Fuzzy sliding mode controller for doubly fed induction motor speed control

Abstract

This paper, presents a Direct Field-Oriented Control (DFOC) of doubly fed induction motor (DFIM) with a fuzzy sliding mode controller (FSMC). Our aim is to make the speed control robust to parameter variations. The variation of motor parameters during operation degrades the performance of the controllers. The use of the nonlinear fuzzy sliding mode method provides very good performance for motor operation and robustness of the control law despite the external/internal perturbations. The chattering effects is eliminated by a particular function "sat" that presents a serious problem to applications of variable structure systems. The fuzzy sliding mode controller is designed in order to improve the control performances and to reduce the chattering phenomenon.In this technique the saturation function is replaced by a fuzzy inference system to smooth the control action. The proposed scheme gives fast dynamic response with no overshoot and zero static error. To show the validity and the effectiveness of the control method, simulation results are performed for the speed control of a doubly fed induction motor. Simulation results showed that improvement made by our approach compared to conventional sliding mode control (SMC) with the presence of variations of the parameters of the motor, in particular the face of variation of moment of inertia and disturbances of load torque. The results show that the FSMC and SMC are robust against internal and external perturbations, but the FSMC is superior to SMC in eliminating chattering phenomena and response time.

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“…Induction motor stator current is separated into magnetic fluxes and torque using field-oriented control (FOC), providing independent commands for motor torque to operate accurately. This control is a "separately excited DC motor" [7]- [9]. The main purpose of IFOC is to separate completely the direct and quadrature currents.…”

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“…The design of the control system will be demonstrated for a following nonlinear system [15]: ] T denotes the transposed vector, S is called the sliding surface. To bring the state variable to the sliding surfaces, the following two conditions have to be satised:…”

“…presents high robustness, insensitive to parameter uctuations and disturbances, but it will have highfrequency switching (chattering phenomena) near the sliding surface due to function involved. These drastic changes of input can be avoided by introducing a boundary layer with width ϵ [15]. Thus replacing sgn(σ s (x, t)) by sat(σ s (x, t)) (saturation function), in (31), we have:…”

“…From Lyapunov theorem we know that if V is negative denite, the system trajectory will be driven and attracted toward the sliding surface and remain sliding on it until the origin is reached asymptotically [15]:…”

Interval type-2 fuzzy gain-adaptive controller of a Doubly Fed Induction Machine (DFIM)

“…The vector control or field orientation control that allows a decoupling between the torque and the flux. [6][7][8] With the field orientation control (FOC) method, induction machine drives are becoming a major candidate in high-performance motion control applications, where servo quality operation is required. Fast transient response is made possible by decoupled torque and flux control.…”