Control of Discrete 2-D Takagi–Sugeno Systems via a Sum-of-Squares Approach

[摘要] 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.

[学科分类] 自动化工程

[关键词] Discrete 2-D systems;Sum-of-Squares (SOS);Stabilization;Takagi–Sugeno systems