时延离散网络系统的均方指数稳定控制

针对带有随机时延和数据包丢失的不确定离散网络系统,得到了系统的均方指数稳定控制器设计策略。通过把网络诱导时延和数据包丢失看作满足Bernoulli分布的等价时延,并结合等价时延在不同区间上的概率取值,建立了更加切合实际的网络系统数学模型,并在此基础上,结合Lyapunov稳定性理论,对网络系统的均方指数稳定性进行分析,同时给出了输出反馈鲁棒控制器设计方法。仿真算例说明了该方法的有效性。

Exponentially Mean-square Stable Control for Time Delay Discrete Networked Systems

For the uncertain discrete networked systems with stochastic time delay and data packet dropout, the exponentially mean-square stable controller design approach has been obtained in this paper. Firstly, the networked-induced delay and data packet dropout are viewed as equivalent delay which is assumed to satisfy Bernoulli distribution. Secondly, with the probability of the equivalent delay in the different intervals, the networked control systems have been modeled as a new mathematic equation. Then, with the Lyapunov stability theory, the exponentially mean-square stability has been analyzed, and the output feed robust controller design approach has been obtained. At last, a numerical example is given to demonstrate the effectiveness of the proposed design approach.