Fault Estimation for Nonlinear Networked Systems with Time‐Varying Delay and Random Packet Dropout

In this paper, the fault estimation problem is studied for a class of nonlinear networked control systems with imperfect measurements. A novel measurement model is proposed to take time‐varying delays, random packet dropouts, and the packet‐dropout compensation into consideration simultaneously. After properly augmenting the states of the original system and the fault estimation filter, the addressed fault estimation problem is converted into an auxiliary H_∞ filtering problem for a stochastic parameter system. In terms of matrix inequalities, a sufficient condition for the existence of the fault estimation filter is derived that depends on the packet dropout rate, the upper and lower bounds of time delays, and the size of the consecutive packet dropouts. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.     

Stabilizing Controller Design for Discrete‐Time Networked Control Systems under a Multiple‐Packet Sequential Transmission Policy

This paper considers both state feedback and output feedback stabilization problems for discrete‐time networked control systems under a multiple‐packet sequential transmission policy. It is shown that the dynamics of the considered multiple‐packet transmission networked control systems can be modeled as switched control systems. In addition, based on the multiple Lyapunov function approach, we show that stabilizing networked feedback laws can be obtained by solving linear matrix inequalities.     

Delay‐ and Packet‐Disordering‐Dependent H∞ Output Tracking Control for Networked Control Systems

This paper is concerned with the problem of H_∞ output tracking control for networked control systems (NCSs) with network‐induced delay and packet disordering. Different from the results in existing literature, the controller design in this paper is both delay‐ and packet‐disordering‐dependent. Based on the different cases of consecutive predictions, the networked output tracking system is modeled into a switched system. Moreover, by the corresponding switching‐based Lyapunov functional approach, a linear matrix inequality (LMI)‐based procedure is proposed for designing state‐feedback controllers, which guarantees that the output of the closed‐loop NCSs tracks the output of a given reference model well in the H_∞ sense. In addition, the proposed method can be applied variously due to all kinds of prediction numbers of the consecutive disordering packet have been considered, and the designed controller is based on the prediction case in the last transmission interval, which brings about less conservatism. Finally numerical examples and simulations are used to illustrate the effectiveness and validity of the proposed switching‐based method and the delay‐ and packet‐disordering‐dependent H_∞ output tracking controller design.     

基于LMI的网络化控制系统的时滞相关研究

针对在网络化控制系统中不可避免的网络诱导时延会降低系统性能以及影响系统的稳定性问题,提出了一种基于线性矩阵不等式的时滞相关优化方法。构建了在网络诱导时延情形下网络化控制系统的数学模型,继而分析设计了基于LMI的时滞相关控制器。仿真实验中采用了Matlab的LMI工具箱,并结合了一定的迭代策略,结果表明,该方法具有一定的优越性。     

有界丢包网络控制系统的稳定性与能稳性

主要讨论有界丢包网络控制系统的稳定性与能稳性. 基于迭代方法将有界丢包网络控制系统建模为一个跳变系统. 由于网络的复杂性, 跳变系统状态转移矩阵的部分元素无法获得, 因此, 我们考虑的这种情况更具有一般性. 并且本文考虑的丢包同时存在于前馈和反馈通道. 最后, 数值例子表明本文方法的有效性.     

一种改进的网络控制系统控制器设计方法

讨论网络控制系统的状态反馈控制器设计问题。针对具有未知时变时延的网络控制系统,应用自由权矩阵方法得到系统的稳定性条件,并应用到具有时变结构不确定性的网络控制系统,在此基础上提出状态反馈控制器设计方法。数值实例表明该方法的有效性,与已有方法相比,具有较低的保守性。     

具有快变时延和丢包的网络控制系统镇定

对一类网络控制系统,研究了变时延和数据丢包对闭环系统稳定性的影响.基于Lyapunov-Krasovskii方法,给出了闭环系统的稳定条件,该条件不依赖于时延变化率的上界.通过求解一个适当的线性矩阵不等式(LMI)得到控制增益矩阵,求解时不需要对矩阵的结构进行限制,也不必使用重复迭代.最后,给出了一个数值例子以说明方法的有效性.     

