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Asynchronous Fault Detection Observer for 2-D Markov Jump Systems | IEEE Journals & Magazine | IEEE Xplore

Asynchronous Fault Detection Observer for 2-D Markov Jump Systems


Abstract:

In this article, the problem of the asynchronous fault detection (FD) observer design is discussed for 2-D Markov jump systems (MJSs) expressed by a Roesser model. In gen...Show More

Abstract:

In this article, the problem of the asynchronous fault detection (FD) observer design is discussed for 2-D Markov jump systems (MJSs) expressed by a Roesser model. In general, the FD observer cannot work synchronously with the system, that is, the mode of the observer varies with the mode of the system in line with some conditional transitional probabilities. For dealing with this difficult point, a hidden Markov model (HMM) is employed. Then, combining the H_{\infty } attenuation index and H_{\_{}} increscent index, a multiobjective solution to the FD problem is formed. In terms of linear matrix inequality technology, sufficient conditions are gained to guarantee the existence of the asynchronous FD. Simultaneously, an asynchronous FD algorithm is generated to acquire the optimal performance indices. Finally, a numerical example concerned with the Darboux equation is demonstrated to exhibit the soundness of the developed approach.
Published in: IEEE Transactions on Cybernetics ( Volume: 52, Issue: 12, December 2022)
Page(s): 13623 - 13634
Date of Publication: 29 September 2021

ISSN Information:

PubMed ID: 34587111

Funding Agency:


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