RT info:eu-repo/semantics/article T1 Control of Discrete 2-D Takagi–Sugeno Systems via a Sum-of-Squares Approach A1 Chaibi, Redouane A1 Hmamed, Abdelaziz A1 Tissir, El Houssaine A1 Tadeo Rico, Fernando Juan K1 Sistemas 2-D discretos K1 Discrete 2-D systems K1 Stabilization K1 Sistemas Takagi-Sugeno K1 Takagi-Sugeno systems K1 33 Ciencias Tecnológicas AB The stabilization of Takagi–Sugeno systems is solved here for the two-dimensional polynomial discrete case, by using the sum-of-squares approach. First, we provide a stabilization condition formulated in terms of polynomial multiple Lyapunov functions. Then, a non-quadratic stabilization condition is developed by applying relaxed stabilization technique. Both conditions can be used for design, by solving them using numerical tools such as SOSTOOLS. A numerical example illustrates the effectiveness of the results. PB Springer Nature Publishing AG SN 2195-3880 YR 2019 FD 2019 LK https://uvadoc.uva.es/handle/10324/46785 UL https://uvadoc.uva.es/handle/10324/46785 LA eng NO Journal of Control, Automation and Electrical Systems, vol. 30, n. 2, p. 137–147 NO Producción Científica DS UVaDOC RD 23-nov-2024