关键词: 离散系统, 模糊控制, 线性矩阵不等式, T-S模型, 鲁棒, 镇定

Abstract: The quadratic stabilization of nonlinear discrete-time systems is studied based on T-S fuzzy model. Introducing parametric uncertainty terms into building the T-S model for nonlinear discrete-time systems with uncertainty terms, the fuzzy model may approach to the original system. Based on Lyapunov stability theory, a condition for the existence of state-feedback control laws is derived to satisfy the quadratic stabilization. A linear matrix inequality equivalent to the condition is obtained, which can easily be solved using Matlab tool box. The method proposed is verified feasible through a simulative example of truck-trailer.