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针对一类带有不匹配不确定性的奇异时滞系统,建立了基于观测器状态的滑模面和滑模控制器。采用等价控制方法获得滑模运动系统,给出了其在滑模面上正则、无脉冲模、渐近稳定的充分条件。滑模面及控制器的解可通过锥补迭代算法求解矩阵不等式获得。给出了一个仿真实例验证理论的有效性。
For a class of singular systems with unmatched uncertainties, a sliding mode surface and a sliding mode controller based on observer state are established. Equivalent control method is used to obtain the sliding mode motion system. The sufficient conditions for the system to be asymptotically stable and stable on the sliding mode surface are given. The solution of sliding-mode surfaces and controllers can be obtained by solving the matrix inequality using the cone-complement iterative algorithm. A simulation example is given to demonstrate the validity of the theory.