How to cope with unmeasurable premise variables in Takagi-Sugeno observer design: Dynamic extension approach

被引：37

作者：

Ichalal, D. ^{[1
]}

Marx, B. ^{[2
,3
]}

Mammar, S. ^{[1
]}

Maquin, D. ^{[2
,3
]}

Ragot, J. ^{[2
,3
]}

机构：

[1] Univ Evry, Paris Saclay Univ, IBISC, 40 Rue Pelvoux,9120, Evry, Courcouronnes, France

[2] Univ Lorraine, CRAN, UMR 7039, 2 Ave Foret Haye,TSA 60604, F-54518 Vandoeuvre Les Nancy, France

[3] CRAN, CNRS, UMR 7039, Vandoeuvre Les Nancy, France

来源：

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE | 2018年 / 67卷

关键词：

Nonlinear estimation; Takagi-Sugeno systems; Immersion; NONLINEAR-SYSTEMS; STATE; IMMERSION; LINEARIZATION; MODELS;

D O I：

10.1016/j.engappai.2017.09.018

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, a new strategy to cope with unmeasurable premise variables in observer design for Takagi-Sugeno (TS) models is proposed. The guiding principles are the immersion techniques and auxiliary dynamics generation, allowing to immerge a given TS system with unmeasured state dependent weighting functions into a larger TS system with weighting functions depending only on measured variables. This result relaxes the strong conditions used in the design of observers for TS systems with unmeasurable premise variables. An example is provided to illustrate the performances of the proposed approach. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：430 / 435

页数：6

共 35 条

[1] Observers for Takagi-Sugeno fuzzy systems [J].

Bergsten, P ;

Palm, R ;

Driankov, D .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2002, 32 (01) :114-121

[2]

Bernard P., 2015, ARXIV1509

[3] On output transformations for state linearization up to output injection [J].

Besançon, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (10) :1975-1981

[4]

Besancon G., 2007, LECT NOTES CONTROL I

[5] An immersion-based observer design for rank-observable nonlinear systems [J].

Besancon, Gildas ;

Ticlea, Alexandru .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (01) :83-88

[6]

CLAUDE D, 1983, CR ACAD SCI I-MATH, V296, P237

[7] SYNCHRONIZATION OF LORENZ-BASED CHAOTIC CIRCUITS WITH APPLICATIONS TO COMMUNICATIONS [J].

CUOMO, KM ;

OPPENHEIM, AV ;

STROGATZ, SH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (10) :626-633

[8]

Gauthier JP., 2001, DETERMINISTIC OBSERV

[9] Nonquadratic Controller and Observer Design for Continuous TS Models: A Discrete-Inspired Solution [J].

Gonzalez, Temoatzin ;

Marquez, Raymundo ;

Bernal, Miguel ;

Guerra, Thierry Marie .

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2016, 18 (01) :1-14

[10] Observer design for Takagi-Sugeno descriptor models: An LMI approach [J].

Guerra, Thierry Marie ;

Estrada-Manzo, Victor ;

Lendek, Zsofia .

AUTOMATICA, 2015, 52 :154-159

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