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Mathematical Problems in Engineering
Volume 2012, Article ID 471585, 21 pages
Research Article

Robust Control for Systems with Bounded-Sensor Faults

Department of Electrical Engineering, I-Shou University, Kaohsiung City 84001, Taiwan

Received 26 February 2012; Revised 4 May 2012; Accepted 15 May 2012

Academic Editor: Zhan Shu

Copyright © 2012 Chieh-Chuan Feng. 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.


In this study an observer-based novel design of robust control system with an estimate scheme of sensor states to accommodate extended bounded-sensor faults is proposed. The sensor faults are, in general, modeled as polytopic bounds in robust control framework and are usually given as a priori assumption. But, in practice, the sensors that are subject to faults are especially vulnerable to variant conditions, such as high temperature, and humidity. Thus, their faults may fall outside the presumed polytopic bounds easily. An estimate scheme of sensor states integrated into the observerbased control system captures the sensor faults outside the presumed region. The notion of quadratic stability stabilizes the overall system and guarantees a robust performance measure of an output error signal in the presence of a set of extended admissible sensor faults. A numerical example shows the effectiveness of the proposed approaches.