Robust Observer Design and Fuzzy Optimization for Uncertain Dynamic Systems

To achieve the state estimation of uncertain nonlinear systems, this paper proposes a novel optimal robust observer via the fuzzy bound information of the uncertainty. A robust observer scheme is first proposed to guarantee the uniform boundedness and uniform ultimate boundedness of the state estima...

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Bibliographic Details
Published inInternational journal of fuzzy systems Vol. 21; no. 5; pp. 1511 - 1523
Main Authors Xu, Jinquan, Fang, Hao, Zeng, Fanquan, Chen, Ye-Hwa, Guo, Hong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
Springer Nature B.V
Subjects
Artificial Intelligence
Computational Intelligence
Design optimization
Dynamical systems
Engineering
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Management Science
Nonlinear systems
Operations Research
Optimization
Robustness (mathematics)
Set theory
State estimation
State observers
Uncertainty
Robustness
Stability
Dynamical systems
Observer
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Summary:To achieve the state estimation of uncertain nonlinear systems, this paper proposes a novel optimal robust observer via the fuzzy bound information of the uncertainty. A robust observer scheme is first proposed to guarantee the uniform boundedness and uniform ultimate boundedness of the state estimation system regardless of the actual value of the uncertainty. To optimize the observer gain, a fuzzy set-theoretic-based optimal approach is then proposed by utilizing the fuzzy information of the uncertainty bound. The optimization problem is completely solved in analytic form. The resulting observer is able to guarantee the robustness of the state estimation system to the uncertainty, while minimizing an optimization index related to the state estimation performance and the observer cost. The novelty of this research is a creative optimal robust observer design by blending state estimation theory, fuzzy set theory, and optimization theory into an integrated framework.
ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-019-00646-6