Controller design for networked control system with data packet dropout and transmission delays

In this paper, the stabilization problem for a class of networked control systems （NCSs） with data packet dropouts and transmission time delays is considered, where the delays are time-varying and uncertain, the data packet dropout is modeled as a two-state Markov chain. To compensate the lost packet, a data packet dropout compensator is established. Thus a more realistic model for such NCSs is presented. Sufficient conditions for the stabilization of the new resulting system are derived in the form of linear matrix inequalities （LMIs）. Numerical example illustrates the solvability and effectiveness of the results.     

STABILITY ANALYSIS OF NETWORKED SYSTEMS WITH PACKET DROPOUT AND TRANSMISSION DELAYS: DISCRETE‐TIME CASE

This paper analyzes the stability of networked control systems (NCSs) with data packet dropout and transmission delays induced by communication channels. Discrete‐time NCSs with data packet dropout and transmission delays are modeled as linear systems with time‐varying delays. Sufficient conditions for the stability of the NCSs are established in terms of linear matrix inequalities (LMIs) by using the Lyapunov function method. The case of NCSs with multiple‐packet transmission is also studied. A numerical example is presented to illustrate our proposed approach.     

时延丢包网络控制系统的分析与控制

针对网络控制系统中同时存在时延和丢包问题,基于零阶保持器的工作机制,将同时受时延和丢包影响的网络控制系统建模为输入带有时延的控制系统,根据李雅普诺夫稳定性理论和时滞系统理论得出控制系统的时滞相关稳定性条件,进一步基于锥补线性化的方法给出控制器的设计方法,有效解决了网络控制系统中同时存在时延和丢包的控制问题。仿真算例表明所提方法的有效性。     

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.     

Robust stabilization for a class of nonlinear networked control systems

The problem of robust stabilization for a class of uncertain networked control systems （NCSs） with nonlinearities satisfying a given sector condition is investigated in this paper. By introducing a new model of NCSs with parameter uncertainty, network-induced delay, nonlinearity and data packet dropout in the transmission, a strict linear matrix inequality （LMI） criterion is proposed for robust stabilization of the uncertain nonlinear NCSs based on the Lyapunov stability theory. The maximum allowable transfer interval （MATI） can be derived by solving the feasibility problem of the corresponding LMI. Some numerical examples are provided to demonstrate the applicability of the proposed algorithm.     

有数据包丢失和时延的网络控制系统稳定化

在同时考虑网络时延和数据包丢失的基础上,研究了网络控制系统的反馈控制器设计问题;用迭代的方法分析了数据包的丢失问题。在当前的状态测量不能被控制器实时得到时,利用旧的信息来控制系统,将网络化控制系统建模为切换模型。基于切换系统理论和分段Lyapunov函数理论,构造了线性矩阵不等式,推导出网络控制系统反馈控制器稳定的充要条件。数值仿真算例说明了所提方法的可行性和有效性。     

H∞ Control Synthesis for Lurie Networked Control Systems with Multiple Delays Based on the Non‐Uniform Characteristic

This paper investigates the H _∞ control synthesis problem for Lurie networked control systems (NCSs) with multiple time‐varying delays. With the consideration of both network‐induced delays and data packet dropout, Lurie NCSs discussed in this work can effectively be transformed into Lurie control systems with multiple time‐varying delays. In addition, with the non‐uniform distribution characteristics of network delays, based on the delay probability distribution, the stable controller design, and H _∞ synthesis, approaches are derived in the form of linear matrix inequalities (LMIs). Finally, a set of numerical examples are studied, and the results demonstrate the applicability and effectiveness of the suggested approaches.     

Compensation for control packet dropout in networked control systems

With the integration of communication networks and distributed control in modern manufacturing and process industries, networked control systems (NCSs) are becoming increasingly important due to its simplicity, scalability, flexibility, and cost effectiveness. However, there are still significant technical barriers that limit the applications of NCS technologies. Two challenges are network-induced time delay and data packet dropout. Applying a real-time queuing protocol that we developed recently, we are able to limit the sum of the network-induced communication delay and the control computation delay within a control period. This one-period delay is further guaranteed by well designed compensation for control packet dropout. Then, this paper proposes to compensate for the control packet dropout at the actuator using past control signals. Three model-free strategies for control packet dropout compensation, namely, PD (proportional plus derivative), PD2 (proportional plus up to the second-order derivative), and PD3 (proportional plus up to the third-order derivative) are developed. They are suitable for a large number of NCSs without the need to tune the compensator parameters. The proposed dropout compensation schemes are demonstrated through numerical examples.     

网络控制系统的模型建立及稳定研究

随着互联网技术的发展,以太网逐渐被引入到工业控制领域.对于一个网络控制系统,网络带来的控制系统时滞和丢包是不可避免的,因此,在对网络控制系统的建模中,必需重点考虑时延和丢包的影响.分析了网络控制系统的时延特征,并将数据丢包的网络控制系统建模成具有事件率约束的异步动态系统.对网络控制系统模型用传统的PID算法对系统进行仿真控制,在存在系统随机时延和不存在随机时延的两种情况下,仿真分析了网络控制系统的稳定性,仿真结果进一步验证了网络控制系统保持稳定的丢包范围.     

Adaptive stabilisation of networked control systems tolerant to unknown actuator failures

In this article, adaptive state feedback stabilising controllers for networked adaptive control systems with unknown actuator failures are developed. The problems of networked control systems (NCSs) such as transmission delays and data-packets dropout, induced by the insertion of data networks in the feedback adaptive control loops are also considered. The novelty of this article consists in the combination of different aspects in NCSs: state tracking control of systems with unknown parameters, unknown actuator failures, network-induced delays and data-packets dropout. Normalised adaptive laws are designed for updating the controller parameters. Sufficient conditions for Lyapunov stability are derived in the case of uncertainty due to actuator failures, delays and data-packets dropout. Simulation results are given to illustrate the effectiveness of our design approach.     

