一类不确定时延和丢包的网络控制系统指数稳定性

针对控制器具有加法摄动和乘法摄动的一类不确定时延和丢包的网络控制系统,研究了指数稳定性问题。考虑了在不大于一个采样周期的情况下,对于给定的数据包丢失率,网络控制系统被建模为具有两个事件速率约束的异步动态系统,利用异步动态系统理论给出了网络控制系统指数稳定的充分条件。最后用仿真例子表明所给出的结果是有效的。

Exponential stability for a class of networked control systems with uncertain time-delay and data packet dropout

This paper focuses on the problem of exponential stability for a class of networked control systems with uncertain time-delay and data packet dropout.The controller gain to be designed is assumed to have additive and multiplicative gain variations.It is supposed that the time-delay is uncertain and not more than one sampling period.For the given data packet dropout,the networked control systems is modeled as an asynchronous dynamical system with rate constraints on two events.Based on the theory of asynchronous dynamical system,the sufficient condition of exponential stability is presented for the networked control system.Finally,a simulation example illustrates the effectiveness of the proposed approach.