针对一类具有时滞的非线性连续时间系统,基于T—S模糊模型,考虑系统的外界干扰和建模误差不存在的理想情况,并利用滑模控制理论和LMI方法,设计了滑模控制器;考虑系统的外界干扰和建模误差存在的情况,采用神经网络逼近建模误差,引入自适应控制鲁棒项,设计了自适应滑模控制器,根据Lyaponuv稳定性理论,证明了系统状态渐近稳定。仿真示例表明了所提方法的有效性。
A class of nonlinear continuous time systems based on T-S fuzzy model with time-delay is studied. It is assumed that the external disturbances and modeling errors do not exist, and a novel scheme of sliding-mode controller is designed based on the principle of sliding-mode control and LMI technique. Further, when external disturbances and modeling errors occur, using neural networks to approximate the modeling errors, an adaptive sliding-mode controller is designed with robust control tenn. Using Lyaponuv stability theory, the states of the closed-loop control system are proven to be stable. The numerical examples show the effectiveness of the