Observer-based H∞ control over packet dropping networks

A new controller design problem of networked control systems with packet dropping is proposed. Depending on the place that the observer is put in the system, the network control systems with packet dropping are modeled as stochastic systems with the random variables satisfying the Bernoulli random binary distribution. The observer-based controller is designed to stabilize the networked system in the sense of mean square, and the prescribed H∞ disturbance attenuation level is achieved. The controller design problem is formulated as the feasibility of the convex optimization problem, which can be solved by a linear matrix inequality (LMI) approach. Numerical examples illustrate the effectiveness of the proposed methods.     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied.When data are transmitted over network,the stochastic data packet dropout process can be described by a two-state Markov chain.The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes.The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality.The state feedback controller can be constructed via the solution of a set of linear matrix inequalities.An example is given to verify the effectiveness of the method proposed.     

基于状态多时延模型的NCS鲁棒H_∞容错控制

针对一类具有时变时延和丢包的网络化控制系统,同时考虑模型参数不确定性和外界扰动的影响,基于一种状态多时延模型,以时滞依赖的方法,推证出了确保闭环系统在执行器或传感器发生失效故障时具有鲁棒H∞完整性的判据,并以求解线性或非线性矩阵不等式的方式,给出了鲁棒H∞容错控制器的设计方法。由于模型中考虑了时延下界,且证明过程未进行模型转换和交叉项放大处理,其结果具有较少保守性。最后以一仿真示例验证了所述方法的有效性。     

Observer-based H∞ control over packet dropping networks

A new controller design problem of networked control systems with packet dropping is proposed. Depending on the place that the observer is put in the system, the network control systems with packet dropping are modeled as stochastic systems with the random variables satisfying the Bernoulli random binary distribution. The observer-based controller is designed to stabilize the networked system in the sense of mean square, and the prescribed H∞ disturbance attenuation level is achieved. The controller design problem is formulated as the feasibility of the convex optimization problem, which can be solved by a linear matrix inequality （LMI） approach. Numerical examples illustrate the effectiveness of the proposed methods.     

Ho∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system (NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller (S/C) and from controller to actuator (C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process can be described by a two-state Markov chain. The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes. The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality. The state feedback controller can be constructed via the solution of a set of linear matrix inequalities. An example is given to verify the effectiveness of the method proposed.     

H_∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system(NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller(S/C) and from controller to actuator(C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

Packet-loss-dependent stabilization of NCSs with network-induced delay and packet dropout

This paper is concerned with controller design of networked control systems (NCSs) with both network-induced delay and arbitrary packet dropout.By using a packet-loss-dependent Lyapunov function,suffic...     

基于观测器的丢包网络控制系统控制器设计

针对网络控制系统的数据包丢失(丢包)问题,提出将网络控制系统中的丢包问题看成是被控对象输入矩阵的切换问题和控制器对象输入矩阵的分别切换问题,进而将网络控制系统看成是由矩阵切换决定的切换律未知的切换系统,将丢包等效为切换系统中子系统之间的切换。采用李雅普诺夫函数方法,对每个由矩阵形式决定的子系统设计了基于观测器的状态反馈控制器。利用线性矩阵不等式(linear matrix inequalities,LMI)的可行解给出了计算状态观测器和控制器的参数化方法。最后通过仿真算例验证了该方法的有效性。     

基于递归神经网络的伺服系统自适应反步控制

针对伺服系统的系统参数摄动和非线性动态摩擦补偿问题,提出基于递归神经网络(RNN)的自适应反步控制(RNABC)系统设计方法.RNABC系统由反步控制器和鲁棒控制器组成,反步控制器包含RNN不确定观测器,鲁棒控制器则用来消除由于引入不确定观测器而带来的逼近误差.由于自适应反步控制的自适应律源于Lyapunoy函数的,因此系统的稳定性得到了保证.仿真结果表明,对于系统参数摄动和非线性摩擦干扰RNABC能使伺服系统具有很好的跟踪性能.     

基于对位学习多目标遗传算法的板形板厚控制

提出了一种基于对位学习多目标遗传算法的板形板厚控制系统设计方法。该方法给出了控制系统的结构,建立了板形板厚控制器参数的多目标优化模型,并采用对位学习多目标遗传算法对该模型进行多目标优化,得到一组控制器参数的Pareto解。在其中选择三个Pareto解对应的控制器参数,作用于板形板厚控制系统做仿真研究。结果表明,所得到的Pareto解集中选定区域的解都可以使系统具有满意的性能,并且对扰动有较好的抑制作用,证实了该方法的有效性。     

Fault detection observer design for networked control system with long time-delays and data packet dropout

Focusing on the networked control system with long time-delays and data packet dropout, the problem of observerbased fault detection of the system is studied. According to conditions of data arrival of the controller, the state observers of the system are designed to detect faults when they occur in the system. When the system is normal, the observers system is modeled as an uncertain switched system. Based on the model, stability condition of the whole system is given. When conditions are satisfied, the system is asymptotically stable. When a fault occurs, the observers residual can change rapidly to detect the fault. A numerical example shows the effectiveness of the proposed method.     

