针对具有带宽约束的网络控制系统,讨论了在随机通信逻辑调度策略下系统的稳定性问题.将基于时倚泊松过程的随机通信逻辑引入系统中,建立了泊松强度与系统估计偏差之间的函数关系.利用随机点过程方法,证明了系统状态的更新时刻具有Markov特性,进而将系统转化为Markov跳变系统.利用随机稳定性理论,得到系统几乎处处稳定和均方渐近稳定的充分条件.仿真算例表明了该调度策略的有效性.
In view of the problem of bandwidth constraints in networked control systems, the stabilization of system with stochastic communication logic is studied. The stochastic communication logic is introduced based on Poisson process with time-dependent intensity, under which the function of the Poisson intensity and the estimation error is obtained. Then the update time of system state having Markov characteristic is presented. Moreover, the networked control system is modeled as a Markovian jump linear system. The sufficient condition of almost surely stability and second moment stability for the system is proposed in term of stochastic stability theory. Finally, a numerical example shows the effectiveness of the proposed design approach.