Article ID Journal Published Year Pages File Type
390608 Fuzzy Sets and Systems 2009 20 Pages PDF
Abstract

Unlike the L2-gain (H∞) control case, the L∞-gain control problem is dealing with persistent bounded disturbances. This study introduces L∞-gain fuzzy observer-based fuzzy control design, where the premise variables depend on the state variables estimated by a fuzzy observer, for nonlinear systems via T–S fuzzy models. The fuzzy control design for this case is more flexible but much more complex than that for the case where the premise variables do not depend on the state variables estimated by a fuzzy observer. A novel decoupled method is proposed in this study to transform the non-LMI conditions into some LMI forms. By the proposed decoupled method and the genetic algorithm, the L∞-gain fuzzy observer-based fuzzy control problem can be easily solved by an LMI-based method.

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Physical Sciences and Engineering Computer Science Artificial Intelligence