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广义系统H可靠性控制

广义系统H可靠性控制

ISSN:1000-8152
2005年第22卷第3期
论文
陈跃鹏[1],张庆灵[2],周祖德[3],徐天群[4] CHEN Yue-Peng[1],ZHANG Qing-ling[2],ZHOU Zu-de[3],XU Tian-qun[4]
  1. 武汉理工大学,自动化学院,湖北,武汉,430070;东北大学,理学院,系统所,辽宁,沈阳,110004
  2. 东北大学,理学院,系统所,辽宁,沈阳,110004
  3. 武汉理工大学,机电学院,湖北,武汉,430070
  4. 武汉理工大学,理学院,湖北,武汉,430063

通过对更一般形式的执行器和传感器故障模型分析,研究了广义系统基于观测器的H∞可靠性控制器设计问题.利用带有约束的广义代数Riccati不等式(GARI),给出执行器故障情况下,广义系统H∞可靠性控制器存在的充要条件和设计方法,以及传感器故障情况下,广义系统H∞可靠性控制器存在的充分条件和设计方法.所设计的H∞可靠性控制器使得闭环广义系统容许且传递函数的H∞范数有界.同时,还将带广义约束的GARI转化成了线性矩阵不等式(LMI),进而简化了广义系统H∞可靠性控制器设计方法.

By analyzing more common failure models of actuators and sensors,the observer based H-infinity reliable controller design problem for descriptor systems is studied.Using generalized algebraic Riccati inequalities(GARI)with constraints,the sufficient and necessary condition,as well as the design method that there exists H-infinity reliable controller for descriptor systems is obtained in the case of actuator failures.Meanwhile,the design method and sufficient condition where there is an (H-infinity) reliable controller for descriptor systems is obtained in the case of sensor failures.Due to the designed H-infinity reliable controllers,the resulting closed-loop descriptor systems are admissible and have H-infinity performance.Simultaneously,the GARI with constraints are transferred into linear matrix inequalities (LMI),and therefore,the design approach of H-infinity reliable controller for descriptor systems is reduced.

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ISSN:1000-8152
2005年第22卷第3期
论文

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