时延下遥操作机器人系统H_∞鲁棒控制研究

针对遥操作机器人系统通信通道中存在时延以及系统模型存在不确定性而可能造成系统不稳定和操作性能降低的问题,采用了H∞混合灵敏度鲁棒控制的方法设计主从机械手的控制器.首先概括的介绍了系统的构成及动力学模型,然后针对控制器设计中加权函数选择较困难的问题,研究了一种较实用的加权函数选择方法,并采用MATLAB鲁棒控制工具箱进行了控制器设计,最后给出了系统在随机时延环境下Simulink的仿真结果.结果表明系统在受扰和通信信道存在随机时延的情况下,仍具有良好的鲁棒稳定性和跟踪性能.     

具有通信约束的网络控制系统动态调度与H∞控制协同设计

针对一类具有通信约束的随机时延网络控制系统,提出一种基于试一次丢弃(try-once-discard,TOD)动态调度策略与鲁棒H∞控制器协同设计的方法.考虑通信约束和随机时延的影响,将系统建模为一类具有参数不确定性的离散切换系统,并采用切换系统和Lyapunov稳定性理论,给出了TOD调度策略下使闭环系统渐近稳定的鲁棒H∞控制器设计方法.最后通过仿真验证了方法的有效性.     

网络控制系统的时延仿真研究与控制器设计

针对网络控制系统(NCS)中的随机时延问题,根据实际网络时延的分布情况,提出了一种新的具有随机时延的网络控制系统的建模方法-离散T-S模型,并用并行分布补偿原理(PDC)设计模糊控制器.同时提出一种新的模糊控制系统隶属函数的确定方法,利用Lyapunov定理和线性矩阵不等式(LMI)研究了系统的稳定性问题,给出基于LMI的模糊控制器的设计方法.最后通过仿真实例证明控制方法能够使具有时延的网络控制系统稳定.     

具有时延的网络控制系统控制器设计

针对一类存在随机时延的网络控制系统,传感器采用时间驱动,控制器和执行器采用事件驱动,提出了一种新的具有随机时延的网络控制系统的建模方法-离散模糊T-S模型,在此模型的基础上应用并行分布补偿（PDC）原理设计了模糊控制器。应用Lyapunov定理和线性矩阵不等式（LMI）方法,研究了系统的稳定性问题,给出基于LMI的状态反馈模糊控制器的设计方法。通过仿真实例验证控制方法能够保证系统稳定。     

基于动态反馈控制器的网络控制系统的稳定性分析

考虑实际模型的不确定性,针对一类具有不确定线性参数的网络控制系统,给出具有网络诱导时延及不确定线性参数的被控对象模型,设计其动态反馈控制器,建立基于动态反馈控制器的网络控制系统闭环模型.采用Lyapunov方法,给出保证该系统稳定的最大允许时延上界.仿真结果表明系统模型及控制器设计的合理性,所得最大允许时延上界保守性更弱.     

基于网络控制系统平均时延的模糊控制器设计

针对网络控制系统(NCS)中的随机时延问题,根据实际网络时延的分布情况,提出一种新的具有随机时廷的网络控制系统的建模方法--离散T-S模型,并在此基础上应用并行分布补偿原理(PDC)设计模糊控制器.同时提出一种新的模糊控制系统隶属函数的确定方法,利用Lyapunov定理和线性矩阵不等式(LMI)研究系统的稳定性问题,给出了基于LMI的模糊控制器的设计方法.最后通过仿真实例验证了该控制方法能使具有时延的网络控制系统稳定.     

长时延和丢包的网络控制系统保性能控制

为了研究具有长时延和丢包的网络控制系统保性能控制问题,假设传感器由时钟驱动,控制器和执行器由事件驱动,网络时延在两个采样周期之间,丢包具有马尔科夫跳变特性,利用状态增广的方法,把具有长时延和丢包的网络控制系统建模为具有两种运行模式的离散时间马尔可夫跳变系统,把网络时延转化为系统参数矩阵的不确定性.在此基础上,利用马尔可夫线性跳变系统理论和线性矩阵不等式方法,推导出使网络控制系统随机稳定的保性能控制律存在的充分条件,并给出了设计方法.数例仿真说明了所用方法的有效性.     

具有随机时延的网络控制系统周期反馈控制

针对一类具有随机时延的网络控制系统(NCSs)周期反馈控制问题,提出一个新颖的马尔可夫随机时滞系统模型.该模型包括一个分段常数广义采样保持函数(PCGSHF)以及一个用于描述网络诱导时延和数据包丢失的马尔可夫链.应用李亚普诺夫方法以及线性矩阵不等式技术得到了闭环 NCSs 随机稳定的充分条件,并给出了状态反馈控制器和 PCGSHF 的设计方法.最后,通过仿真算例验证了设计方法的有效性.     

具有随机长时延的网络控制系统保性能控制

本文研究了一类具有随机长时延离散时间网络控制系统(NCSs)的建模和保性能控制问题.用两个马尔可夫链分别来描述反馈通道和前向通道的网络诱导时延,基于采用现有最新数据的原则,将闭环NCS建模成一个与当前时刻和过去时刻网络诱导时延有关的马尔可夫随机时滞系统.应用线性矩阵不等式技术和李亚普诺夫方法得到了闭环NCS随机稳定且具有二次性能指标上界的充分条件,并给出了状态反馈保性能控制器的设计方法.最后,通过数值算例验证了本文方法的有效性.     

