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.