MIMO网络控制系统的指数稳定性

研究具有时延和数据包丢失的多输入多输出网络控制系统的指数稳定性和控制器设计问题.对在传感器与控制器、控制器与执行器间皆有时延和数据包丢失的网络控制系统结构进行了简化,建立了动态输出反馈网络控制系统模型.基于异步动态系统理论、Lyapunov稳定性原理和线性矩阵不等式方法导出网络控制系统指数稳定的半负定矩阵条件和动态输出反馈控制律设计方法.数值算例说明结果是可行的.     

Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout

In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilisation of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.     

Compensation-based control for lossy communication networks

In this paper, we are concerned with the stability analysis and the design of stabilising compensation-based control algorithms for networked control systems (NCSs) that exhibit packet dropouts. In order to increase the robustness against packet dropouts for such NCSs, we propose a new type of model-based dropout compensator, which depends on the local dropout history. Moreover, we provide linear matrix inequality based synthesis conditions for such compensators guaranteeing robust stability. The analysis and design framework includes both worst-case-bound and stochastic models to describe the packet-dropout behaviour in both the sensor-to-controller and the controller-to-actuator channels. Numerical examples demonstrate the significantly improved robustness with respect to packet dropouts using the proposed dropout compensator, compared to using the existing zero strategy and the hold strategy.     

网络控制系统的H∞状态反馈控制器设计

研究了对网络控制系统如何设计H∞状态反馈控制器.这些网络控制系统中存在不确定的网络时延和数据包丢失.当网络时延和连续丢包有界时,可以将系统建模为具有时变输入时滞的系统,利用Lyapunov-Krasovskii泛函,推导出网络控制系统渐近稳定的充分条件.将这些充分条件转化为带等式约束的LMIs,并对他们进行迭代求解,就可以构造H∞控制器.与现有结果相比,在推导稳定性条件时本文对交叉项采取了更紧的界定,并且在设计控制器时无需知道调节参数.因此,本文提出的方法具有更低的保守性.仿真结果说明了本方法的正确性和有效性.     

有时延和数据包丢失的网络控制系统控制器设计

在同时考虑网络诱导时延和数据包丢失的基础上,研究了动态输出反馈网络控制系统指数稳定性和控制器设计问题.基于一定的数据包丢失率和不大于一个采样周期的时延,将系统建模为结构事件率约束的异步动态系统.利用线性矩阵不等式方法推导出网络接通率约束的系统指数稳定的充要条件,给出了确保系统稳定的控制器设计方法.Matlab数值算例说明了研究结果是有效可行的.     

基于自由权矩阵法的网络控制系统稳定性研究

研究了包含随机、有界传输时延和丢包的网络控制系统的稳定。将网络控制系统建模为具有时变输入时延的离散时间模型,利用Lyapunov-Krasovskii定理和自由权矩阵法,推导得出基于线性矩阵不等式形式的渐近稳定充分条件。数值仿真验证了方法的有效性。     

Time delay and packet dropout compensation for networked control systems: a linear estimation method

This article studies the problem of H _∞ controller design for networked control systems (NCSs) with time delay and packet dropout. A linear estimation-based time delay and packet dropout compensation method is proposed. The delay switching-based method is presented to deal with the variation of time delay, and H _∞ controller design is presented for NCSs with packet dropout compensation by using linear matrix inequality (LMI)-based method. Then the combined delay switching and parameter uncertainty-based method is presented to model the variation of time delay, and H _∞ controller design is also presented. The simulation results illustrate the effectiveness of the newly proposed linear estimation-based time delay and packet dropout compensation.     

存在时延和数据包丢失情况下状态反馈网络控制系统的指数稳定性

同时考虑网络诱导时延和数据包丢失以及传感器与控制器、控制器与执行器之间均存在网络的情况，研究了状态反馈网络控制系统的稳定性问题．基于一定的数据包丢失率和恒定时延，系统被建模为由结构事件率约束的异步动态切换系统．利用李亚普诺夫方法和线性矩阵不等式描述，推导出由数据包丢失率约束的系统指数稳定的充分条件，给出了系统指数稳定的容许数据丢包率和系统开环状态及闭环结构的关系，以使系统指数稳定．用Matlab LMI工具箱容易判定系统的指数稳定性，同时获得系统指数稳定的状态反馈控制律．Matlab仿真说明，分析方法是有效的，稳定判据是可行的．     

网络控制系统的稳定性分析和研究

该文针对目前网络控制系统的研究现状,阐述了在网络控制系统的分析和设计中需要明确的几个基本问题。综述了具有时变传输周期、网络调度、数据丢包以及网络时滞时的网络控制系统的建模与各种控制策略问题。尤其是网络控制系统在这些情况下的稳定性研究问题,然后列举了一些具有代表性的网络控制系统稳定性分析的最新结果。在此基础上分析了网络控制系统稳定性分析研究中尚待解决的问题,以及新的研究方向。     

Dynamic output feedback control for uncertain networked control systems with random network-induced delays

This paper investigates the stabilization problem for a class of uncertain networked control systems (NCSs) with random communication network-induced delays. A dynamic output feedback controller is designed for the uncertain NCSs in the presence of network effects, i.e., network-induced delays and packet dropouts in both the sensor-controller and controller-actuator channels. Based on the Lyapunov-Razumikhin method, the existence of such controller is given in terms of the solvability of bilinear matrix inequalities. An iterative algorithm is proposed to change this non-convex problem into quasi-convex optimization problems, which can be solved effectively by available mathematical tools. The effectiveness of the proposed design methodology is verified by a numerical example.