Circle-criterion approach to discrete-time nonlinear observer design

Automatica ◽  
2007 ◽  
Vol 43 (8) ◽  
pp. 1432-1441 ◽  
Author(s):  
Salim Ibrir
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Circle Criterion ◽  
Criterion Approach

scholarly journals A comparative study of nonlinear circle criterion based observer and H∞ observer for induction motor drive

2019 ◽  
Vol 10 (3) ◽  
pp. 1229
Author(s):  
Farid Berrezzek ◽  
Wafa Bourbia ◽  
Bachir Bensaker
Keyword(s):  
Comparative Study ◽  
Induction Motor ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Linear Matrix ◽  
Optimization Approach ◽  
Lmi Optimization ◽  
Circle Criterion ◽  
True State ◽  
The Stability

<span lang="EN-US">This paper deals with a comparative study of circle criterion based nonlinear observer<em> </em>and <em>H<sub>∞</sub></em> observer for induction motor (IM) drive. The  advantage of the circle criterion approach for nonlinear observer design is that it directly handles the nonlinearities of the system with less restriction  conditions in contrast of the other methods which attempt to eliminate them. However the <em>H<sub>∞</sub></em> observer guaranteed the stability taking into account disturbance and noise attenuation. Linear matrix inequality (LMI) optimization approach is used to compute the gains matrices for the two observers. The simulation results show the superiority of <em>H<sub>∞</sub></em> observer in the sense that it can achieve convergence to the true state, despite the nonlinearity of model and the presence of disturbance.</span>

Stochastically Resilient Observer Design for a Class of Discrete-Time Nonlinear Systems

2011 ◽  
Author(s):  
Chung Seop Jeong ◽  
Edwin E. Yaz ◽  
Yvonne I. Yaz
Keyword(s):  
Discrete Time ◽  
Estimation Error ◽  
Finite Energy ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Performance Criteria ◽  
Linear Matrix ◽  
Computational Errors ◽  
Simple Estimation ◽  
Measurement Equations

A class of discrete-time nonlinear system and measurement equations having incrementally conic nonlinearities and finite energy disturbances is considered. A linear matrix inequality based nonlinear observer design approach is presented, which guarantees the satisfaction of a variety of performance criteria ranging from simple estimation error boundedness to dissipativity in the presence of random perturbations, due possibly to computational errors or changes during operation, on the observer gain. Some simulation examples are included to illustrate the proposed design methodology.

scholarly journals Backstepping Based Nonlinear Sensorless Control of Induction Motor System

2021 ◽  
Vol 54 (3) ◽  
pp. 495-502
Author(s):  
Farid Berrezzek ◽  
Abdelhak Benheniche
Keyword(s):  
Induction Motor ◽  
Control Strategy ◽  
Sensorless Control ◽  
Nonlinear Observer ◽  
Linear Matrix ◽  
Asymptotic Convergence ◽  
Matrix Inequalities ◽  
Circle Criterion ◽  
The Stability ◽  
Criterion Approach

This work proposes a sensorless control strategy for the induction motor (IM) using a Backstepping control and a nonlinear observer based on the circle-criterion approach. The Backstepping is a powerful control strategy that deals with nonlinear higher-order systems and includes non-measurable parameters related to the (IM). The nonlinear observer approach is intended to determine these important parameters. The circle-criterion approach is employed to determine the observer gain matrices as a solution of LMI (linear matrix inequalities) that guarantee the stability conditions of the designed observer. The main objective of this method is to solve the problem of the nonlinearities of the system which ensure the global asymptotic convergence of the observed dynamics and to improve the performance of the induction motors. The efficiency and correctness of the proposed scheme are proven by several numerical simulations.

Intelligent nonlinear observer design for a class of nonlinear discrete-time flexible joint robot

2014 ◽  
Vol 8 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Mohammad Reza Rahimi Khoygani ◽  
Reza Ghasemi ◽  
Ahmad Reza Vali
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Flexible Joint
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