具有不确定时延切换广义网络系统稳定性分析

Stability Analysis for Switched Singular NCSs with Uncertain Time-Delay

研究了一类正则且无脉冲的切换广义网络控制系统的状态反馈稳定性分析问题.针对系统中的不确定传输时延,假设传感器采用时间驱动,控制器和执行器采用事件驱动,且不确定传输时延小于采样周期,切换广义网络控制系统被建模为异步动态系统,利用李雅普诺夫函数和线性矩阵不等式的方法,给出一个充分条件,得到状态反馈控制器.当反馈控制律作用于该系统时,闭环系统是稳定的.理论研究和仿真实例证实了理论结果的有效性.

The stability analysis for a class of the regular and impulsive-free switched singular NCSs （networked control systems） with uncertain time-delay was studied. Based on the following two assumptions, the switched singular NCSs were modeled as asynchronous dynamical systems. One assumption was that the sensor node is time-driven, and the controller and actuator are evendriven. The other was that the uncertain transmission delay was less than one sampling period. The stability conditions of the systems were given with the Lyapunov function and LMI method, and the desired state feedback controllers were obtained at the same time as well. When the state feedback control laws were applied to the systems, the closed-loop systems are stable. Theoretical study and a simulation example were presented, and the results indicated the effectiveness of the oror^osed method.