Robust Tracking Control for a Permanent Magnet Synchronous Generator

Abstract

his paper presents a study of a robust con- trol strategy based on the Attractive Ellipsoid Method (AEM) to achieve trajectory tracking for a Perma- nent Magnet Synchronous Generator (PMSG). For the PMSG system, trajectory tracking control is necessary such that the maximum power point tracking can be carried out, which depends on controlling time-varying references (the generator angular speed), mainly when the generator motion is originated from a variable and intermittent energy source such as the wind. The pro- posed controller is based on the selection of the best gain matrix by numerically employing the AEM with the bilinear matrix inequality technique application.The controller guarantees that the trajectory tracking error reaches an ellipsoid of small enough size, which is de- termined in an optimized way, such that the practical stability for the tracking error is ensured. The effec- tiveness of the proposed controller is verified via simu- lations for a PMSG coupled with a three-phase rectifier, where the variables to be controlled reach the desired time-varying references, additionally a comparison is made against a classical Proportional Integral (PI) con- trol scheme and a state feedback LQR controller.