Controle robusto multivariável do protótipo de fonte modular de corrente do Sirius

Abstract

This paper presents the design and experimental validation of a multivariable robust control strategy applied to a prototype of the Brazilian Synchrotron Light Laboratory booster current source. The source, tasked with delivering a triangular waveform current, necessitates precise tracking with an error tolerance of less than 100 parts per million, in order to precisely inject electrons into the storage ring. Characterized by a complex, high-order multi-input multi-output structure with multiple series and parallel power modules, the system complexity is addressed through a model reduction technique based on the Hankel norm. Leveraging the reduced-order plant during controller design not only simplifies the system but also results in a lower-order controller. To guarantee robust stability and performance for the full-order plant, the approximation error is reintroduced as uncertainty into the reduced-order model. The controller design employs a weighted H∞ approach. Experimental validation using a small-scale prototype confirms the effectiveness of the proposed methodology in achieving precise tracking and robust performance. Finally, the results enable the analysis of the control effort, the current error in ppm, the current-sharing balance between the parallel connection, and the comparison with classical control techniques.