Nonlinear Modelling of Induction Motor Drives for Nonlinear Sensorless Control Purposes

Bensaker, Bachir; Kherfane, Hamid; Maouche, Abdelaziz; Wamkeue, R.

doi:10.1016/s1474-6670(17)31424-6

Cited by 4 publications

(11 citation statements)

References 7 publications

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“…The induction motor observers have been mainly designed from their models in the (α, β) coordinate system connected to the stator [27]. Assuming linear magnetic circuits and a step load torque, the dynamics of the induction motor is given by the following set of state variables equations…”

Section: Problem Formulationmentioning

confidence: 99%

“…Equation (47) with the differential equations (27) to (29) which providing the parameter estimates ρ and the matrices ϒ and P constitute an adaptive observer that would achieve the considered state and parameter estimation objective. However, there are two implementation issues that hamper the simplicity as well as the efficiency of this adaptive observer because of the required inversion of the Jacobian matrix which is regular almost everywhere since the induction motor may operates in its unobservable domain.…”

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

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High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Maouche

M’Saad

Bensaker

et al. 2015

Int. J. Control Autom. Syst.

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This paper addresses the problem of accurately estimating the mechanical and magnetic state variables as well as the stator and rotor resistances of induction motors using only the stator current measurements and the supplied stator voltages from an appropriate nonlinear parametrization. The involved estimation is carried out by a high gain adaptive observer designed bearing in mind the available fundamental results together with the useful implementation features, namely conception simplicity and computational efficiency. An exponential convergence of the state and parameter estimation errors is established under admissible assumptions, namely the persistent excitation requirement has been particularly reduced thanks to the introduction of unknown parameter characteristic indices. The effectiveness of the adaptive observer is highlighted throughout simulation results involving a typical induction motor.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Maouche

M’Saad

Bensaker

et al. 2015

Int. J. Control Autom. Syst.

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show abstract

“…Relation (1) states that the nonlinear function f (z, t) is a nondecreasing function. On the other hand, if f (z, t) is a continuously differentiable function the above relation is also equivalent to the following [10,11] :…”

Section: Basic Sector Propertiesmentioning

confidence: 99%

“…Induction motor is known as a complex nonlinear system in which time-varying parameters entail additional difficulty for system control and conditions monitoring. Based on the fact that the nonlinear model of the induction motor system can be significantly simplified, if one applies the d-q Park transformation, different structures of the nonlinear model can be investigated and discussed as in [1].…”

Section: Induction Motor Nonlinear Modelmentioning

confidence: 99%

“…This is due to its high reliability, relatively low cost, and modest maintenance requirements. However, induction motor is also known as a complex nonlinear system, in which timevarying parameters entail additional difficulties for machine control, conditions monitoring and fault diagnostic purposes [1] . Furthermore, only a few state variables of the machine are available for on line measurement because of technical and/or economical constraints of the considered application.…”

Section: Introductionmentioning

confidence: 99%

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Circle-criterion Based Nonlinear Observer Design for Sensorless Induction Motor Control

Bourbia

Berrezzek

Bensaker

2014

Int. J. Autom. Comput.

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This paper deals with the design of a nonlinear observer for sensorless induction motor control. Based upon the circle criterion approach, a nonlinear observer is designed to estimate pertinent but unmeasurable state variables of the considered induction machine for sensorless control purpose. The observer gain matrices are computed as a solution of linear matrix inequalities (LMI) that ensure the stability conditions of the state observer error dynamics in the sense of Lyapunov concepts. Measured and estimated state variables can be exploited to perform a state feedback control of the machine system. The simulation results are presented to illustrate the effectiveness of the proposed approach for nonlinear observer design.

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

Berrezzek¹,

Bourbia²,

Bensaker³

2019

IJPEDS

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This paper deals with a comparative study of circle criterion based nonlinear observer and H∞ 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 H∞ 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 H∞ observer in the sense that it can achieve convergence to the true state, despite the nonlinearity of model and the presence of disturbance.

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Nonlinear Modelling of Induction Motor Drives for Nonlinear Sensorless Control Purposes

Cited by 4 publications

References 7 publications

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Circle-criterion Based Nonlinear Observer Design for Sensorless Induction Motor Control

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

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