Design of robust non-fragile H-infinity controllerbased on Delta operator theory  

作　　者：Ruiquan LIN Fuwen YANG Qiugang CHEN 

机构地区：[1]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou Fujian 350002, China

出　　处：《控制理论与应用（英文版）》2007年第4期404-408,共5页

基　　金：This work was supported by the National Natural Science Foundation of China(No.60474049);the Fujian Education Bureau Foundation(No.JB04217).

摘　　要：Considering that the controller parameters are of additive norm-bounded uncertainties when realized, a design method of robust non-fragile H-infinity controller for uncertain systems based on Delta operator theory is illustrated in this paper. A sufficient and necessary condition of the existence for the controller is given, which is presented in LMI forms. Finally, the designed method is used in the speed control system of a permanent magnet linear synchronous motor （PMLSM）. With the designed controller, the resulting speed closed-loop system is still stable and has the expected Hinfinity performance even if the sample period is reduced and the parameters of the controller and the controlled object are varied. The results show that the designed method is effective.Considering that the controller parameters are of additive norm-bounded uncertainties when realized, a design method of robust non-fragile H-infinity controller for uncertain systems based on Delta operator theory is illustrated in this paper. A sufficient and necessary condition of the existence for the controller is given, which is presented in LMI forms. Finally, the designed method is used in the speed control system of a permanent magnet linear synchronous motor （PMLSM）. With the designed controller, the resulting speed closed-loop system is still stable and has the expected Hinfinity performance even if the sample period is reduced and the parameters of the controller and the controlled object are varied. The results show that the designed method is effective.

关 键 词：Delta operator Non-fragile control LMI PMLSM 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]