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研究同时包含输入时滞和状态时滞的不确定T-S模糊系统的滑模控制问题,其中非线性不确定项是未知的,并且不满足匹配条件.针对被控对象的T-S模糊模型,设计一种基于积分型切换面的滑模控制器,并利用线性矩阵不等式技术和李亚普诺夫稳定性理论,给出滑模动态渐近稳定的充分条件,设计滑模控制律使系统状态保持在切换面上.仿真结果表明,该方法能有效消除非线性不确定性和输入时滞给系统带来的影响.
A sliding mode control problem for uncertain TS fuzzy systems with both input delay and state delay is studied, in which the nonlinear uncertainties are unknown and do not satisfy the matching conditions. For the TS fuzzy model of the controlled object, a A sliding mode controller based on integral switching surfaces is proposed. The sufficient conditions for the dynamic asymptotic stability of the sliding mode are given by using the linear matrix inequalities and the Lyapunov stability theory. The sliding mode control law is designed to keep the system state on the switching plane The simulation results show that this method can effectively eliminate the influence of nonlinear uncertainty and input delay on the system.