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Control of Discrete Fuzzy Systems: Uncertainty and Guaranteed Performance
Authors:T. S. Lee  Y. H. Chen  C.-H. Chuang
Affiliation:(1) School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia;(2) The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia;(3) School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia
Abstract:Robust control designs for a discrete Takagi and Sugeno (T-S) fuzzy model are proposed. The T-S fuzzy model contains (possibly fast) time-varying uncertainty. First, a switching-type robust control is shown to stabilize the T-S fuzzy model asymptotically. Second, a saturation-type robust control is shown to render the T-S model practically stable. In both designs, only the bound of uncertainty is needed. The effectiveness of proposed designs is analyzed rigorously and illustrated by simulations.
Keywords:fuzzy modeling  robust control  stability
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