随机时延网络控制系统的H∞输出反馈控制器设计

研究了一类具有随机通讯时延的网络控制系统的控制器设计问题.同时考虑了控制器和执行器之间,控制器和传感器之间这两类由于有限网络带宽而出现的随机传输时延.采用满足Bernoulli分布的二进制序列来描述数据传输的随机时延.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是均方意义下指数稳定并具有给定的H∞性能.采用SLPMM(sequentially linearprogramming matrix method)给出了控制器的求解算法.仿真算例说明该方法的有效性.

Design of H-infinity output feedback controller for networked control system with random delays

A controller design is proposed for networked control systems with two types of random communication delays. One is from the controller to the actuator, and the other is from the sensor to the controller, via a limited bandwidth communication channel. The random delays are modeled as a binary switching sequence satisfying a Bernoulli distribution. We present a sufficient condition, in the form of matrix inequalities, for the existence of a dynamic output feedback controller which makes the closed-loop system exponentially mean-square stable with a prescribed H-infinity performance. The sequentially linear programming matrix method (SLPMM) is applied to solve the matrix inequalities. A numerical example is provided to demonstrate the validity of the proposed design approach.