非线性时滞系统的模糊控制设计

摘要

针对一类非线性时滞系统，采用模糊T-S模型对系统进行逼近，应用平行分布补偿算法（PDC）设计了模糊状态反馈控制器，应用Lyapunov函数和线性矩阵不等式（LMIs）方法，证明了非线性时滞系统的渐进稳定性。锋法仿真验证了所提出的方法和条件的有效性。%A stabilization criterion for nonlinear systems with time-delay was proposed and proved after approximation to nonlinear systems with time-delay by T-S model was done, state feedback controller was designed based on parallel distributed compensation （PDC）. The stability of nonlinear systems was proved by using Lyapunov function theory combining with linear matrix inequalities （LMIs）. Simulation results demonstrate the effectiveness of the proposed approach and conditions.