针对网络化控制系统中出现的时变采样周期和时延现象,讨论混合鲁棒H2/H∞控制性能约束下的控制问题.先通过矩阵Jordan变换,将时变采样周期和时延的不确定性转变为系统参数的不确定性,建立离散时间凸多面体不确定系统模型；然后以线性矩阵不等式的形式,构建参数依赖Lyapunov函数,给出保证系统渐近稳定并满足混合鲁棒H2/H∞性能的动态输出反馈控制器存在的充分条件和控制器的具体参数.数值仿真结果表明所设计的控制器能够保持系统渐近稳定.%The mixed robust H2/H∞ dynamic output control was studied for networked control system (NCS) with time-varying sampling period and delay. First, by using the real Jordan form approximation, a discrete time model with parameter uncertainties lying inside a polytypic framework was proposed. Then, the sufficient condition for the existence of dynamic output feedback controller was given by constructing Lyapunov functions and presented by the linear matrix inequalities, which preserved asymptotic stability of the closed loop system. The simulation results have confirmed the validity of the design method.
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