研究了一类同时存在测量数据和控制数据丢失的网络控制系统的H∞输出反馈控制问题.采用满足伯努利分布的随机变量来描述数据的随机丢失.利用矩阵不等式方法给出了动态输出反馈控制器存在的充分条件;所设计的控制器使得闭环系统在均方意义下指数稳定并具有给定的H∞性能.采用SLPMM给出了控制器的求解算法.仿真算例说明了该设计法的有效性.
The H∞ output feedback control problem for a class of networked control system with both measurement data and control data missing is considered. The random missing of data is modeled as a stochastic variable satisfying Bernoulli distribution. A sufficient condition for the existence of a'dynamic output feedback controller is presented via matrix inequalities, and the designed controller enables the closed-loop system to be exponentially mean-square stable and to guarantee a prescribed H∞ performance. The sequentially linear programming method (SLPMM) is applied to solve the matrix inequalities. A numerical example is provided to demonstrate the validity of the proposed design approach.