Gonzalez-German, IT.; Sala, A.; Bernal Reza, MÁ. (2019). A generalised integral polynomial Lyapunov function for nonlinear systems. Fuzzy Sets and Systems. 356:77-91. https://doi.org/10.1016/j.fss.2018.02.005
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/145555
Title:
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A generalised integral polynomial Lyapunov function for nonlinear systems
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Author:
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Gonzalez-German, Ivan Temoatzin
Sala, Antonio
Bernal Reza, Miguel Ángel
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UPV Unit:
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Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica
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Issued date:
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Abstract:
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[EN] This work generalises the line-integral Lyapunov function in (Rhee and Won, 2006) for stability analysis of continuous-time nonlinear models expressed as fuzzy systems. The referred result applied only to Takagi¿Sugeno ...[+]
[EN] This work generalises the line-integral Lyapunov function in (Rhee and Won, 2006) for stability analysis of continuous-time nonlinear models expressed as fuzzy systems. The referred result applied only to Takagi¿Sugeno representations, and required memberships to be a tensor-product of functions of a single state; these are generalised here so that membership arguments can be arbitrary polynomials of the state variables; in this way, systems for which earlier results cannot be applied are now covered. Both the modelling and the integral terms appearing in the Lyapunov functions are generalised to a fuzzy polynomial case. Illustrative examples show the advantage of the proposed method against previous literature, even in the TS case.
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Subjects:
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Line-integral Lyapunov function
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Fuzzy polynomial models
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Sum of squares
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Stability analysis
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Nonlinear systems
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Fuzzy Sets and Systems. (issn:
0165-0114
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DOI:
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10.1016/j.fss.2018.02.005
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Publisher:
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Elsevier
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Publisher version:
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https://doi.org/10.1016/j.fss.2018.02.005
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Project ID:
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CONACYT/383252
CONACYT/2017-0088
AEI/DPI2016-81002-R
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Thanks:
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The authors gratefully to the financial support of Spanish ministry of Economy and European Union, grant DPI2016-81002-R (AEI/FEDER, UE), the CONACyT/COECyT Sonora scholarship 383252, and Project ITSON-PROFAPI-CA 2017-0088.[+]
The authors gratefully to the financial support of Spanish ministry of Economy and European Union, grant DPI2016-81002-R (AEI/FEDER, UE), the CONACyT/COECyT Sonora scholarship 383252, and Project ITSON-PROFAPI-CA 2017-0088.
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Type:
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Artículo
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