非线性网络控制系统的稳定性分析

针对传感器为时钟驱动、执行器、控制器均为事件驱动的一类非线性网络控制系统(net-worked control systems,NCS),通过在信息接收端设置一定长度的缓存,可以将时变的网络诱导时延转化为固定时延,并且将此类NCS建模为一类具有输入输出时延的非线性时延系统.基于建立的模型,利用Lyapunov定理和Razumikhin定理给出了系统渐近稳定的充分条件,同时给出使系统保持渐近稳定的最大允许网络诱导时延.最后通过算例验证了时延小于最大允许网络时延时,NCS是稳定的.

Stability analysis of nonlinear networked control systems

Considering a class of nonlinear networked control systems with clockdriven sensor and event-driven controller and actuator,the time-vary networkinduced delay is reshaped to deterministic delay by using queuing mechanisms.Then the networked control systems(NCS) is modeled as a nonlinear delay system with input delay.In terms of the NCS model,the sufficient condition for NCS stability is given by using Lyapunov theorem and Razumikhin theorem,and also the bound of network-induced delay is given.Finally,an example validates that the NCS is stable when the delay is within the maximum allowable delay.