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Modeling and analysis of networked control systems with random time delays and packet dropouts

机译:具有随机时间延迟和丢包的网络控制系统的建模和分析

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This paper investigates the modeling and analysis for a class of discrete-time networked control systems (NCSs) with the sensor-to-controller (S-C) and controller-to-actuator (C-A) random time delays and packet dropouts. The S-C and C-A random time delays and packet dropouts are modeled by three independent Markov chains, the resulting closed-loop system is described by a new Markovian jump linear system with Markov delays model. Based on Lyapunov stability theory and linear matrix inequality method, sufficient conditions of the stochastic stability and controller design method for NCSs with random time delays and packet dropouts are presented. A numerical example is given to illustrate the effectiveness of the method.
机译:本文研究了一类具有传感器到控制器(S-C)和控制器到执行器(C-A)随机时延和丢包的离散时间网络控制系统(NCS)的建模和分析。 S-C和C-A随机时间延迟和数据包丢失是由三个独立的马尔可夫链建模的,由此产生的闭环系统由具有马尔可夫延迟模型的新型马尔可夫跳跃线性系统描述。基于Lyapunov稳定性理论和线性矩阵不等式方法,给出了具有随机时滞和丢包的NCS的随机稳定性的充分条件和控制器设计方法。数值例子说明了该方法的有效性。

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