【摘要】 利用广义系统的传感器故障模型,研究广义系统H∞可靠性控制器的设计问题·首先,建立了广义系统传感器故障的一般模型,在此模型的基础上设计基于观测器的控制器·其次,定义了广义系统的H∞可靠性控制器·接着,用带广义约束的广义代数Riccati不等式(GARI),给出传感器正常及出现部分故障时,所设计的控制器使得闭环广义系统容许且传递函数H∞范数有界的充分条件,即存在H∞可靠性控制器的充分条件·同时,还通过对广义系统的受限等价变换,去掉了广义约束,简化了带广义约束的GARI·进而可以通过解简化后的GARI来设计H∞可靠性控制器·最后,给出一个数值例子来演示设计过程并说明此方法的有效性·更多还原

【Abstract】 Making use of sensor failure models,the design problem of H∞ reliable controller for descriptor systems were studied. Firstly,common models of sensor failure of descriptor systems were constructed. In terms of these models,controllers based on observer were designed. Secondly,the definition of H∞ reliable controllers for descriptor systems was given. Thirdly,a sufficient condition that there exist H∞ reliable controllers was obtained when all sensors were operational in order as well as when some sensors failures happen. The sufficient condition is experssed by two generalized algebraic Riccati inequilities(GARI) with generalized constraints. These H∞ reliable controllers can make that closedloop descriptor systems were admissible and H∞ performance. Meanwhile,these generalized constrains can be canceled by restricted system equivalent transformation for the descriptor systems such that these GARI with generalized constrains can be reduced. Therefore,these controllers can designed by solving reduced two GARI. Finally,a numerical example is given to illustrate the design procedures and their effectiveness.更多还原