函数观测器参数化的新结果

A New Parameterization of Function Observers for Linear Systems

基于Luenberger最小阶状态观测器的设计 ,明确给出了线性时不变系统函数观测器参数化的一个新结果 ,并分析了其物理意义和状态空间解释。引入了附加稳定矩阵 ,以确保观测器的所有参数都是真稳定的。不使用现有的任何一种双互质分解 ,从而使推导过程更为简明。

A new parameterization of function observers for linear systems is developed on the basis of the design of Luenberger minimal-order state observers. The physical structure of the obtained result is also revealed. By introducing an arbitrary proper stable matrix, all parameters in these observers are ensured to be proper stable, the order of the class of the observers is full order though. Not using any known doubly coprime factorizations in the derived process of the parameterization, our proof appears to be more direct and of independence.\;