不可靠通信通道Markovian跳变系统的量化分析与设计

Analysis and Design for Discrete Markovian Jump Time-Delay Systems With Unreliable Communication Channel Based on Signal Quantization

研究了具有不可靠通信通道的离散时间markovian跳变系统的量化控制问题.首先,构造离散Lyapunov函数,利用矩阵不等式的凸性以及线性矩阵不等式技术,得到具有较小保守性的稳定性条件;其次,根据线性矩阵不等式技术求解量化反馈控制器设计的增益,稳定性条件和控制器增益设计最后转换成线性矩阵不等式方程的求解,通过matlab可以很容易实现;最后通过数值例子来例证所述方法的有效性.

This paper investigates the issue of quantized controller for discrete-time markovian jump systems with unreliable communication channel. Firstly, by exploiting a discrete Lyapunov function and using the convexity property of the matrix inequality as well as Jessen inequality, new criteria are derived which are less conservative. Secondly, based on the obtained conditions, the gain of quantized controller can be easily obtained through Matlab in terms of linear matrix inequalities （LMIs）. Finally, a numerical example is provided to show the effectiveness of the proposed theoretical results.