Reliable H∞ Control for a Class of Nonlinear Networked Control Systems with Random Delays

In this paper, the problem of reliable H_∞ controller design is studied for a class of nonlinear networked control systems. A novel model is presented, which contains random transmission delays, faults of the sensor and actuator. The sensor‐to‐controller and controller‐to‐actuator transmission delays with upper bounds are considered, simultaneously. The working conditions of the sensor and actuator are formulated as two independent Markov chains, which take matrix values in finite sets, respectively. The resulting closed‐loop system is converted into a Markov switching system. On the basis of the cone complementary linearization algorithm, a mode‐dependent reliable controller is constructed such that the closed‐loop system is stochastically stable and attains the prescribed H_∞ disturbance attenuation level. Finally, a numerical example is given to show the effectiveness of the developed technique.     

具有随机丢包的网络控制系统的镇定

研究具有随机丢包的网络控制系统(NCS)的镇定问题.同时考虑传感器节点到控制器节点(S/C)和控制器节点到执行器节点(C/A)的随机丢包,并分别对这两种丢包现象建模.基于Lyapunov稳定性理论,得到闭环系统全局均方渐近稳定的充分条件.进一步利用线性矩阵不等式(LMI)方法,得到状态反馈控制律的增益矩阵.数值仿真算例验证了所得结果的有效性.     

MIMO网络控制系统的稳定性与控制器设计

对于具有多个独立传感器与执行器的多输入多输出网络控制系统,在具有多重时滞的情况下,建立一类网络控制系统的连续时间模型。通过构造一个新的李雅普诺夫函数,给出一个具有较低保守性的稳定性判据。基于该稳定性判据,给出输出反馈控制器的设计方法,数值仿真结果表明了该方法的有效性。     

存在通讯限制的网络控制系统鲁棒故障检测

对一类具有随机丢包和通讯限制的网络控制系统的鲁棒故障检测问题进行研究;考虑控制器到执行器间存在通讯限制以及传感器到控制器间存在数据丢包,并将丢包用Bernoulli随机二进制分布进行描述;在此基础上建立带有故障的离散时间模型,基于所建立的模型设计故障检测滤波器,使得残差系统随机稳定,同时滤波误差系统的H∞范数满足给定的衰减水平;所设计的故障检测滤波器不但保证了残差系统对故障的灵敏,同时对系统的外部扰动输入具有鲁棒性;数值算例验证了文章所提方法是可行的.     

Stabilization of nonlinear networked probabilistic interval delay systems with sensor random packet dropout

In this paper, the problem of stabilization for nonlinear networked systems with probabilistic interval delay and sensor random packet dropout is investigated. By employing the information of probabilistic distribution of time‐varying delay and considering random sensor packet dropout with compensation, the nonlinear stochastic delayed system model is established. Based on the obtained model, by choosing an appropriate Lyapunov function and utilizing a new discrete Jensen‐type inequality, sufficient conditions are derived to obtain the relation of the maximum allowable delay bound, delay interval occurrence rate and packet dropout rate to the stochastic stability of nonlinear networked control systems. Two kinds of design procedures for output feedback controller are also presented in terms of solving corresponding linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness and applicability of proposed techniques. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

Observer‐Based H∞ Control for Continuous‐Time Networked Control Systems

This paper is concerned with the observer‐based H_∞ control for continuous‐time networked control systems (NCSs) considering packet dropouts and network‐induced delays. The packet dropouts and network‐induced delays in the sensor‐to‐controller (S‐C) channel and network‐induced delays in the controller‐to‐actuator (C‐A) channel are taken into full consideration. By taking the non‐uniform distribution characteristic of the arrival instants of actually adopted controller inputs into account, a new model for continuous‐time NCSs is established. To reduce the conservatism of modelling, a linear estimation‐based measurement output estimation method is introduced. Based on the newly established model and a Lyapunov functional, new controller design methods are proposed. A numerical example is given to illustrate the effectiveness and merits of the derived results.     

