多时滞不确定网络控制系统的稳定性分析

针对具有多个独立传感器和执行器的多输入多输出(MIMO)网络控制系统(NCSs),在考虑分布时滞和不确定性的情况下,建立了一类网络控制系统的连续时间模型.利用李雅普诺夫稳定性理论和线性矩阵不等式(LMIs)方法,分析了系统的稳定性问题,给出了基于LMIs形式与时滞相关的渐近稳定判据.通过该方法,能够分析和判定具有多时滞和不确定性网络控制系统的时滞相关稳定性.与现有的方法相比,该方法给出了保证网络控制系统稳定的更小保守性的最大允许时滞边界(MADB),而且结果更具广泛性和一般性.实例和仿真结果表明该方法保守性较小.

Stability analysis of networked control systems with multiple time-delays and uncertainties

In view of multi-input and multi-output(MIMO) networked control systems(NCSs) with many independent sensors and actuators,a continuous time model of NCSs with distributed time-delays and uncertainties is proposed.Based on Liapunov stability theory combined with linear matrix inequalities(LMIs) techniques,asymptotic stability of the system is analyzed and some delay-dependent stability criteria in terms of LMIs were derived.With the proposed methods,we are able to analyze the delay-dependent asymptotic stability of uncertain NCSs with multiple time-delays.Compared with the reported methods,the proposed methods gave a much less conservative maximum allowable delay bound(MADB) and more general results.Numerical example and simulation show that the results are less conservative.