Premium
Actuator fault estimation observer design for discrete‐time linear parameter‐varying descriptor systems
Author(s) -
Wang Zhenhua,
Rodrigues Mickael,
Theilliol Didier,
Shen Yi
Publication year - 2015
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2469
Subject(s) - control theory (sociology) , observer (physics) , actuator , linear matrix inequality , discrete time and continuous time , computer science , fault detection and isolation , fault (geology) , mathematics , mathematical optimization , control (management) , artificial intelligence , statistics , physics , quantum mechanics , seismology , geology
Summary This paper deals with actuator fault estimation for a class of discrete‐time linear parameter‐varying descriptor systems. By considering the fault as an auxiliary state vector, an augmented system is established. Then, a fault estimation observer is designed based on the augmented system. In this paper, the fault estimation observer design is formulated as a linear matrix inequality (LMI) feasibility problem. Therefore, all parameters of the observer can be simultaneously designed by solving a set of strict LMIs. In order to attenuate the effect of the unknown disturbance, fault variation, and measurement noise, we further propose a robust fault estimation observer design method, which is the main contribution of this paper. Finally, performance of the proposed robust fault estimation observer is shown through the application to a truck–trailer model. Copyright © 2014 John Wiley & Sons, Ltd.