LQG control of networked control systems with access constraints and delays

We explore the LQG control of a networked control system (NCS) in which a linear plant is controlled remotely over a network or other shared communication medium. The medium provides a limited number of simultaneous connections, so that only a subset of the plant's sensors and actuators may communicate with the controller at any one time, subject to known transmission delays. Instead of insisting on jointly optimal control and medium access policies, we reduce the infinity of possible access sequences down to those which preserve the stabilisability and detectability of the underlying plant, and are periodic. Our choice of communication and NCS model effect a kind of ‘decoupling’ of the LQG problem, in the sense that the medium access policy can be selected independently of the controller. This guarantees the existence of a stabilising LQG controller which is optimal for the communication policy of choice, and which is then combined with a delay compensator. We include simulations that illustrate our approach.     

带有通讯约束的网络化控制系统容错控制技术研究

文中研究了针对具有通讯约束的网络化控制系统存在执行器增益故障的容错控制问题. 提出一种静态调度策略, 利用周期通讯序列的方法调度网络资源及网络可用通道. 该研究的创新处在于首先将具有周期通讯序列及执行器故障的网络化控制系统建模为一个周期的切换系统, 并提出了基于调度依赖的利亚普诺夫函数方法对系统容错控制器进行设计. 由于调度策略使得在每个采样时刻存在数据丢失, 文中分别利用0值和上一时刻采样值替代所丢失的数据. 更进一步的, 当考虑控制对象存在外界能量有界干扰时, 分别就上述两种情况讨论了其鲁棒容错控制器的设计问题. 最后, 通过仿真实例证明了所提方法的有效性.     

Structural Properties of Networked Control Systems With Bandwidth Limitations and Delays

The structural properties of networked control systems with both bandwidth limitations and delays are investigated. Sufficient conditions are given for controllability (stabilizability) and reconstructibility (detectability). Our results enhance previous works by capturing bandwidth limitations and delays simultaneously. The adopted modeling framework could be readily used in control and estimation methods, including optimal and predictive schemes. It also facilitates the use of scheduling optimization algorithms in conjunction with the control scheme presented.     

Short-Period Communication and the Role of Zero-Order Holding in Networked Control Systems

We discuss controller design for a networked control system (NCS) in which a stochastic linear time invariant (LTI) plant communicates with a controller over a shared medium. The medium supports a limited number of simultaneous connections between the controller and the plant's sensors and actuators, possibly subject to transmission delays. We restrict communication to periodic medium access sequences which preserve the structural properties of the plant, thus decoupling the selection of the communication from that of the controller. Using the plant's controllability/observability indices as a guide for allocating access, we show that the period of the sequences in question can be shorter than previously established. In addition, we explore the use of sequences designed for a simple NCS model, in which sensors and actuators are “ignored” by the controller when they are not actively communicating, in a more complex, but practical, setting that includes zero-order holding. We include a numerical experiment that illustrates our results in the context of LQG control.      

Hybrid Scheduling and Quantized Output Feedback Control for Networked Control Systems

A novel co-design scheme of hybrid scheduling strategy, adaptive logarithmic quantizer and dynamic robust H-infinity output feedback controller for a class of networked control system (NCS)with communication constraints and time delay is proposed. The hybrid scheduling scheme integrates dead zone scheduling and Try Once Discard (TOD) scheduling so as to get the stronger adaptability and flexibility than the single scheduling. In this scheme, dead zone scheduling which updates the threshold according to mode-dependent control strategy is used for single node of NCS to reduce the network bandwidth utilization while TOD scheduling is used for the whole node of NCS in order to meet the requirements of communication constraints and guarantee the overall system performance.We develop the integrated design for the hybrid scheduling strategy, adaptive quantizer and dynamic robust output feedback controller to maintain asymptotic stability of the closed-loop NCS by using the multiple-Lyapunov function and switched system theory. The proposed method can improve the the quality of service (QoS) meanwhile ensure the quality of control (QoC) of overall systems, which make a better trade-off between network utilization and control performance. An simulation example demonstrates the efficiency of the proposed method.     

具有通信序列的网络控制系统LQG控制器设计

研究了具有通信序列的网络控制系统控制器设计问题.通过在系统的输入输出端设计通信序列,分时占用网络,以降低带宽约束对系统的影响,进而构建了具有通信序列的网络控制系统模型;在此基础上,将网络控制器设计分为2个部分,首先,基于输出值设计Kalman滤波器,用于提供最优状态估计值;然后,在考虑通信序列的基础上利用LQG方法协同...     

