多时滞不确定网络控制系统的时滞独立稳定判据

Delay-independent stability criteria of uncertain networked control systems with multiple time-delays

针对一类多输入多输出(MIMO)网络控制系统,在考虑多重分布时滞和不确定性的情况下,建立了该系统的连续时间数学模型.利用Lyapunov稳定性理论,结合线性矩阵不等式(LMI)方法和S-过程,给出了基于LMI形式的时滞独立渐近稳定判据.通过这些判据,能分析和判定具有多重时滞和不确定性的网络控制系统的时滞独立渐近稳定性.与已有的方法相比,该方法更加有效且求解方便.数值仿真结果表明了该方法的有效性.

For a class of multi-input and multi-output （MIMO） networked control systems （NCSs） with distributed time-delays and uncertainties, a continuous time model of the NCSs is proposed. Based on Lyapunov stability theory combined with linear matrix inequality （LMI） technique and S-procedure, some new delay-independent stability criteria are derived in terms of LMI. With these criteria, the delay-independent asymptotic stability for uncertain NCSs with multiple time-delays is analyzed. Compared with other methods, the proposed method is more effective and computationally convenient. Numerical example and simulation show the effectiveness of the proposed method.