基于滑模极值搜索的SSC-LINAC RFQ调谐系统设计与测试

将滑模极值搜索算法引入基于腔体反射信号的SSC-LINAC射频四极场加速器(Radio Frequency Quadrupole, RFQ)腔体频率稳定系统设计中，结合Lyapunov稳定性理论和SSC-LINAC RFQ高频系统的特点，对滑模极值搜索算法的控制增益和参考信号进行改进；通过求解微分方程，得到腔体反射信号关于时间和调谐杆位置的函数。通过软件仿真和设计硬件系统，对基于滑模极值搜索算法的调谐过程进行仿真与实际测试，结果显示，所设计的频率稳定系统能够在较短时间内实现SSC-LINAC RFQ腔体功率自动馈入过程且频率稳定度满足设计指标要求，通过了长时间稳定性试验。证明了将滑模极值搜索算法应用于高频谐振腔调谐工作的可行性。

Design and Testing of SSC-LINAC RFQ Tuning System Based on Extremum Seeking Algorithm with Sliding Mode

Extremum seeking algorithm with sliding mode is presented for design of automatic tuning control system of SSC-LINAC RFQ(Radio Frequency Quadrupole) based on the cavity reflected signal. Combined with the Lyapunov stability theory and the characteristics of SSC-LINAC RFQ radio frequency system, the control gain and reference signal of the sliding mode algorithm are improved. By solving the differential equation, the functions of the cavity reflected signal with respect to time and the position of the tuning rod are obtained. Through software simulation and hardware system design, the tuning process based on extremum seeking algorithm with slidig mode is simulated and tested. The results show that the designed frequency stabilization system can realize the automatic power feeding process of SSC-LINAC RFQ cavity in a short time, and the frequency stability meets the design index requirements, and has passed the long-time stability test. The feasibility of applying the extremum seeking algorithm with sliding mode to the tuning of high frequency resonator is proved.