基于变采样周期方法的网络控制系统协同设计

提出了一种基于变采样周期的动态调度策略,通过实时调整控制系统的采样周期以适应网络中信息流的变化,改善网络中时延、丢包等问题.采用动态调度策略的NCS为一个变采样周期系统,考虑时延的影响,通过等效变换将时延和采样周期的不确定性转化为系统参数的不确定性,从而将NCS建模为一类具有参数不确定性的离散时间系统,并给出了系统D-稳定的控制器设计方法,实现NCS的控制与调度协同设计.最后通过数值仿真验证了所提出的方法的有效性.     

有时延和数据包丢失的网络控制系统反馈控制

针对同时具有网络诱导时延和数据包丢失的网络控制系统,假设数据包丢失率一定,网络诱导时延小于一个采样周期,将网络控制系统建模为具有事件率约束的异步动态系统。提出了使得该系统达到指数稳定的动态输出反馈控制器的设计方法。利用遗传算法获得了NCS的事件衰减率的局部极大值。通过仿真算例证明了该方法的有效性。     

具有时变时延和丢包的网络控制系统H∞优化控制

研究了一类存在时变时延和丢包的网络控制系统(networked control systems, NCS )的H∞优化控制问题。当网络时延和连续丢包有界时,NCS被建模为等效的具有时变时滞的系统,利用Lvapunov Krasovskii泛函和线性矩阵不等式方法,在NCS渐近稳定的基础上给出NCS状态反馈次优和最优H∞控制律的设计方法,求解时不需要使用重复迭代,设计控制器时也无须知道调节参数。仿真表明了此方法的可行性和有效性。     

Graphic theory on interval stability of networked control systems

A new method on the interval stability of networked control systems （NCSs） with random delay and data packet dropout is studied. Combining interval systems and NCSs, a graphic condition on judging interval stability is presented in terms of the weighted diagraph theory in graph theory. Furthermore, utilizing the graph-theoretic algorithm, the delay-depended controller gains are obtained. Aiming at the same delay and data packed dropout, several controller gains are obtained, simultaneously. The example and simulation illustrate the effectiveness of the proposed method.     

A Disturbance Rejection Control Approach for Clock Synchronization in IEEE 1588 Networks

This paper is concerned with the clock synchronization problem for IEEE 1588 networks. First, the synchronization error is described as a bounded disturbance, and a linear extended state observer (LESO) is designed to estimate the lumped disturbance induced by the oscillator frequency drift and timestamps quantization errors. Then, the lumped disturbance is compensated by the proposed controller. The proposed approach has the advantage that it’s able to deal with non-Gaussian disturbance induced by accumulated quantization errors. Simulations are provided to validate the effectiveness and superiority of the proposed approach.     

Research on robust mean square stability of networked control systems with packet dropout

This paper is concerned with the robust stabilization problem of networked control systems with stochastic packet dropouts and uncertain parameters. Considering the stochastic packet dropout occuring in two channels between the sensor and the controller, and between the controller and the actuator, networked control systems are modeled as the Markovian jump linear system with four operation modes. Based on this model, the necessary and sufficient conditions for the mean square stability of the deterministic...     

基于H∞设计法的非线性舵鳍联合控制系统仿真研究

建立了首摇、横荡、横摇三个自由度的船舶运动方程。给出了随机海浪波高、横荡力、横摇力矩、艏摇力矩的仿真算法。介绍了干扰抑制的H^∞线性系统设计方法。把非线性船舶舵鳍联合控制系统设计问题化为以二次型性能指标为目标函数的干扰抑制的H^∞线性系统设计问题；基于H^∞系统设计方法，进行舵鳍联合控制系统的设计。并用MATLAB语言完成了控制器的设计与仿真，仿真结果表明基于H^∞设计法的舵鳍联合控制器在保证航向控制的同时，达到较高的减摇效果。     

基于干扰估计的BTT导弹鲁棒方差姿态控制

针对存在非线性和不确定性的倾斜转弯(bank-to-turn, BTT)导弹姿态控制问题,提出基于干扰估计的鲁棒方差控制方法。将姿态运动中非线性项和不确定项作为总干扰,采用干扰观测器进行估计,并引入控制系统进行补偿。干扰观测器的观测误差作为BTT导弹姿态运动的干扰输入,为了保证控制系统具有良好的动态和稳态性能,采用鲁棒方差控制理论设计了线性反馈控制器,将闭环极点配置在特定圆盘区域,同时将状态变量的稳态方差保持在给定的范围内。仿真结果表明,所提出的鲁棒方差姿态控制器能够保证良好的控制效果,鲁棒性强。