一类多延时多变量网络控制系统的建模及稳定性

Modeling and stability of a class of multiple time-delay and multi-variable NCS

针对一类多延时多变量网络控制系统(NCS),讨论其建模和稳定性问题.首先假设传感器采用时间驱动、控制器和执行器采用事件驱动,建立了系统在连续时域里的MIMO数学模型;然后根据Lyapunov稳定性原理和Razumikhin定理,构造系统的Lyapunov函数,并分析系统的渐近稳定性,进而得到了系统稳定的时延参数和稳定性条件;最后通过仿真实例验证了该类网络控制系统的稳定判据.

This paper discusses about the modeling and stability of a class of multiple time-delay and multi-variable net control system（NCS）. Firstly, by supposing that sensor nodes are time driven, and controller and actuators are event driven, an MIMO model in time domain is provided for the system. Then a Lyapunov function is built based on Lyapunov stability theory and Razumikhin theory, and its stability and the conditions of delay parameter and stability are obtained. Finally, simulation example shows the criterion about the NCS.