Simultaneous state and process fault estimation in linear parameter varying systems using robust quadratic parameter varying observers
Peer reviewed, Journal article
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3040613Utgivelsesdato
2020Metadata
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Originalversjon
Rotondo, D., Buciakowski, M., & Witczak, M. (2021). Simultaneous state and process fault estimation in linear parameter varying systems using robust quadratic parameter varying observers. International Journal of Robust and Nonlinear Control, 31(17), 8390-8407. 10.1002/rnc.5395Sammendrag
This article undertakes the problem of simultaneous estimation of state and
process faults in linear parameter varying systems. For this purpose, a novel
strategy that exploits recent results on the design of observers for quadratic
parameter varying systems is developed, and a complete design procedure is
described. First, it is shown that by treating the process faults as additional states
to be estimated, the arising augmented state-space model is indeed expressed
as a quadratic parameter varying system. Hence, the estimates provided by a
quadratic parameter varying observer based on the so-called linear output error
injection principle would comprise both the actual state and the process faults
estimates. Robust design conditions that minimize the effect of disturbances and
measurement noise on some linear, and possibly parameter-varying, combina-
tion of error variables are obtained using a Lyapunov-based approach. Then, it
is shown that the design problem can be reduced to a finite set of linear matrix
inequalities that can be solved using available computational tools. The final part
of the article exhibits an illustrative example, which clearly exposes the potential
applicability and performance of the developed approach.