State and unknown inputs estimation for Takagi–Sugeno systems with immeasurable premise variables: Proportional Multiple Integral observer design

2020 ◽  
Vol 167 ◽  
pp. 372-380 ◽  
Author(s):  
Lamia Ouhib
Keyword(s):  
Multiple Integral ◽  
Observer Design ◽  
Unknown Inputs ◽  
Takagi Sugeno

New Nonlinear Takagi–Sugeno Vehicle Model for State and Road Curvature Estimation via a Nonlinear PMI Observer

2014 ◽  
Vol 23 (2) ◽  
pp. 155-170
Author(s):  
Zedjiga Yacine ◽  
Dalil Ichalal ◽  
Naima Ait Oufroukh ◽  
Said Mammar ◽  
Said Djennoune
Keyword(s):  
Estimation Error ◽  
Longitudinal Velocity ◽  
Multiple Integral ◽  
Lyapunov Theory ◽  
Observer Design ◽  
Force Model ◽  
Vehicle Model ◽  
Lateral Dynamics ◽  
Bounded Error ◽  
Takagi Sugeno

AbstractThe present article deals with an observer design for nonlinear vehicle lateral dynamics. The contributions of the article concern the nonconsideration of any force model and the consideration that the longitudinal velocity is time varying, which is more realistic than the assumption that it is constant. The vehicle model is then represented by an exact Takagi–Sugeno (TS) model via the sector nonlinearity transformation. A proportional multiple integral (PMI) observer based on the TS model is designed to estimate simultaneously the state vector and the unknown input (lateral forces and road curvature). The convergence conditions of the estimation error are expressed under LMI formulation using the Lyapunov theory, which guaranties a bounded error. Simulations are carried out for comparison between the conventional PI observer, the enhanced PI observer, and the PMI observer. Finally, experimental results are provided to illustrate the performances of the proposed PMI observer.

Fuzzy observer design for a class of Takagi-Sugeno descriptor systems subject to unknown inputs

2017 ◽  
Vol 5 ◽  
pp. 117-134
Author(s):  
Karim Bouassem ◽  
Jalal Soulami ◽  
Abdellatif El Assoudi ◽  
El Hassane El Yaagoubi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Unknown Inputs ◽  
Takagi Sugeno

Multiple observer design for a non‐linear Takagi–Sugeno system submitted to unknown inputs and outputs

2013 ◽  
Vol 7 (8) ◽  
pp. 635-645 ◽  
Author(s):  
Nasreddine Bouguila ◽  
Wafa Jamel ◽  
Atef Khedher ◽  
Kamel Ben Othman
Keyword(s):  
Observer Design ◽  
Unknown Inputs ◽  
Non Linear ◽  
Multiple Observer ◽  
Takagi Sugeno ◽  
Inputs And Outputs

scholarly journals Decentralized Polynomial Observer Design for Discrete-Time Large-Scale Polynomial T-S Fuzzy System

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Seung-Hun Han ◽  
Van-Phong Vu ◽  
Manh-Son Tran
Keyword(s):  
Nonlinear System ◽  
Discrete Time ◽  
Fuzzy System ◽  
Large Scale ◽  
Observer Design ◽  
Unknown Input ◽  
New Approach ◽  
Unknown Inputs ◽  
Input Method ◽  
Takagi Sugeno

In this paper, a new approach for synthesizing a decentralized observer is proposed to estimate the unmeasurable states of a discrete-time large-scale nonlinear system. The large-scale nonlinear system in this study is modeled in terms of a set of discrete-time polynomial Takagi-Sugeno (T-S) fuzzy subsystems and interconnection terms. This modeling method will assist to reduce significantly the number of fuzzy rules. The interconnection terms are considered as the unknown inputs; then, the unknown input method is employed to design observer for this system. It should be emphasized that the interconnection parts in this paper are arbitrary and their effects are eliminated completely. On the basis of the Lyapunov methodology and SOS (Sum of Square) technique, the conditions for observer design expressed under the framework of SOS are derived in the main theorems. Finally, an illustrative example is presented to show the effectiveness and merit of the proposed method.

scholarly journals Robust Observer Design for Takagi-Sugeno Fuzzy Systems with Mixed Neutral and Discrete Delays and Unknown Inputs

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Hamid Reza Karimi ◽  
Mohammed Chadli
Keyword(s):  
Sufficient Conditions ◽  
Observer Design ◽  
Linear Matrix ◽  
Robust Observer ◽  
Unknown Inputs ◽  
Discrete Delays ◽  
Neutral Models ◽  
Intermediate Variables ◽  
Delay Dependent ◽  
Takagi Sugeno

A robust observer design is proposed for Takagi-Sugeno fuzzy neutral models with unknown inputs. The model consists of a mixed neutral and discrete delay, and the disturbances are imposed on both state and output signals. Delay-dependent sufficient conditions for the design of an unknown input T-S observer with time delays are given in terms of linear matrix inequalities. Some relaxations are introduced by using intermediate variables. A numerical example is given to illustrate the effectiveness of the given results.

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