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This study proposes a kind of H∞ fuzzy proportional–integral–derivative (PID) control synthesis method for Takagi–Sugeno (T–S) fuzzy systems. The basic idea of the presented method is to transform the fuzzy PID controller design problem into that of the fuzzy static output feedback (SOF) controller design. On the basis of an iterative linear matrix inequality algorithm, the fuzzy SOF control laws...
This paper examines the problem of static output feedback control of a T-S fuzzy system. The existence of an uncertain static output feedback control is given in terms of the solvability of bilinear matrix inequalities (BMI). An iterative algorithm based on linear matrix inequality (LMI) is developed to compute the uncertain static output feedback gain. A numerical simulation example is used to illustrate...
This paper proposes an original iterative feedback tuning (IFT) method employing genetic algorithms to develop a class of fuzzy control systems. The approach is based on using the linear case results from the original IFT method and on replacing the parameter update law by genetic algorithms. Then, these results are transferred to the fuzzy case in terms of the modal equivalence principle resulting...
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