Filtering for polynomial fuzzy systems using polynomial approximated membership functions
作者： Ziran Chen , Baoyong Zhang , Qi Zhou
DOI: 10.1109/CYBER.2015.7288199
关键词: Matrix polynomial 、 Stable polynomial 、 Wilkinson's polynomial 、 Reciprocal polynomial 、 Polynomial matrix 、 Mathematical optimization 、 Applied mathematics 、 Characteristic polynomial 、 Monic polynomial 、 Polynomial 、 Mathematics
摘要: This paper investigates the filtering problem of polynomial fuzzy-model-based (PFMB) nonlinear systems. A novel fuzzy filter is designed to guarantee that error system asymptotically stable and satisfies a desired performance. Polynomial approximated membership functions obtained by Taylor series are employed for analysis. Furthermore, sufficient conditions represented as sum squares (SOS), which can be solved SOSTOOLS, based on Lyapunov function. numerical example provided demonstrate effectiveness proposed method.
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