中文摘要：

为矩阵秒顺序的高顺序的不可分的观察员的一种类型线性系统经由统一参量的途径根据概括 eigenstructure 赋值被建议。通过建立二个一般 parameteric 答案到这类概括矩阵秒顺序 Sylvester 矩阵方程，二统一了完全的参量的方法因为建议观察员设计问题被论述。两个方法为观察员获得矩阵给简单完全的参量的表情。第一主要取决于一系列单个价值分解，；因此数字地简单；可靠；第二利用系统的正确因式分解，；允许要使未经决定的错误系统的特征值；经由某些优化过程寻求了。一个 spring-mass-dashpot 系统被利用说明设计过程；显示出建议途径的效果。

英文摘要：

A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the fight factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach.