A Sliding Mode Observer for Uncertain Nonlinear Systems Based on Multiple Models Approach

This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters＇ variations of the nonlinear system. Linear matri~ inequalities （LMIs） have been established in orde...

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Bibliographic Details
Published inInternational journal of automation and computing Vol. 14; no. 2; pp. 202 - 212
Main Author Kd s Hfa edh Karim Dahech Tarak Damak
Format Journal Article
LanguageEnglish
Published Beijing Institute of Automation, Chinese Academy of Sciences 01.04.2017
Springer Nature B.V
Subjects
Automation
CAE) and Design
Computer Applications
Computer simulation
Computer-Aided Engineering (CAD
Control
Engineering
Hypotheses
Linear matrix inequalities
Mathematical models
Matrix methods
Mechatronics
Nonlinear systems
Parameter uncertainty
Research Article
Robotics
Robustness (mathematics)
State estimation
State space models
Uncertainty
不确定性
不确定非线性系统
参数变化
多模型方法
滑模观测器
状态估计
状态空间模型
线性矩阵不等式
multiple observer
Uncertain nonlinear system
multiple models approach
sliding mode observer
norm bounded uncertainty
Online AccessGet full text
ISSN1476-8186
2153-182X
1751-8520
2153-1838
DOI10.1007/s11633-016-0970-x

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Summary:This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters＇ variations of the nonlinear system. Linear matri~ inequalities （LMIs） have been established in order to ensure the stability conditions of the multiple observer which lead to determine the estimation gains. A sliding mode gain has been added in order to compensate the uncertainties. Numerical simulations through a state space model of a real process have been realized to show the robustness of the synthesized observer.
Bibliography:Uncertain nonlinear system, norm bounded uncertainty, multiple models approach, multiple observer, sliding modeobserver.
11-5350/TP
Kg s Hfa edh, Karim Dahech, Tarak Damak （1 Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering （Lab-STA） National School of Engineers of Sfax, University of Sfax, B.P. 1173, 3038, Sfax, Tunisia）
This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters＇ variations of the nonlinear system. Linear matri~ inequalities （LMIs） have been established in order to ensure the stability conditions of the multiple observer which lead to determine the estimation gains. A sliding mode gain has been added in order to compensate the uncertainties. Numerical simulations through a state space model of a real process have been realized to show the robustness of the synthesized observer.
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content type line 14
ISSN:1476-8186
2153-182X
1751-8520
2153-1838
DOI:10.1007/s11633-016-0970-x