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http://dx.doi.org/10.5302/J.ICROS.2002.8.11.941

Construction of T-S Fuzzy Model for Nonlinear Systems  

정은태 (창원대학교 제어계측공학과)
권성하 (창원대학교 제어계측공학과)
이갑래 (평택대학교 정보과학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.8, no.11, 2002 , pp. 941-947 More about this Journal
Abstract
Two methods of constructing T-S fuzzy model which is equivalent to a given nonlinear system are presented. The first method is to obtain an equivalent T-S fuzzy model by using the sum of linearly independent scalar functions with constant real matrix coefficients. The sum of products of linearly independent scalar functions is used in the second method. The former method is to formulate the procedures of T-S fuzzy modeling dealt in many examples of previous publications; the latter is a new method. By comparing the number of linearly independent functions used in the two methods, we can easily find out which method makes fewer rules than the other. The nonlinear dynamics of an inverted Pendulum on a cart is used as an equivalent T-5 fuzzy modeling example.
Keywords
nonlinear system; T-S fuzzy model; linear independence;
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