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A method to construct P-type Lyapunov function of model-based fuzzy system

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2 Author(s)
Tang Shaoxian ; Auto. Dept., Central South Univ. of Technol., Changsha, China ; Cai Zixing

In this paper, the stability problem of a model-based fuzzy system put forward by Tanake and Sugeno (1992) is discussed. By means of transforming it into a contracting problem of convexes Va, some difficulties of judging and constructing the Lyapunov function are overcome. In addition, an auxiliary method to estimate convexes is established, which contributes a lot to the research. From the research paper, two important results are derived. The first is that whether a model-based fuzzy system exists, a P-type Lyapunov function can be determined by the algorithm. The latter is that if it has a P-type Lyapunov function, one of them can be constructed by the algorithm. Furthermore, the results can also contribute to local linearization of nonlinear systems

Published in:

Intelligent Processing Systems, 1997. ICIPS '97. 1997 IEEE International Conference on  (Volume:1 )

Date of Conference:

28-31 Oct 1997