Modelling and optimal controller design of networked control systems with multiple delays

In this paper we discuss the modelling and control of networked control systems (NCS) where sensors, actuators and controllers are distributed and interconnected by a common communication network. Multiple distributed communication delays as well as multiple inputs and multiple outputs (MIMO) are considered in the modelling algorithm. In addition, the asynchronous sampling mechanisms of distributed sensors are characterized to obtain the actual time delays between sensors and the controller. Due to the characteristics of a network architecture, piecewise constant plant inputs are assumed and discrete-time models of plant and controller dynamics are adopted to analyse the stability and performance of a closed-loop NCS. The analysis result is used to verify the stability and performance of an NCS without considering the impact of multiple time delays in the controller design. In addition, the proposed NCS model is used as a foundation for optimal controller design. The proposed control algorithm utilizes the information of delayed signals and improves the control performance of a control system encountering distributed communication delays. Several simulation studies are provided to verify the control performance of the proposed controller design.     

基于动态通信调度的网络化系统最优控制

针对存在介质访问约束的网络化控制系统,研究其中的控制和通信协同设计问题.将网络化控制系统建模为输入矩阵随介质约束而变化的切换系统,运用最优控制理论和切换系统分析方法,设计了可动态调度的最优控制器及实时切换规则,并分析了动态调度下闭环网络化控制系统的稳定性,最后通过仿真验证了该方法的有效性.     

具有通信约束的网络化控制系统容错控制研究

Implementing a control system over a communication network induces inevitable time delays that may degrade performance and even cause instability. One of the most effective ways to reduce the negative effect of delays on the performance of networked control system (NCS) is to reduce network traffic. In this paper, adjustable deadbands are explored as a solution to reduce network traffic in NCS. A method of fault-tolerant control of networked control system is presented, which takes into account system response as well as network traffic. The integrity design for a kind of NCS with sensor failures and actuator failures is analyzed based on robust fault-tolerant control theory and information scheduling. After detailed theoretical analysis, the paper also provides the simulation results, which further validate the proposed scheme.     

分布式网络化控制系统优化协同设计

网络化控制系统的性能不仅与控制器的设计有关还与网络QoS有密切的联系;针对基于CAN总线协议的多闭环控制系统共享网络带宽的控制与资源调度协同设计问题,首先给出连续控制系统性能指标与传输延迟、采样周期的近似线性关系,然后以此为目标函数,以不可抢占RM可调度性和控制系统稳定性为约束条件,分配网络带宽,使控制系统整体性能最优,并对得到的传输周期进行谐调化处理,提高网络利用率;采用资源预留方法在不影响周期数据实时性的前提下,保证非周期数据的平均响应时间;最后将协调设计结果应用于某基于CANopen协议的分布式控制实验系统,控制3组倒立摆,通过研究脉冲响应并已有的调度策略比较说明了所提出策略可以有效提高控制系统性能及带宽利用率.     

LQG-like control of scalar systems over communication channels: The role of data losses,delays and SNR limitations

In this work we address the problem of feedback control design for scalar systems in the presence of a non-ideal communication channel, which gives rise to tightly coupled limitations in terms of quantization errors, decoding/computational delays and packet loss affecting the closed loop control performance. We restrict our analysis to the context of LQG-like control, where the estimator and controller gains are forced to be constant, subject to SNR limitations, packet loss, and constant delay, and we derive their impact on the optimal design of the controller parameters. In particular, we show that the stability of the closed loop system depends on a tradeoff among SNR, packet loss probability and delay. Through this analysis we are also able to recover, as special cases, several results already available in the literature that have treated packet loss, quantization error and delay separately. We also show that the estimator and controller cannot be designed independently even if the controller has full knowledge of the packet loss sequence and the control inputs to the plant. In fact the optimal control gain, when accounting for the communication constraints is, in general, different from the optimal gain derived under the classical LQG scenario, which is recaptured when the SNR over the channel goes to infinity.     

Design of a Networked Tracking Control System With a Data-based Approach

Tracking control is a very challenging problem in the networked control system (NCS), especially for the process with blurred mechanism and where only input-output data are available. This paper has proposed a data-based design approach for the networked tracking control system (NTCS). The method utilizes the input-output data of the controlled process to establish a predictive model with the help of fuzzy cluster modelling (FCM) technology. Then, the deduced error and error change in the future are treated as inputs of a fuzzy sliding mode controller (FSMC) to obtain a string of future control actions. These candidate control actions in the controller side are delivered to the plant side. Thus, the network induced time delays are compensated by selecting appropriate control action. Simulation outputs prove the validity of the proposed method.      

