多输入多输出网络控制系统的绝对稳定性分析

Absolute stability analysis for the multi-input and multi-output networked control systems

考虑到网络诱导时延和网络通道的非线性反馈干扰,研究了多输入多输出网络控制系统的时滞依赖稳定性。基于各回路有界的状态反馈输入,建立闭环系统的Lurie时滞系统模型。应用Lyapunov稳定性理论和线性矩阵不等式工具,分析了各子系统在有扇形条件约束的绝对稳定性,同时得到网络控制系统全局稳定运行的最大允许时延界。最后,通过仿真例子,表明该方法是可行的。

This paper is concerned with the delay-dependent stability analysis for multi-input and multi-output （MIMO） networked control systems （NCSs） with network-induced delay and nonlinear feedback disturbance in network channels. The time-delay Lurie systems for every closed loop of the NCSs are established based on the bounded state-feedback input. Subsequently, the absolute stability criteria for the closed loop system subject to sector-bounded condition are derived by use of Lyapunov functional method and linear matrix inequality （LMI） technique. Meanwhile, the maximum allowable delay bound for steadily running of the MIMO NCSs is also obtained. Finally, an illustrative example is provided to show the advantage and feasibility of the proposed method.