Application of adaptive filtering algorithm to the stability problem for double crystal monochromator. Part II: Hybrid algorithms

The beam line energy of X-ray beams from synchrotron radiation sources is increasing dramatically, which puts higher demands on the stability of double crystal monochromator (DCM). In this paper, the vibration suppression performance of FxLMS-P, FxLMS-PI, and FxLMS-PID hybrid algorithms are presented under Bragg@12.66KeV and Bragg@9KeV operating conditions for the measured vibration signals of DCM at SSRF (Shanghai Synchrotron Radiation Facility). Moreover, the unknown disturbance rejection performance of FxNLMS-P, FxNLMS-PI, and FxNLMS-PID hybrid algorithms is demonstrated under Bragg@5KeV operating conditions for the measured vibration signals of DCM at SSRF. The results show that the FxLMS-P, FxLMS-PI, and FxLMS-PID hybrid algorithms provide excellent vibration suppression under Bragg@9KeV operating conditions; Conversely, the FxLMS-PID hybrid algorithm vibration suppression capability was disabled under Bragg@12KeV operating conditions. In particular, the FxLMS-based hybrid algorithm lacks vibration rejection efficiency under Bragg@5KeV operating conditions, which is perfectly solved by the FxNLMS-based hybrid algorithm.