基于时滞理论的网络控制系统稳定性分析

Stability Analysis of Networked Control Systems Based on Time-Delay Theory

针对网络控制系统中普遍存在的通讯延迟问题,首先推导了具有多个独立传感器和执行器的多输入多输出网格控制系统的连续时间模型, 然后根据时滞系统理论,给出了网络控制系统稳定的充分条件,根据此条件,可求出使网络控制系统稳定的最大允许网络延迟 (MAND).研究表明,只要网络控制系统的实际网络通讯延迟小于最大允许网络延迟,该网络控制系统就是稳定的.最后,仿真实验结果验证了所提理论的正确性.

In view of the common existing problem of communication delays in networked control systems, a continuous time model of multi-input multi-output networked control systems with many independent sensors and actuators is derived. Then a new sufficient condition for stability of networked control systems is obtained based on time-delay theory.According to the given condition, the maximum allowable network delay(MAND) that make networked control systems stable can be computed.The networked control systems are asymptotically stable on condition that the actual network co-(mmunication) delays are less than the maximum allowable network delay.The simulated experimental result shows that the proposed theory is effective.