不确定时延网络控制系统的建模与稳定性研究

Research on Modeling and Stability for Networked Control Systems with Uncertain Time Delay

针对网络控制系统(NCS)中存在的不确定性长时延问题,讨论和分析了系统的建模和稳定性问题。假设网络控制系统的传感器采用时间驱动,执行器与控制器采用事件驱动,传感器的数据采用单包传输,网络控制系统可建模为一类线性离散时延系统。根据Lyapunov稳定性理论,给出了闭环系统渐近稳定的充分条件,并基于相应的线性矩阵不等式(LMI)可行解,求解出状态反馈控制律。仿真结果说明了此方法的有效性。

Considering the uncertain long time-delay of networked control systems （ NCS ）, the problems of modeling and stability of NCS are discussed and analyzed. If the sensor node of NCS is time-driven, the actuator and the controller are event-driven, the sampled data are lumped together into a single data packet and the NCS with uncertain long time delay is modeled as a discrete linear system with uncertain time-delay. Then based on Lyapunov stability theory, sufficient conditions of asymptotic stability of closed-loop systems are derived, and the state feedback controller is obtained based on the feasible solution of the linear matrix inequalities（ LMI ）. The simulation results verified that this method is valid for the uncertain long time-delay problem of NCS.