Interval estimation for LPV systems applying high order sliding mode techniques

被引：183

作者：

Efimov, Denis ^{[1
]}

Fridman, Leonid ^{[2
]}

Raissi, Tarek ^{[3
]}

Zolghadri, Ali ^{[4
]}

Seydou, Ramatou ^{[4
]}

机构：

[1] Non A Project INRIA LNE, F-59650 Villeneuve Dascq, France

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

[3] CNAM, F-75141 Paris, France

[4] Univ Bordeaux, IMS Lab, Automat Control Grp, F-33405 Talence, France

来源：

AUTOMATICA | 2012年 / 48卷 / 09期

关键词：

Interval observers; Sliding-mode; Linear Parameter-Varying System; STATE ESTIMATION; DIFFERENTIATION; OBSERVER; DESIGN;

D O I：

10.1016/j.automatica.2012.06.073

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 design of interval observers for Linear Parameter-Varying (LPV) systems, containing non-detectable or non-strongly-observable parts, is addressed. Firstly, a High Order Sliding Mode (HOSM) method is applied to the strongly observable subsystem, obtained by an appropriate change of coordinates, to estimate the state and its derivative. Secondly, this information is used to decrease the level of uncertainty in the rest of the system, which leads to improvement of accuracy of the set-membership estimates generated by an interval observer. Moreover, it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods. The efficiency of the proposed approach is demonstrated through simulation examples. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2365 / 2371

页数：7

共 30 条

[1]

[Anonymous], 1997, THESIS U CALIFORNIA

[2]

[Anonymous], 2002, Sliding Mode Control in Engineering

[3] An observation algorithm for nonlinear systems with unknown inputs [J].

Barbot, Jean-Pierre ;

Boutat, Driss ;

Floquet, Thierry .

AUTOMATICA, 2009, 45 (08) :1970-1974

[4]

Bartolini G, 2008, LECT NOTES CONTR INF, V375, P3, DOI 10.1007/978-3-540-79016-7_1

[5] Closed loop observers bundle for uncertain biotechnological models [J].

Bernard, O ;

Gouzé, JL .

JOURNAL OF PROCESS CONTROL, 2004, 14 (07) :765-774

[6]

Besancon G, 2007, LECT NOTES CONTR INF, V363, P1

[7]

Edwards C, 1998, Sliding mode control: theory and applications

[8] Actuator fault detection and compensation under feedback control [J].

Efimov, D. ;

Zolghadri, A. ;

Raissi, T. .

AUTOMATICA, 2011, 47 (08) :1699-1705

[9] Global sliding-mode observer with adjusted gains for locally Lipschitz systems [J].

Efimov, D. ;

Fridman, L. .

AUTOMATICA, 2011, 47 (03) :565-570

[10]

Efimov D. V., 2011, P IEEE CDC ECC 2011

← 1 2 3 →