Abstract
The aim of this paper is to present a new fuzzy tracking strategy for a permanent magnet synchronous machine (PMSM) by using Takagi-Sugeno models (T-S). A feedback-based fuzzy control with h-infinity tracking performance and a concept of virtual reference model are combined to develop a fuzzy tracking controller capable to track a reference signal and ensure a minimum effect of disturbance on the PMSM system. First, a T-S fuzzy model is used to represent the PMSM nonlinear system with disturbance. Next, an integral fuzzy tracking control based on the concept of virtual desired variables (VDVs) is formulated to simplify the design of the virtual reference model and the control law. Finally, based on this concept, a two-stage design procedure is developed: i) determine the VDVs from the nonlinear system output equation and generalized kinematics constraints ii) calculate the feedback controller gains by solving a set of linear matrix inequalities (LMIs). Simulation results are provided to demonstrate the validity and the effectiveness of the proposed method.
Highlights
The permanent magnet synchronous machine (PMSM) drives are widely used in industrial applications such as production tools, computer numerically controlled machines, chip mounted devices, robots and hard disk drives
The aim of this paper is to present a new fuzzy tracking strategy for a permanent magnet synchronous machine (PMSM) by using Takagi-Sugeno models (T-S)
An integral fuzzy tracking control based on the concept of virtual desired variables (VDVs) is formulated to simplify the design of the virtual reference model and the control law
Summary
The permanent magnet synchronous machine (PMSM) drives are widely used in industrial applications such as production tools, computer numerically controlled machines, chip mounted devices, robots and hard disk drives They are receiving increased attention because of their high efficiency, high power/weight and torque/inertia ratios. Desired variables has been proposed to simplify the design of the reference model and the control law Based on this concept, the tracking control problem can be converted into a stabilization problem which has been treated by several researches using Lyapunov approach [15], [16]. The objective of this work is to develop a new state feedback controller for a PMSM based on the concept of VDVs and the H∞ tracking control In this case, the proposed controller is able to drive the state of the synchronous machine to track a specific desired reference and to reject a completely unknown disturbance. Simulations are carried out on PMSM in order to verify the effectiveness of the proposed methodology
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