A state observer for nonlinear systems and its application to ball and beam system

被引：37

作者：

Jo, NH ^{[1
]}

Seo, JH ^{[1
]}

机构：

[1] Seoul Natl Univ, Sch Elect Engn, Seoul 151742, South Korea

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2000年 / 45卷 / 05期

关键词：

approximate normal form; coordinate change; nonlinear system; state observer;

D O I：

10.1109/9.855562

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, we present a state observer for single-input/single-output nonlinear systems which fail to have well defined relative degree. It is shown that there exists a local state observer for a nonlinear system if it has robust relative degree rr. The proposed observer utilizes the coordinate change which transforms a system into an approximate normal form. The proposed method is applied to a ball and beam system, and simulation results show that substantial improvement in the performance was achieved compared with other local observers.

引用

页码：968 / 973

页数：6

共 13 条

[1] FEEDBACK-CONTROL OF NONLINEAR-SYSTEMS BY EXTENDED LINEARIZATION
BAUMANN, WT
RUGH, WJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (01) : 40 - 46
[2] CANONICAL FORM OBSERVER DESIGN FOR NON-LINEAR TIME-VARIABLE SYSTEMS
BESTLE, D
ZEITZ, M
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1983, 38 (02) : 419 - 431
[3] A LUENBERGER-LIKE OBSERVER FOR NONLINEAR-SYSTEMS
CICCARELLA, G
DALLAMORA, M
GERMANI, A
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (03) : 537 - 556
[4] A SIMPLE OBSERVER FOR NONLINEAR-SYSTEMS APPLICATIONS TO BIOREACTORS
GAUTHIER, JP
HAMMOURI, H
OTHMAN, S
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) : 875 - 880
[5] New algebro-geometric conditions for the linearization by input-output injection
Glumineau, A
Moog, CH
Plestan, F
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (04) : 598 - 603
[6] NONLINEAR CONTROL VIA APPROXIMATE INPUT OUTPUT LINEARIZATION - THE BALL AND BEAM EXAMPLE
HAUSER, J
SASTRY, S
KOKOTOVIC, P
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (03) : 392 - 398
[7] NON-LINEAR OBSERVER DESIGN BY TRANSFORMATION INTO A GENERALIZED OBSERVER CANONICAL FORM
KELLER, H
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (06) : 1915 - 1930
[8] LINEARIZATION BY OUTPUT INJECTION AND NON-LINEAR OBSERVERS
KRENER, AJ
ISIDORI, A
[J]. SYSTEMS & CONTROL LETTERS, 1983, 3 (01) : 47 - 52
[9] ADAPTIVE OBSERVERS FOR SINGLE OUTPUT NONLINEAR-SYSTEMS
MARINO, R
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (09) : 1054 - 1058
[10] ON SLIDING OBSERVERS FOR NONLINEAR-SYSTEMS
SLOTINE, JJE
HEDRICK, JK
MISAWA, EA
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1987, 109 (03): : 245 - 252

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