On Invertibility of an Interconnected System Composed of Two Dynamic Subsystems

In this paper, the invertibility of an interconnected system that consists of two dynamic subsystems was studied. It can be viewed as the distinguishability of the impacts of local input on the final global output, that is to say, whether the input at the local level can be recovered uniquely under...

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Bibliographic Details
Published inApplied sciences Vol. 11; no. 2; p. 596
Main Authors Zhang, Mei, Dahhou, Boutaïeb, Li, Ze-Tao
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2021
Multidisciplinary digital publishing institute (MDPI)
Subjects
Algorithms
Automatic
Automatic Control Engineering
Computer Science
Engineering Sciences
Fault diagnosis
high-level subsystem
input distinguishability
interconnected system
invertibility
low-level subsystem
Partial differential equations
Subsystems
Systems and Control
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Summary:In this paper, the invertibility of an interconnected system that consists of two dynamic subsystems was studied. It can be viewed as the distinguishability of the impacts of local input on the final global output, that is to say, whether the input at the local level can be recovered uniquely under a given output at the global level and initial state. The interconnected system constitutes two dynamic subsystems connected in a cascade manner. In order to guarantee the invertibility of the studied system, a necessary and sufficient condition was established. On the condition that both individual subsystems are invertible, the invertibility of the global system can be guaranteed. In order to recover the local input which generates a given global output, an algorithm was proposed for the studied interconnected system. Numerical examples were considered to confirm the effectiveness and robustness of the proposed algorithm.
ISSN:2076-3417
2076-3417
DOI:10.3390/app11020596