On Disturbance Decoupled Observers for a Class of Bilinear Systems
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Published:1998-09-01
Issue:3
Volume:120
Page:371-377
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ISSN:0022-0434
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Container-title:Journal of Dynamic Systems, Measurement, and Control
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language:en
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Short-container-title:
Author:
Zasadzinski M.1, Rafaralahy H.1, Mechmeche C.1, Darouach M.1
Affiliation:
1. CRAN—ACS CNRS UPRES-A 7039, Universite´ Henri Poincare´, Nancy I, 186, rue de Lorraine, 54400 Cosnes et Romain, France
Abstract
In this paper, the class of bilinear systems subjected to unknown inputs for which there exists a disturbance decoupled observer with linear error dynamics is characterized. It is shown that the design of this kind of observer is equivalent to the design of a disturbance decoupled observer for a linear system. This result simplifies considerably the observer design compared to those proposed in the literature, and the observer existence conditions can be easily deduced. As a corollary of this result, necessary and sufficient conditions for the existence of disturbance decoupled linear observers for bilinear systems subjected to unknown inputs are derived. This approach is extended to the fault detection of bilinear systems.
Publisher
ASME International
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference20 articles.
1. Bornard, G., Couenne, N., and Celle, F., 1988, “Regularly Persistent Observers for Bilinear Systems,” Lecture Notes in Control and Information Sciences, New Trends in Nonlinear Control Theory, pp. 130–140. 2. Chang, S. K., and Hsu, P. L., 1993, “Fault Detection Observer Design for Linear Systems with Unknown Inputs,” Proceedings, 2nd European Control Conference, Groningen. 3. Darouach
M.
, ZasadzinskiM., and XuS. J., 1994, “Full-Order Observers for Linear Systems with Unknown Inputs,” IEEE Transactions on Automatic Control, Vol. 39, pp. 606–609. 4. Frank, P. M., 1993, “Advances in Observer-Based Fault Diagnosis,” Proceedings, International Conference on Fault Diagnosis, TOOLDIAG’93, Toulouse. 5. Funahashi
Y.
, 1979, “Stable State Estimator for Bilinear Systems,” International Journal of Control, Vol. 29, pp. 181–188.
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