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论文类型：期刊论文

发表时间：2009-11-01

发表刊物：ASIAN JOURNAL OF CONTROL

收录刊物：SCIE、EI、Scopus

卷号：11

期号：6

页面范围：700-706

ISSN号：1561-8625

关键字：Takagi-Sugeno's fuzzy model; homogeneous polynomial matrix function; non-quadratic Lyapunov function; parallel distributed compensation law; linear matrix inequality

摘要：The purpose of this paper is to investigate the stability of nonlinear systems represented by a Takagi-Sugeno discrete-time fuzzy model. The homogeneous polynomial matrix function (HPMF) is developed to obtain new stabilization conditions. Applying the HPMF to the non-parallel distributed compensation (non-PDC) law and non-quadratic Lyapunov function, some new stabilization conditions are obtained by the following two means: (a) utilizing the popular idea of introducing additional variables for some fixed degree of the HPMF; and (b) increasing the degree of the HPMF. It is shown that the conditions obtained with approach (a) are less conservative than some sufficient stability conditions available in the literature to date. It is also shown that as the degree of HPMF increases the conditions obtained under (b) become less conservative. An example is provided to illustrate how the proposed approaches compare with other techniques available in the literature.