Discrete-time modeling and input-output linearization of current-fed induction motors for torque and stator flux decoupled control

Enev, Stanislav

doi:10.2478/cait-2014-0010

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…On the other hand, in [10], [11] under a constant flux assumption, a reduced third order linear model is exactly discretized. Taylor series expansion was applied to the IM model in [12].…”

Section: Introductionmentioning

confidence: 99%

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part I: Mathematical Modeling

Rivera

2015

IEEE Trans. Ind. Electron.

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This work deals with the discrete-time modeling of induction motors by means of a variational integrator. A Lagrangian is first formulated for the induction motor where the corresponding discrete Lagrangian is derived based on the one-point quadrature rule integration method (in this case the variational integrator is known as symplectic Euler). Then, a discrete action principle is applied which guarantees the optimum path in a discrete-time setting. The forcing and dissipation are added by using the discrete Lagrange d'Alembert principle. Finally discrete-time update rules are obtained for induction motors. Then, theoretic properties as relative degree and steadystate are studied for the continuos-time, symplectic Euler and explicit Euler models. Simulations are carried on for different sampling periods where results are compared with a discretetime model obtained with the classical explicit Euler method. It is put in evidence that the symplectic Euler model approximates better the induction motor dynamics than the model obtained with classical Euler method.

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“…On the other hand, in [10], [11] under a constant flux assumption, a reduced third order linear model is exactly discretized. Taylor series expansion was applied to the IM model in [12].…”

Section: Introductionmentioning

confidence: 99%

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part I: Mathematical Modeling

Rivera

2015

IEEE Trans. Ind. Electron.

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“…With regard to the digital control of IMs [8], [9], [10], there has been a limited interest in this area. The main reason for this fact is the difficulty for obtaining a discrete-time model that can approximate with good accuracy the sampled dynamics of IMs without requiring high sampling rates.…”

mentioning

confidence: 99%

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part II: Control Design

Rivera

2015

IEEE Trans. Ind. Electron.

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In this paper, two discrete-time control schemes are presented for Induction Motors (IMs) based on the discrete-time sliding mode technique. First controller is designed using the equivalent control method. The second controller is based on a discrete-time equivalent of the super-twisting algorithm, in which the sliding mode dynamics is robustified by adding an integral action. The non measurable rotor fluxes are estimated by two observers. First observer design is based on a simple copy of the rotor flux dynamics, meanwhile the second one is based on the sliding mode technique. A simulation study is carried on for the evaluation of the closed-loop performance of the IM at different sampling periods and to compare results with other discrete-time control techniques. Also the robust performance of the closedloop IM is investigated under external and internal perturbations. The simulation study predicts that the IM when closed-loop with one of the proposed controllers still performs well at a sampling time of 1250µs, meanwhile other control strategies start to lose accuracy. Real time experiments were finally carried out where the good performance of the propose strategy is verified.

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Backstepping control for induction machine with high order sliding mode observer and unknown inputs observer: A comparative study

Guezmil

Berriri

Sakly

et al. 2014

2014 International Conference on Electrical Sciences and Technologies in Maghreb (CISTEM)

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Discrete-time modeling and input-output linearization of current-fed induction motors for torque and stator flux decoupled control

Abstract: In this paper an exact discrete-time model of the induction motor in

Cited by 3 publications

References 13 publications

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part I: Mathematical Modeling

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part I: Mathematical Modeling

Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes—Part II: Control Design

Backstepping control for induction machine with high order sliding mode observer and unknown inputs observer: A comparative study

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