Multivariable robust control of sirius modular current source prototype

Abstract

This paper presents the design and experimental validation of a multivariable robust control strategy applied to 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 $H_{\infty }$ approach. Experimental validation using a small-scale prototype confirms the effectiveness of the proposed methodology in achieving precise tracking and robust performance.