1996.577594

[9]

Utkin V., 1999, SLIDING MODES ELECTR

[10] A GENERALIZED STATE-SPACE FOR SINGULAR SYSTEMS [J].

VERGHESE, GC ;

LEVY, BC ;

KAILATH, T .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) :811-831

← 1 2 →