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Global stability of linearizing control with a new robust nonlinear observer of the induction motor

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Chenafa M., Mansouri A., Bouhenna A., Etien E., Belaidi A., Denai M. A.
International Journal of Applied Mathematics and Computer Science
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2005
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tom 15
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nr 2
235-243
EN
This paper mainly deals with the design of an advanced control law with an observer for a special class of nonlinear systems. We design an observer with a gain as a function of speed. We study the solution to the output feedback torque and rotor flux-tracking problem for an induction motor model given in the natural frame. We propose a new robust nonlinear observer and prove the global stability of the interlaced controller-observer system. The control algorithm is studied through simulations and applied in many configurations (various set points, flux and speed profiles and torque disturbances), and is shown to be very efficient.
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Powerful nonlinear observer associated with field-oriented control of an induction motor

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Mansouri A., Chenafa M., Bouhenna A., Etien E.
International Journal of Applied Mathematics and Computer Science
|
2004
|
tom 14
|
nr 2
209-220
EN
In this paper, we associate field-oriented control with a powerful nonlinear robust flux observer for an induction motor to show the improvement made by this observer compared with the open-loop and classical estimator used in this type of control. We implement this design strategy through an extension of a special class of nonlinear multivariable systems satisfying some regularity assumptions. We show by an extensive study that this observer is completely satisfactory at low and nominal speeds and it is not sensitive to disturbances and parametric errors. It is robust to changes in load torque, rotational speed and rotor resistance. The method achieves a good performance with only one easier gain tuning obtained from an algebraic Lyapunov equation. Finally, we present results and simulations with concluding remarks on the advantages and perspectives for the observer proposed with the field-oriented control.
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Range identification for a perspective dynamic system with a single homogeneous observation

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Ma L., Chen Y., Moore K.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 1
63-72
EN
Perspective problems arise in machine vision when using a camera to observe the scene. Essential problems include the identification of unknown states and/or unknown parameters from perspective observations. Range identification is used to estimate the states/positions of a moving object with known motion parameters. Range estimation has been discussed in the literature using nonlinear observers with full homogeneous observations derived from the image plane. In this paper, the same range identification problem is discussed with a single homogeneous observation using nonlinear observers. Our simulation results verify the convergence of the observers when their observability conditions are satisfied. sm
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