D-分割技术确定磁轴承的PID参数鲁棒稳定域  

Robust stability regions of PID parameters for magnetic bearing based on D-partition technique

作　　者：杨益飞[1,2] 骆敏舟[2] 邢绍邦[1] 韩晓新[1] 李月红[1] 朱熀秋[3] 

机构地区：[1]江苏理工学院电气信息工程学院,江苏常州213001 [2]中国科学院合肥物质科学研究院,先进制造技术研究所,江苏常州213164 [3]江苏大学电气信息工程学院,江苏镇江212013

出　　处：《电机与控制学报》2015年第6期95-101,108,共8页Electric Machines and Control

基　　金：江苏省自然科学基金(BK2012707);江苏省高校自然科学研究项目(12KJJB470004);常州市科技支撑计划项目(CE20120100);江苏理工学院创新团队(20510311303);江苏理工学院教授博士专项项目(KYY13001)

摘　　要：给出仅依靠频率响应确定磁轴承的PID控制参数鲁棒稳定域的方法。根据小增益定理得到闭环系统的鲁棒稳定性条件,由此推导出加性不确定性的内部稳定H∞指标,再由边界穿越定理和D-分割技术,推导了满足H∞指标的PID控制器的鲁棒参数稳定域边界的解析表达式。在稳定域中任选PID参数,可以使得系统稳定并满足鲁棒性能约束条件。该方法降低了PID控制器参数稳定域设计的难度,对磁轴承时滞系统PID参数调节具有良好的鲁棒性。仿真和实验证明了本文方法的有效性。A method was introduced for finding all proportional integral derivation （PID） controllers that satisfy a robust performance constraint for a given transfer function of magnetic beating with time-delay by using the frequency response. The H-infinity index of additive weight uncertainty on the basis of robust- ness stability condition of closed loop system was first got by small gain theorem. Then, Based on the boundary crossing theorem, the parameter boundaries with the expected decay ratio index of PID control- ler were derived. The system can be stabilized and robustly meet the performance requirements by choo- sing PID controllers parameter in the stability region. The proposed method avoids the complexity of sta- bility regions of PID parameters, and the closed-loop system has strong robustness for magnetic bearing with time-delay system. The simulation and experiment results demonstrate the validity of this method.

关 键 词：PID控制器 磁轴承 时滞 H∞指标 稳定域 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]