研究了一类具有变采样周期的网络控制系统的量化状态反馈控制问题.将从传感器到控制器的随机时延作为系统的时变采样周期,通过将具有时变采样周期、随机时延和量化器的网络控制系统建模为Markov跳变系统,利用李雅普诺夫稳定性理论和线性矩阵不等式方法给出了系统指数均方稳定的充分条件,并设计了一种量化状态反馈控制器.通过仿真算例说明了所提方法的有效性.
The quantized state feedback control problem for a class of networked control system is studied. The random delay from the sensor to the controller is regarded as the time-varying sampling period. By modeling the networked control systems with time-varying sampling period, random delay and quantization as Markov jumping system, a sufficient condition of the exponentially mean-square stabilization for the system is obtained by Lyapunov stability theory and linear matrix inequality techniques, and a quantized state feedback controller is derived. Finally an example is presented to illustrate the effectiveness of the proposed method.