基于谱分解的中立型时滞系统观测器  

Observer for neutral delay systems based on spectral decomposition

作　　者：郝智红[1] 胡广大[1] 李华德[1] 祝乔[1] 

机构地区：[1]北京科技大学信息工程学院

出　　处：《控制理论与应用》2009年第7期791-794,共4页Control Theory & Applications

基　　金：国家自然科学基金资助项目(10571036);北京市教育委员会重点学科共建项目(xk100080537)

摘　　要：针对线性中立型时滞系统,利用线性算子半群的谱分解理论进行观测器设计.在中立型项的范数小于一的条件下,利用谱理论并结合投影算子,将无穷维系统解的相空间分解为有限维不稳定广义特征子空间和无限维稳定子空间的直和.进而利用线性算子半群的无穷小生成元得到具有积分微分形式的观测器方程,并证明了观测器误差方程的渐近稳定性.数值实验证实了所提设计方法的有效性.The observer design for linear neutral delay systems（NDSs） is investigated based on the spectral decomposition theory of linear operator semigroup. When the norm of the neutral term is less than one, by the spectral theory and projection operator, the infinite dimensional phase space of system solutions is decomposed into the direct sum of finite dimensional unstable generalized eigensubspace and the infinite dimensional stable subspace. The observer equation in integro-differential form of the system is obtained by the infinitesimal generator of linear operator semigroup; and the asymptotic stability of proposed observer error equation is proved. An illustrative example is used to demonstrate the validity of the proposed design approach.

关 键 词：中立型时滞系统 线性算子半群 谱分解 观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]