Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Low-order control design for LMI problems using alternating projection methods
Automatica (Journal of IFAC)
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Analysis and design of fuzzy controller and fuzzy observer
IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
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The paper deals with the stability analysis of the discrete Takagi-Sugeno's (T-S) fuzzy model, which can describe a class of nonlinear systems. Based on the alternating projection method, the useful projection operators are derived firstly. And we thus proposed an efficient analysis algorithm for analyzing the stability. The effectiveness of the proposed method is illustrated by the numerical examples.