基于外延原理的混合动态系统估计器设计

Estimator Design Based on Extension Principles for Hybrid Dynamic Systems

以混合动态系统的外延原理为工具分析了估计器的可压缩性问题.给出了外延系统的估计器可以压缩成原系统估计器的充分条件.证明了满足外延原理的外延系统的任意估计器均可压缩成原系统的估计器,因此,原系统的估计器可由外延系统的估计器压缩而成,并且外延系统能取得好估计的估计器压缩后是原系统的能取得好估计的估计器.

The extension principle for hybrid dynamic systems is introduced and the contractibility of estimator is analyzed in the framework of extension principle.The sufficient condition for contractibility of estimator designed in the case when the expanded system is an extension of the original system is given.It is shown that if the extension principle is used,then any estimator designed in the expanded systems is contractible to be the original systems for implementation.Furthermore,if the estimator is designed for the expanded systems functions well,the contracted estimator can also functions well for the original system.