一类不确定时延状态反馈网络化系统鲁棒稳定性

Robust Stability of a Class of Status Feedback Networked Control Systems with Uncertain Time-Delay

考虑控制器和执行器事件驱动、传感器时钟驱动、恒定周期采样和不大于一个采样周期的不确定时延,将有控制约束的状态反馈网络控制系统建模为含有不确定性的离散时变系统.利用Lyapunov理论和线性矩阵不等式方法,导出系统鲁棒稳定的充要条件.利用Matlab LMI工具箱求解该条件,可在判定该类系统稳定性的同时,获得系统鲁棒控制律.仿真算例说明了分析方法和稳定判据的有效性.

Taking account of the event-driven actuators/controllers, clock-driven sensors, constant sampling period and uncertain time-delay lesa than one sampling period, the state feedback networked control system with control constraints is modelled as a discrete time-variant system with uncertainty. Based on the Lyapunov theory and linear matrix inequality formulation, the sufficient and necessary conditions are derived for the delay-lndependent robust asymptotic stability of the system. By Matlab LMI toolbox to compute the stability condition, the robust asymptotic stability of the class of NCS can be determined with the robust control law of the stable system obtained. A Matlab simulation shows the effectiveness of the analysis method and stability criterion.