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针对带有输入时滞的不确定线性时滞系统,基于适当形式的Lyapunov泛函,利用线性矩阵不等式方法讨论了时滞相关型鲁棒H∞状态反馈控制器设计问题,其中不确定性是时变未知的,满足范数有界条件,且控制器存在的充分条件由线性矩阵不等式的形式给出。给出了一个应用实例,并与已有结果进行了比较。与通常所采用的导出时滞相关型鲁棒H∞状态反馈控制器的设计方法相比,只需进行两次矩阵不等式的放大,就可得到相应的控制器设计方案。仿真结果表明:控制器设计方案具有较小的保守性。
For the uncertain linear time-delay systems with input delay and the Lyapunov functional in the appropriate form, the design problem of the delay-dependent robust H∞ state feedback controller is discussed by using the linear matrix inequality method, where the uncertainty is The uncertain conditions that satisfy the norm bounded condition and the existence of controller are given by the form of linear matrix inequality. An application example is given and compared with the existing results. Compared with the design method of the robust H∞ state feedback controller, which is usually used in the derivation of delay, the controller design can be obtained by simply doubling the matrix inequality. The simulation results show that the controller design is less conservative.