一类基于观测器状态反馈镇定的网络化控制系统

本文研究仅仅在传感器与控制器之间存在网络的网络化控制系统的观测器以及控制器的设计问题．考虑系统同时存在随机时滞和数据包丢失的情况，通过求解线性矩阵不等式，设计出了保证网络化控制系统渐近稳定的观测器以及控制器．最后给出一个实例说明了此设计方法是有效的．     

Asymptotic Stability and Finite‐Time Stability of Networked Control Systems: Analysis and Synthesis

This paper focuses on the problems of asymptotic stability and finite‐time stability (FTS) analysis, along with the state feedback controller design for networked control systems (NCSs) with consideration of both network‐induced delay and packet dropout. The closed‐loop NCS is modeled as a discrete‐time linear system with a time‐varying, bounded state delay. Sufficient conditions for the asymptotic stability and the FTS of the closed‐loop NCS are provided, respectively. Based on the stability analysis results, a mixed controller design method, which guarantees the asymptotic stability of the closed‐loop NCS in the usual case and the FTS of the closed‐loop NCS in the unusual case (that is, in some particular time intervals, large state delay occurs), is presented. A numerical example is provided to illustrate the effectiveness of the proposed mixed controller design method.     

基于网络的运动控制系统预测控制研究

针对一类基于网络的运动控制系统中存在的时延和丢包问题进行研究。对于网络运动控制系统存在数据时延和丢包的情况,建立网络运动控制系统模型。在此模型下,对预测函数控制算法进行分析,设计了预测函数控制产生器和数据延时预测补偿器,并研究相应的补偿策略。仿真分析表明算法的合理性和有效性。     

不确定有损网络控制系统的鲁棒镇定

The data packet dropouts phenomenon is usually inevitable when information transmitted among communication networks. In this paper, the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied. First, an uncertain discrete-time switching system model is presented to describe these networked control systems. The stability equivalence is then proved between this switching system and an uncertain impulsive difference system. Moreover, a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system. From this condition the robust stabilization problem is dealt with for the uncertain impulsive system. Main results are given in linear matrix inequalities. Finally a numerical example is given to illustrate the theoretical results.     

Robust Stabilization of Uncertain Networked Control Systems with Data Packet Dropouts

The data packet dropouts phenomenon is usually inevitable when information transmit- ted among communication networks.In this paper,the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied.First,an uncertain discrete-time switching system model is presented to describe these networked control systems.The stability equiv- alence is then proved between this switching system and an uncertain impulsive difference system. Moreover,a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system.From this condition the robust stabilization problem is dealt with for the uncertain impulsive system.Main results are given in linear matrix inequalities.Finally a numerical example is given to illustrate the theoretical results.     

网络控制系统随机稳定性研究

研究了具有随机网络诱导时延及数据包丢失的网络控制系统随机稳定性问题. 本文用一个具有两个状态的马尔可夫链来描述数据通过网络传输时随机数据包丢失过程, 利用马尔可夫跳变线性系统理论, 将网络控制系统建模为一个具有两种运行模式的马尔可夫跳变线性系统, 给出了在状态反馈控制下网络控制系统随机稳定的线性矩阵不等式形式的充分条件, 最后用一个仿真示例验证了该方法的有效性.     

基于切换频度的马尔科夫网络控制系统均方指数镇定

针对一类马尔科夫网络控制系统(Networked control system, NCS),研究了其均方指数镇定问题. 首先将网络控制系统建模为离散时间切换系统,子系统间的切换过程由一个转移概率矩阵已知的马尔科夫链描述, 并给出了子系统间切换频度的范围;进而基于随机过程理论和切换系统稳定性理论, 利用状态反馈实现了网络控制系统均方指数镇定,状态反馈控制律可通过求解一组线性矩阵不等式获得. 最后通过数值仿真例子验证了本文方法的有效性.