Design of Luenberger function observer with disturbance decoupling for matrix second-order linear systems-a parametric approach

作     者：Wu Yunli Duan Guangren 

作者机构：Center for Control Theory and Guidance Technology Harbin Inst. of Technology Harbin 150001 P. R. China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2006年第17卷第1期

页      面：156-162页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(69925308) 

主　　题：matrix second-order linear systems Luenberger function observers eigenstructure assignment disturbance decoupling 

摘      要：A simple method for disturbance decoupling for matrix second-order linear systems is proposed directly in matrix second-order framework via Luenberger function observers based on complete parametric eigenstructure assignment. By introducing the H2 norm of the transfer function from disturbance to estimation error, sufficient and necessary conditions for disturbance decoupling in matrix second-order linear systems are established and are arranged into constraints on the design parameters via Luenberger function observers in terms of the closed-loop eigenvalues and the group of design parameters provided by the eigenstructure assignment approach. Therefore, the disturbance decoupling problem is converted into an eigenstructure assignment problem with extra parameter constraints. A simple example is investigated to show the effect and simplicity of the approach.