研究了具有分布时延和扰动的网络控制系统$H_{\mathrm{\infty }}$优化控制问题. 连续系统中的网络时延必须分开讨论. 针对线性时不变被控对象,基于连续动态输出反馈控制器,
建立了同时含有连续项和离散项的混合系统模型. 用Lyapunov-Krasovskii泛函, 推导出系统可实现$\gamma$-次优$H_{\mathrm{\infty }}$镇定的充分条件. 通过引入等式约束的方法将其转化为线性矩阵不等式, 给出了系统$H_{\mathrm{\infty }}$次优控制器参数和扰动衰减度的求取方法, 并将该系统$H_{\mathrm{\infty }}$最优控制问题转化为线性目标最小化问题.
仿真算例说明了分析方法和结果是有效可行的.

$H_{\mathrm{\infty }}$ optimal control of networked control systems (NCS) with distributed delays and disturbance are studied in this paper. Delays in continuous systems must be discussed separately. Based on continuously dynamic output feedback controller, NCS with linear time-unvarying object is modeled as a hybrid system including both continuous and discrete items. The sufficient condition for $\gamma$- suboptimum $H_{\mathrm{\infty }}$ stabilization of the system is
derived by making use of Lyapunov-Krasovskii functional. The parameters of suboptimum $H_{\mathrm{\infty }}$ controller and attenuation degree of the system are proposed by solving a set of LMIs with equation constraints, and $H_{\mathrm{\infty }}$ optimal control problem is translated into a problem minimizing a linear objective. A imulation example shows that the analysis method and the results are valid and feasible.