scholarly journals Nonlinear Takagi-Sugeno Fuzzy Observer Design for a Ball and Beam System

2021 ◽  
Vol 54 (4) ◽  
pp. 201-205
Author(s):  
Weiwei Zhang ◽  
Lijuan Bai ◽  
Shanshan Zhang ◽  
Juntao Pan
Keyword(s):  
Observer Design ◽  
Fuzzy Observer ◽  
Beam System ◽  
Takagi Sugeno ◽  
Ball And Beam System

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

On the Linear Control of Underactuated Nonlinear Systems Via Tangent Flatness and Active Disturbance Rejection Control: The Case of the Ball and Beam System

2016 ◽  
Vol 138 (10) ◽  
Author(s):  
Mario Ramírez-Neria ◽  
Hebertt Sira-Ramírez ◽  
Rubén Garrido-Moctezuma ◽  
Alberto Luviano-Juárez
Keyword(s):  
Equilibrium Point ◽  
Trajectory Tracking ◽  
Disturbance Rejection ◽  
Observer Design ◽  
Active Disturbance Rejection Control ◽  
Tracking Tasks ◽  
Active Disturbance Rejection ◽  
Beam System ◽  
Disturbance Rejection Control ◽  
Ball And Beam System

In this paper, a systematic procedure for controller design is proposed for a class of nonlinear underactuated systems (UAS), which are non-feedback linearizable but exhibit a controllable (flat) tangent linearization around an equilibrium point. Linear extended state observer (LESO)-based active disturbance rejection control (ADRC) is shown to allow for trajectory tracking tasks involving significantly far excursions from the equilibrium point. This is due to local approximate estimation and compensation of the nonlinearities neglected by the linearization process. The approach is typically robust with respect to other endogenous and exogenous uncertainties and disturbances. The flatness of the tangent model provides a unique structural property that results in an advantageous low-order cascade decomposition of the LESO design, vastly improving the attenuation of noisy and peaking components found in the traditional full order, high gain, observer design. The popular ball and beam system (BBS) is taken as an application example. Experimental results show the effectiveness of the proposed approach in stabilization, as well as in perturbed trajectory tracking tasks.

scholarly journals Observer Design for a Class of Nonlinear Descriptor Systems: A Takagi-Sugeno Approach with Unmeasurable Premise Variables

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
J. Soulami ◽  
A. El Assoudi ◽  
M. Essabre ◽  
M. Habibi ◽  
E. El Yaagoubi
Keyword(s):  
Differential Equations ◽  
State Estimation ◽  
Ordinary Differential Equations ◽  
Differential Algebraic Equations ◽  
The State ◽  
Lyapunov Theory ◽  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Takagi Sugeno

The Takagi-Sugeno (T-S) fuzzy observer for dynamical systems described by ordinary differential equations is widely discussed in the literature. The aim of this paper is to extend this observer design to a class of T-S descriptor systems with unmeasurable premise variables. In practice, the computation of solutions of differential-algebraic equations requires the combination of an ordinary differential equations (ODE) routine together with an optimization algorithm. Therefore, a natural way permitting to estimate the state of such a system is to design a procedure based on a similar numerical algorithm. Beside some numerical difficulties, the drawback of such a method lies in the fact that it is not easy to establish a rigorous proof of the convergence of the observer. The main result of this paper consists in showing that the state estimation problem for a class of T-S descriptor systems can be achieved by using a fuzzy observer having only an ODE structure. The convergence of the state estimation error is studied using the Lyapunov theory and the stability conditions are given in terms of linear matrix inequalities (LMIs). Finally, an application to a model of a heat exchanger pilot process is given to illustrate the performance of the proposed observer.

scholarly journals Development of Fuzzy Observer Gain Design Algorithm for Ship Path Estimation Based on AIS Data

Processes ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 33
Author(s):  
Chin-Lin Pen ◽  
Wen-Jer Chang ◽  
Yann-Horng Lin
Keyword(s):  
Dynamic Systems ◽  
Design Method ◽  
Fuzzy Model ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Automatic Identification ◽  
Identification System ◽  
Design Algorithm ◽  
Fuzzy Observer ◽  
Takagi Sugeno

This paper develops a Takagi-Sugeno fuzzy observer gain design algorithm to estimate ship motion based on Automatic Identification System (AIS) data. Nowadays, AIS data is widely applied in the maritime field. To solve the problem of safety, it is necessary to accurately estimate the trajectory of ships. Firstly, a nonlinear ship dynamic system is considered to represent the dynamic behaviors of ships. In the literature, nonlinear observer design methods have been studied to estimate the ship path based on AIS data. However, the nonlinear observer design method is challenging to create directly since some dynamic ship systems are more complex. This paper represents nonlinear ship dynamic systems by the Takagi-Sugeno fuzzy model. Based on the Takagi-Sugeno fuzzy model, a fuzzy observer design method is developed to solve the problem of estimating using AIS data. Moreover, the observer gains of the fuzzy observer can be adjusted systemically by a novel algorithm. Via the proposed algorithm, a more suitable or better observer can be obtained to achieve the objectives of estimation. Corresponding to different AIS data, the better results can also be obtained individually. Finally, the simulation results are presented to show the effectiveness and applicability of the proposed fuzzy observer design method. Some comparisons with the previous nonlinear observer design method are also given in the simulations.

An explicit fuzzy observer design for a class of Takagi-Sugeno descriptor systems

2014 ◽  
Vol 7 ◽  
pp. 1565-1578
Author(s):  
Ilham Hmaiddouch ◽  
Boutayna Bentahra ◽  
Abdellatif El Assoudi ◽  
Jalal Soulami ◽  
El Hassane El Yaagoubi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Takagi Sugeno

Fuzzy observer design for a class of Takagi-Sugeno descriptor systems

2014 ◽  
Vol 7 ◽  
pp. 149-164 ◽  
Author(s):  
Mohamed Essabre ◽  
Jalal Soulami ◽  
Abdellatif El Assoudi ◽  
El Hassane El Yaagoubi ◽  
El Mahfoud El Bouatmani
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Takagi Sugeno

scholarly journals Fuzzy Observer Design for Fault Estimation for Discrete-time Takagi-Sugeno Singular Models with Unmeasurable Premise Variables

2021 ◽  
Vol 14 (4) ◽  
pp. 514-523
Author(s):  
Kaoutar Ouarid ◽  
◽  
Abdellatif Assoudi ◽  
Mohamed Essabre ◽  
El Yaagoubi ◽  
...  
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Fault Estimation ◽  
Fuzzy Observer ◽  
Takagi Sugeno

scholarly journals LMI based fuzzy observer design for Takagi-Sugeno models containing vestigial nonlinear terms

2014 ◽  
Vol 24 (1) ◽  
pp. 39-52 ◽  
Author(s):  
Dušan Krokavec ◽  
Anna Filasová
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Observer Design ◽  
System Model ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Fuzzy Observer ◽  
Quadratic Inequalities ◽  
Lyapunov Stability Criterion ◽  
Takagi Sugeno

Abstract The paper deals with the problem of full order fuzzy observer design for the class of continuous-time nonlinear systems, represented by Takagi-Sugeno models containing vestigial nonlinear terms. On the basis of the Lyapunov stability criterion and the incremental quadratic inequalities, two design conditions for this kind of system model are outlined in the terms of linear matrix inequalities. A numerical example is given to illustrate the procedure and to validate the performances of the proposed approach.

Sign in / Sign up

Export Citation Format

Share Document