关键词: 自动控制技术, 离散T-S模糊系统, 鲁棒控制, 无源性能指标, 线性矩阵不等式

Abstract: Robust stability analysis and passivity for discretetime TakagiSugeno (TS) fuzzy systems with parametric uncertainties was studied via Lyapunov stability theory. Under the assumption of norm bounted parametric uncertainty, the TS fuzzy model can approximate nonlinear uncertain systemsa at any precision. On the basis of Lyapunov stability theory, a sufficient condition on the existence of robust passive controllers was derived. With linear matrix inequality (LMI) method, robust passive controllers were designed such that for all admissible uncertainties the closedloop system is robust stable and strictly passive. The robust passive controller design was parameterized in term of LMI problem. Furthermore, a convex optimization problem with LMI cnstrains was formulated to design robust passive controllers at maximum dissipation rate. A numerical example demonstrates the effect of the proposed design method.

Key words: automatic control technology, discretetime T-S fuzzy systems, robust control, passive performance, linear matrix inequality