针对具有时变时延和丢包的不确定网络控制系统,以对数量化器的形式考虑量化误差的影响,基于状态多时延模型,通过构造时滞依赖且量化误差依赖的Lyapunov-Krasovskii泛函,给出闭环系统在执行器发生失效故障时系统具有鲁棒完整性的判决准则,并通过适当的变换以求解线性矩阵不等式的方法给出控制器的设计方法.最后以仿真算例验证文中所述方法的有效性.由于模型中考虑了时延下界,同时证明过程中未进行模型变换,并引入了较多自由权矩阵,结果与时延及量化误差均相关,因此具有较少保守性.%Aimed at an uncertain network control system with time-varying delay and packet dropout, by taking into account of the influence of quantizing error in the form of logarithmic quantizer, and further by constructing a delay-dependent and quantized error-dependent Lyapunov-Krasovskii functional, a robust integrity criterion was given based on the model with multiple successive delays of state for the closed-loop system in the case that the actuator failures happening, and the design method of the controller was also given through a proper transform to solve the linear matrix inequality. Finally, the validity of this method was verified by an illustrative simulation. The simulation result would be dependent on both the time delay and quantized error and so that with less conservative behavior. This was resulted from a lower bound of the time-delay being considered in the model and meanwhile, any model transformation was not taken and more free-weighting matrices were introduced in the process of proof.
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