Decentralized Sampled-Data Fuzzy Observer Design for Nonlinear Interconnected Systems

This paper presents the decentralized sampled-data fuzzy observer design techniques for nonlinear interconnected systems, which are assumed to be composed of fuzzy subsystems and unknown interconnections. To design the decentralized fuzzy observer, the estimation error dynamics is obtained, and the...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2016-06, Vol.24 (3), p.661-674
Main Authors: Koo, Geun Bum, Park, Jin Bae, Joo, Young Hoon
Format: Article
Language:English
Subjects:
approximate discretization
Asymptotic stability
Attenuation
Decentralized
Decentralized sampled-data fuzzy observer
Design engineering
Dynamical systems
Errors
Estimation error
Fuzzy
Interconnected systems
Interconnections
Nonlinear dynamics
nonlinear interconnected systems
Nonlinear systems
Nonlinearity
Observers
Uncertain systems
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Summary:This paper presents the decentralized sampled-data fuzzy observer design techniques for nonlinear interconnected systems, which are assumed to be composed of fuzzy subsystems and unknown interconnections. To design the decentralized fuzzy observer, the estimation error dynamics is obtained, and the performance function is defined. Based on the estimation error dynamics and the performance function, the continuous-time decentralized fuzzy observer is first proposed to minimize the interconnection bound to attenuation degree ratio. In addition, the decentralized sampled-data fuzzy observers are designed by using the approximate discretization and the exact discrete-time design approaches, respectively. Each proposed observer design technique is formulated into the optimal problems with the linear matrix inequalities. Finally, several simulation examples show the validity and superiority of the proposed observer design techniques by comparing with the conventional techniques.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2015.2470564