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Abstract and Applied Analysis
Volume 2012, Article ID 176419, 11 pages
Research Article

Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems

1College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China

Received 15 March 2012; Accepted 4 June 2012

Academic Editor: Miroslava Růžičková

Copyright © 2012 Shuping He and Fei Liu. 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.


This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time-delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms.