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Passivity Control with sliding mode observer of induction motor

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In this paper we will present a control based on the passivity of the induction motor - the difficulty of the measurement of flux rotoric is surmounted by a sliding mode observer. A variety (surface) on which the error in estimation of the output is null (stable) is defined. There are established the conditions of sliding (calculation of the observer gains) for which all trajectories of system go towards surface (attractivity) and there remain (invariance). The synthesis of the passivity control with the estimate of flux rotoric by the means of this observer is illustrated by a simulation under Matlab-Simulink. Total stability is guaranteed and the tracking of flux and the torque is reached. Streszczenie. Zaprezentowano system sterowania silnikiem indukcyjnym przy wykorzystaniu obserwatora ślizgowego. Poszukiwane są warunki ślizgowe dla których wszystkie trajektorie są skierowane do powierzchni i pozostają niezmienne. Symulacje potwierdziły stabilność systemu. (Sterowanie ślizgowe silnikiem indukcyjnym). Keywords: induction motor, passivity control, sliding mode observer. Słowa kluczowe: silnik indukcyjny, sterowanie ślizgowe. Introduction The problem of global torque tracking and rotor flux norm regulation of induction motors perturbed by an unknown constant load torque was solved with an observer based controller in [5]. In this paper the result from that work is extended to treat the practically important case when the rotor flux norm is required to follow a time-varying reference [1] [2]. The controller design follows the passivity based approach and proceeds in two steps: First, a target closed loop dynamics compatible with the physical model of the motor that delivers the desired rotor flux and torque is designed. Second, a nonlinear dynamic output feedback controller is proposed, which ensures that this behaviour is asymptotically achieved. A proof of global tracking is given under the assumption of known motor parameters. Th[...]

Sliding mode control with a robust observer of induction motor

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The purpose of this paper is to associate a sliding mode control (SMC) with a powerful nonlinear observer robust flux for an induction motor. 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 purpose 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. Streszczenie. Celem niniejszego artykułu jest skojarzenie sterowania ślizgowego z nieliniowym obserwatorem strumienia odpowiednim dla silników indukcyjnych. Realizujemy tę strategię projektowania poprzez rozszerzenie specjalnej klasy układów nieliniowych wielu zmiennych spełniających pewne założenia prawidłowości. Przedstawiono analizę wykazująca, że ten cel jest spełniony dla niskich prędkości i nominalnym, a system nie jest wrażliwy na zakłócenia i błędy parametryczne. Jest odporny na zmiany momentu obciążenia, prędkości obrotowej i oporu wirnika. (Sterowanie ślizgowe silnikiem indukcyjnym z odpornym oberwatorem) Keywords: Sliding mode control, induction motor, nonlinear observer, rotor resistance Słowa kluczowe: sterowanie ślizgowe, silnik indukcyjny, nieliniowy obserwator. Introduction The induction motor constitutes a theoretically challenging control problem since the dynamical system is nonlinear, the electric rotor variables are not measurable, and the physical parameters are most often imprecisely known. The control of the induction motor has attracted much attention in the past few decades. Especially the speed sensorless control of induction motors (IM) has been a popular area due to its low cost and strong robustness [1], The new industrial applications necessitate flux and speed variations having high dynamic performances, good precision in permanent regime, and a high capacity of overload over th[...]

Global Stability of Backsteping Control with Robust Nonlinear Observer of Induction Motor in 􁈺􀢻, 􀢼􁈻 Frame DOI:10.15199/48.2019.01.47

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Induction motors are nonlinear, coupled, multivariable process. Nevertheless, they become more and more appealing because of their reliability, robustness and low cost or maintenance [3]. We built a globally stable nonlinear control law with real effectiveness for the adopted strategies and we describe a speed dependent observer. We based the initial strategy on backstepping control. Here we design the observer based on a nonlinear control law in order to ensure the globally stability of the process observercontroller system. The main contributions of the paper are the following: First, we propose a new observer modified for a special class of nonlinear systems applied to the induction motor [1]. Secondly, the model is nonlinear in the frame 􁈺􀟙, 􀟚􁈻 without making the FOC. Third, the demonstration of global stability (system-controller-observer). Lastly, intensive simulations in different conditions are performed to show that the general strategy proposed is very satisfied. We organize the paper as follow: we present in Section 2 the induction motor model. In Section 3, we present a nonlinear observer, an application to the induction motor, the control algorithm and the global stability proof. In Section 4, we give simulation results and comment on them with implementation in Matlab-Simulink. Modeling of the induction motor The model used is a classical induction model of Park in a frame 􁈺􀟙, 􀟚􁈻 fixed to stator, given by [1]: (1) 􀝔􁈶 􀵌 􀝂􁈺􀝔􁈻 􀵅 􀝃􀝑 with: 􀝔 􀵌 􀵣􀝅􀯦􀰈, 􀝅􀯦􀰉, 􀟮􀯥􀰈, 􀟮􀯥􀰉, 􀟗􀵧􀯍 , 􀝑 􀵌 􀵣􀝑􀯦􀰈, 􀝑􀯦􀰉􀵧􀯍 Here 􀝔 con[...]

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