具有大时延的网络控制系统的稳定性分析

针对一类具有随机大时延(大于一个采样周期)的网络控制系统，通过对系统的离散化，从理论上分析了系统的稳定性．利用分割的思想处理随机的网络时延，采用高线控制器设计与在线切换规律设计相结合的方法，给出了系统基于控制器切换技术的稳定的梯度算法．仿真算例说明了结论与算法的正确性．     

State Feedback Control of Uncertain Networked Control Systems With Random Time Delays

This note investigates the stabilization problem for a class of linear uncertain networked control systems with random communication time delays. Both sensor-to-controller and controller-to-actuator random-network-induced delays are considered. Markov processes are used to model these random-network-induced delays. Based on the Lyapunov-Razumikhin method a mode-dependent state feedback controller is proposed to stabilize this class of systems. The existence of such a controller is given in terms of the solvability of bilinear matrix inequalities, which are to be solved by a newly proposed algorithm. A numerical example is used to illustrate the validity of the design methodology.     

Quantized robust ℋ∞ control of discrete-time systems with random communication delays

The article considers stability and robust ?_∞ controller design of discrete-time systems with random communication delays and state quantization. A finite state Markov process is used to model communication delays between sensors and controllers. Measurements are assumed to be quantized by a logarithmic quantizer, and the effect of quantization errors are incorporated into the controller design. Based on a Lyapunov–Krasovskii approach, novel methodologies for analysing stability and designing a time-delay mode-dependent quantized state feedback controller are proposed. The controller is obtained through solving bilinear matrix inequalities (BMIs) using the cone complementarity linearisation algorithm.     

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.     

H/sub /spl infin// control for networked systems with random communication delays

This note is concerned with a new controller design problem for networked systems with random communication delays. Two kinds of random delays are simultaneously considered: i) from the controller to the plant, and ii) from the sensor to the controller, via a limited bandwidth communication channel. The random delays are modeled as a linear function of the stochastic variable satisfying Bernoulli random binary distribution. The observer-based controller is designed to exponentially stabilize the networked system in the sense of mean square, and also achieve the prescribed H/sub /spl infin// disturbance attenuation level. The addressed controller design problem is transformed to an auxiliary convex optimization problem, which can be solved by a linear matrix inequality (LMI) approach. An illustrative example is provided to show the applicability of the proposed method.     

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．     

Robust partially mode delay dependent ℋ ∞ control of discrete-time networked control systems

This article proposes a methodology for designing a partially mode delay dependent ?_∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controller are modelled by a finite state Markov chain where the transition probability matrix is partially known. Stability criteria are obtained based on Lyapunov–Krasovskii functional and a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The controller is obtained by solving linear matrix inequality optimisation problems using cone complimentarity linearisation algorithm. A numerical example is provided to illustrate the effectiveness of the proposed controller.     

State Feedback Control for Discrete‐time Markovian Jump Systems with Random Communication Time Delay

This paper concerns the stabilization problem for a class of networked control system with Markovian parameter using mode dependent state feed‐back controller through a wireless networked control system. The problem that the random network‐induced delays generated both by wireless connection contention and the movement of wireless nodes is taken into consideration. The mode dependent controller can be obtained by solving a set of parameterized bilinear matrix inequalities (BMIs). A numerical example is exhibited to show the effectiveness of the proposed design method.     

随机时延网络化不确定系统的鲁棒H∞滤波

研究了一类具有随机时延的网络化不确定系统的 H∞ 滤波器设计问题. 这类时延的产生是由于传感器和滤波器通过有限带宽的网络连接而引起的系统测量数据的滞后, 而且它是随机发生的. 本文采用满足 Bernoulli 分布随机变量来描述测量数据的这种随机时延. 利用线性矩阵不等式, 给出了全阶和降阶的滤波器存在的充分条件. 所设计的滤波器使得滤波误差系统是均方指数稳定且具有给定的H∞ 性能. 数值仿真表明设计方法的有效性.     

Robust exponential stabilization for network-based switched control systems

It has become a common practice to employ networks in control systems for connecting controllers and sensors/actuators on controlled plants and processes. A network-based switched control system, as a special case of networked control systems, is studied. Such a system is represented with network-induced delays and packet dropout as a switched delay system. Sufficient conditions for robust exponential stability are derived for a class of switching signals with average dwell time. A stabilization design for continuous-time, linear switched plant with nonlinear perturbation under a given communication network via a hybrid state feedback controller is proposed. A hybrid controller design is network-dependent and given in terms of linear matrix inequalities.     

Event-triggered controller design of nonlinear discrete-time networked control systems in T-S fuzzy model

This article is concerned with event-triggered fuzzy control design for a class of discrete-time nonlinear networked control systems (NCSs) with time-varying communication delays. Firstly, a more general mixed event-triggering scheme (ETS) is proposed. Secondly, considering the effects of the ETS and communication delays, based on the T-S fuzzy model scheme and time delay system approach, the original nonlinear NCSs is reformulated as a new event-triggered networked T-S fuzzy systems with interval time-varying delays. Sufficient conditions for uniform ultimately bound (UUB) stability are established in terms of linear matrix inequalities (LMIs). In particular, the quantitative relation between the boundness of the stability region and the triggering parameters are studied in detail. Thirdly, a relative ETS is also provided, which can be seen as a special case of the above proposed mixed ETS. As a difference from the preceding results, sufficient conditions on the existence of desired fuzzy controller are derived to ensure the asymptotic stability of the closed-loop system with reduced communication frequency between sensors and controllers. Moreover, a co-design algorithm for simultaneously determining the gain matrices of the fuzzy controller and the triggering parameters is developed. Finally, two illustrative examples are presented to demonstrate the advantage of the proposed ETS and the effectiveness of the controller design method.