一类非线性广义系统状态观测器的设计

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (3): 657-660,718.

一类非线性广义系统状态观测器的设计

孔庆富, 张庆灵, 杨春雨

东北大学系统科学研究所, 辽宁, 沈阳, 110004

收稿日期:2007-12-13 修回日期:2008-01-29 出版日期:2009-03-20 发布日期:2010-01-03
作者简介:孔庆富(1983- ),男,硕士研究生,主要研究方向为非线性广义系统,控制系统状态观测器设计.E-mail;kongqf2002@126.com
基金资助:
国家自然科学基金资助课题(60574011)

State observer design for a class of nonlinear descriptor systems

KONG Qing-fu, ZHANG Qing-ling, YANG Chun-yu

Inst. of Systems Science, Northeastern Univ., Shenyang 110004, China

Received:2007-12-13 Revised:2008-01-29 Online:2009-03-20 Published:2010-01-03

摘要/Abstract

摘要： 考虑了非线性广义系统的状态观测器的设计问题。利用微分中值定理将动态误差非线性广义系统转化成线性变参数广义系统。如果给定的线性矩阵不等式可解,则存在一个全维状态观测器,并可保证降维状态观测器也存在。利用李亚普诺夫函数分析了误差系统的稳定性,说明误差是指数收敛的。最后以仿真实例说明了所给出的方法是有效的,且优于现有结果。

Abstract: The design problem of observers for nonlinear descriptor systems is considered.Using the differential mean value theorem(DMVT),the nonlinear error dynamic descriptor system is transformed into a linear parameter varying(LPV) descriptor system.If the given linear matrix inequalities(LMIs) are feasible,there exists a full-order observer and the existence of a reduced-order observer can be also guaranteed.The stability of the error system is analyzed by a Lyapunov function,which shows that the errors are exponential convergent.Finally,simulation results show that the obtained method is valid and is better than existing results.

中图分类号:

TP13

孔庆富, 张庆灵, 杨春雨. 一类非线性广义系统状态观测器的设计[J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 657-660,718.

KONG Qing-fu, ZHANG Qing-ling, YANG Chun-yu. State observer design for a class of nonlinear descriptor systems[J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 657-660,718.

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