基于Ethernet的网络控制系统最优控制器设计

针对以太网作为控制网络存在的数据传输时延给控制品质带来不良影响问题,提出运用通讯技术中的网络协议对网络时延进行在线估计。在此基础上,应用控制理论中的李亚普诺夫稳定性定理以及最优控制理论为网络控制系统设计最优控制器——DCLQC控制器。通过实验证明了上述设计的有效性,从而说明了以太网作为控制网络的可行性。     

δ算子下的网络控制系统最优控制方法

研究网络控制系统的随机最优控制问题,提出了针对随机时延的网络控制系统最优控制律和二次型性能指标极小的控制律设计方案．在δ算子域内应用动态规划理论．设计网络控制系统的最优状态反馈和输出反馈控制律,得到的线性二次型高斯控制器可对系统中的随机长时延进行动态补偿．最后通过实例仿真验证了上述最优控制方案的可行性和有效性．     

Adaptive predictive functional control for networked control systems with random delays

Nowadays, more and more field devices are connected to the central controller through a serial communication network such as fieldbus or industrial Ethernet. Some of these serial communication networks like controller area network (CAN) or industrial Ethernet will introduce random transfer delays into the networked control systems (NCS), which causes control performance degradation and even system instability. To address this problem, the adaptive predictive functional control algorithm is derived by applying the concept of predictive functional control to a discrete state space model with variable delay. The method of estimating the network-induced delay is also proposed to facilitate the control algorithm implementing. Then, an NCS simulation research based on TrueTime simulator is carried out to validate the proposed control algorithm. The numerical simulations show that the proposed adaptive predictive functional control algorithm is effective for NCS with random delays.     

一类线性网络控制系统鲁棒L1控制

研究一类网络控制系统(NCS)的L1控制问题.针对一类具有时延和丢包的网络控制系统,将其建模为线性时变时延系统,利用Lyapunov稳定性理论和线性矩阵不等式方法建立具有鲁棒L1性能约束的状态反馈控制器.首先给出闭环系统渐近稳定且具有峰—峰值性能约束的充分条件,然后给出网络控制系统状态反馈控制器L1控制率的设计方法,最...     

网络控制系统中动态调度策略与控制器的综合设计

针对CAN网下的网络控制系统（NCS），提出一种动态闭环调度策略．通过网络监测器周期地在线获取当前的网络服务质量，估计当前可利用的网络带宽等参数，实时地调整控制系统的采样周期以适应网络中信息流的变化。将采用动态闭环调度策略的变采样周期NCS建模为一类具有参数不确定性的离散系统，研究了系统的鲁棒稳定性和控制器的设计方法．仿真结果表明所提出的综合设计方法对改善网络的运行能力和保证系统稳定性是有效的。     

含大时滞和噪声的网络化控制系统的最优故障诊断

研究含大测量时滞和噪声的网络控制系统(Networked control systems, NCS)的故障诊断问题, 提出一种新的基于无时滞转换方法的最优故障诊断器的设计方法. 该方法首先构造一个隐含故障状态的增广系统, 并利用无时滞转换方法将含有测量时滞的网络控制系统转换为无时滞系统. 然后给出了故障的可诊断性判据, 并利用对偶原理将最优故障诊断器的设计问题转换为状态反馈控制器设计问题. 最后, 通过构造一种满足二次型性能指标的最优故障诊断器, 实现了故障的实时诊断. 仿真示例验证了该方法的可行性和有效性.     

DTS: Dynamic TDMA scheduling for Networked Control Systems

Networked Control Systems (NCSs) are pervasively applied in modern industry. With increasing functionalities, modern NCSs tend to have dynamic workload by holding a variety of applications via a shared network. To handle workload variations and provide performance guarantees, dynamic network scheduling scheme is highly desired in NCSs. In this paper, we propose a network scheduling scheme, referred to as DTS, that can make on-the-fly decisions to schedule the applications in NCSs. DTS aims at NCSs that use time-triggered network as shared medium and Time division multiple access (TDMA) as network access method. DTS dynamically changes the network accessing sequence of the applications in a way to provide optimal system performance and maintain control stability in NCSs. DTS adopts a decentralized schedule mechanism where each application can make its local schedule decision, enhancing the scalability of NCSs. Simulation results demonstrate the effectiveness of the proposed scheme by improving the network bandwidth and providing better system performance in NCS comparing with the existing time-triggered scheduling schemes.     

H2 CONTROLLER DESIGN FOR NETWORKED CONTROL SYSTEMS

This paper deals with the problem of designing an H₂ controller for a networked control system (NCS) with communication delays from the sensor to the controller and/or from the controller to the plant. Our objective is to design a robust controller that will not only stabilize the system but also achieve a sub‐opti‐ mal H₂ performance in the face of possible communication delays. Both the state feedback control and output feedback control are considered. The feedback control problem for the original system is first converted to a static output feedback control problem. A recursive linear matrix inequality (LMI) algorithm is then presented to compute a state or output feedback H₂ controller for the system. Our approach allows a fixed order controller. Numerical examples are given to demonstrate the effectiveness of the proposed approach.