含有输入时滞的不确定T-S模糊系统的滑模控制

Sliding Mode Control for Uncertain T-S Fuzzy Systems with Input Delays

  • 摘要: 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.

     

    Abstract: The problem of sliding mode control for uncertain T-S (Tagaki-Sugeno) fuzzy systems with input and state delays is studied, in which the nonlinear uncertain terms are unknown, and also unmatched. On the basics of the T-S fuzzy model of the controlled object, the sliding mode controller with an integral-switching-surface is designed, the sufficient conditions for the asymptotical stability of the sliding mode dynamics are given by using linear matrix inequality technique and the Lyapunov stability theory, and the sliding mode control law is designed to make the system states remain on the switching-surface. The simulation results show that the proposed method can effectively eliminate the influence of the nonlinear uncertainties and input delay.

     

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