具有随机时延的线性网络系统稳定性分析

Stability Analysis of Networked Linear Systems with Random Communication Delays

分析一类双向通道同时存在随机时延的线性网络控制系统(NCS)均方指数稳定问题,随机时延用Bernoulli分布描述。根据Lyapunov稳定性原理构建一个二次形函数,并以此分析闭环系统稳定的充分性判据,给出了基于线性矩阵不等式的控制器解法。最后,给出一个仿真算例对提出方法的有效性进行了验证。

This paper analyzes stability of networked linear systems（ NCS） with random communication delays in bidirectional communication channels. The random communication delay is modeled as a Bernoulli random binary distribution. Sufficient conditions for a closed-loop networked linear system are globally exponentially stable according to the Lyapunov stability theory. The observer-based controller can easily be solved with linear matrix inequality（ LMI） solvers. Effectiveness of the proposed method is verified with a numerical example.