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- W2491689990 abstract "This paper deals with the problem of stabilization of the Roesser type polynomial discrete-time 2-D Takagi-Sugeno (T-S) fuzzy system by using the sum of squares (SOS) approach. First, we derive a stabilization conditions based on polynomial Lyapunov functions that contain quadratic Lyapunov functions as a special case. Second, a non-quadratic stabilization conditions of the polynomial fuzzy systems are also proposed to stabilize the underlying 2-D T-S fuzzy system. Both of them are represented in terms of SOS and are numerically solved via the recent developed SOSTOOLS. In addition, polynomial discrete-time 2-D T-S fuzzy system contain discrete 2-D (T-S) fuzzy system as a special case. Hence, the approach discussed in this paper is more general than that based on the existing LMI approaches to discrete 2-D T-S fuzzy system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed methods." @default.
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- W2491689990 date "2016-05-01" @default.
- W2491689990 modified "2023-10-16" @default.
- W2491689990 title "Stabilization of discrete-time 2-D T-S Fuzzy system via a sum of squares (SOS) approach" @default.
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- W2491689990 doi "https://doi.org/10.1109/icosc.2016.7507037" @default.
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