Journal of Applied Mathematics
Volume 2012 (2012), Article ID 101353, 10 pages
http://dx.doi.org/10.1155/2012/101353
Research Article

State Estimators for Uncertain Linear Systems with Different Disturbance/Noise Using Quadratic Boundedness

Longge Zhang,1,2 Xiangjie Liu,2 and Xiaobing Kong2

1Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
2State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China

Received 28 February 2012; Revised 8 April 2012; Accepted 10 April 2012

Academic Editor: Baocang Ding

Copyright © 2012 Longge Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper designs state estimators for uncertain linear systems with polytopic description, different state disturbance, and measurement noise. Necessary and sufficient stability conditions are derived followed with the upper bounding sequences on the estimation error. All the conditions can be expressed in the form of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the approach.