Observers for Descriptor Systems with Slope-restricted Nonlinearities  

作　　者：Lin-Na Zhou Chun-Yu Yang Qing-Ling Zhang 

机构地区：[1]School of Business Administration, Northeastern University, Shenyang 110004, PRC [2]Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, PRC [3]Institute of Systems Science, Northeastern University, Shenyang 110004, PRC

出　　处：《International Journal of Automation and computing》2010年第4期472-478,共7页国际自动化与计算杂志（英文版）

基　　金：supported by National Basic Research Program of China (973 Program) (No. 2009CB320601);National Natural Science Foundation of China (No. 60904009);Fundamental Research Funds for the Central Universities (No. 100406010, No. 090408001)

摘　　要：This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear matrix inequality （LMI） condition is derived to construct the full-order observer. The existence and uniqueness of the solution to the obtained observer system are guaranteed. Furthermore, under the same LMI condition and a common assumption, a reduced-order observer is designed. Finally, the design methods are reduced to a strict LMI problem and illustrated by a numerical example.This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear matrix inequality （LMI） condition is derived to construct the full-order observer. The existence and uniqueness of the solution to the obtained observer system are guaranteed. Furthermore, under the same LMI condition and a common assumption, a reduced-order observer is designed. Finally, the design methods are reduced to a strict LMI problem and illustrated by a numerical example.

关 键 词：Descriptor systems slope-restricted nonlinearities OBSERVER linear matrix inequality （LMI） 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] TM343[自动化与计算机技术—控制科学与工程]