کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
390510 | 661264 | 2011 | 10 صفحه PDF | دانلود رایگان |
In this paper, the stability of continuous-time polynomial fuzzy models by means of a polynomial generalization of fuzzy Lyapunov functions is studied. Fuzzy Lyapunov functions have been fruitfully used in the literature for local analysis of Takagi–Sugeno models, a particular class of the polynomial fuzzy ones. Based on a recent Taylor-series approach which allows a polynomial fuzzy model to exactly represent a nonlinear model in a compact set of the state space, it is shown that a refinement of the polynomial Lyapunov function so as to make it share the fuzzy structure of the model proves advantageous. Conditions thus obtained are tested via available SOS software.
► Polynomial fuzzy models stability is studied via polynomial fuzzy Lyapunov functions.
► Nonlinear models are exactly represented via a recent fuzzy Taylor-series approach.
► Takagi–Sugeno models are a particular case of fuzzy polynomial ones thus obtained.
► Polynomial fuzzy Lyapunov functions generalize stability analysis of these models.
► Conditions thus obtained are tested via available SOS software.
Journal: Fuzzy Sets and Systems - Volume 185, Issue 1, 15 December 2011, Pages 5–14