期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 15, 期 5, 页码 956-971出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2006.890676
关键词
controller; fuzzy system; linear matrix inequality (LMI); observer; sliding mode; switching surface; uncertain nonlinear system
Based on the variable structure system theory, we develop a nonlinear fuzzy observer-controller design method for a class of uncertain nonlinear systems that can be represented by a Takagi-Sugeno fuzzy model. We use a sliding mode observer and a sliding mode controller as the local state observer and the local controller. In terms of linear matrix inequalities (LMls), we derive sufficient conditions for the existence of the fuzzy observer and the fuzzy controller. We also derive LMI conditions for the existence of the fuzzy observer and the fuzzy controller guaranteeing the alpha-stability or generalized H-2/H infinity performance constraints. We show that the observer and the controller can be independently designed, i.e., the separation property holds. Finally, we give simple LMI-based design algorithms, together with an example.
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