Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/205149 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.ins.2020.07.020 http://hdl.handle.net/11449/205149 |
| Access Level: | acceso abierto |
| Palabra clave: | Domain of attraction estimates Finite polytopic representation Linear matrix inequalities Switched fuzzy Lyapunov functions Takagi–Sugeno systems |
| Sumario: | In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions. |
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