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论文类型：期刊论文

发表时间：2010-02-01

发表刊物：INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS

收录刊物：EI、SCIE

卷号：8

期号：1

页面范围：118-126

ISSN号：1598-6446

关键字：Homogeneous polynomially basis-dependent matrix function; robust control; linear matrix inequality; non-quadratic Lyapunov function; Takagi-Sugeno's fuzzy model

摘要：This paper studies the problem of robust H-infinity control for discrete-time nonlinear systems presented as Takagi-Sugeno's Fuzzy models. The generalized non-parallel distributed compensation (non-PDC) law and non-quadratic Lyapunov function is constructed by the proposed homogeneouspolynomially basis-dependent matrix function (HPB-MF for abbreviation). Based on the generalized non-PDC law and non-quadratic Lyapunov function, some linear matrix inequalities (LMIs) are obtained by exploiting the possible combinations of the basis functions. These LMIs ensure the asymptotic stability of the closed-loop system and guarantee a norm bound constraint on disturbance attenuation. In addition, it is shown that the LMIs become less conservative as the degree of HPB-MF increases. The merit of the methods presented in this paper lies in their less conservatism than other methods, as shown by a numerical example borrowed from the literature.