时变采样周期网络控制系统的鲁棒容错控制器设计

研究具有时变采样周期网络控制系统的执行器失效的完整性问题．假设系统任意两个连续采样间隔具有上界,利用输入时延法,将时变采样周期网络控制系统等价转化为连续时变时延网络控制系统．在此基础上,基于时延条件,应用Ｌｙａｐｕｎｏｖ稳定性理论和线性矩阵不等式（ＬＭＩｓ）方法证明了鲁棒容错控制律的存在条件,设计了鲁棒容错控制器,并给出了系统完整性条件下的最大允许时延的估计方法．仿真结果验证了所提方法的可行性和有效性．

     

一类丢包时延网络控制系统的鲁棒H∞ 滤波

用随机马尔可夫跳变系统描述一类具有丢包时延的网络控制系统．为这类网络控制系统设计马尔可夫跳变滤波器,保证了滤波误差系统均方意义下随机渐近稳定,且噪声信号对估计误差的影响低于指定H∞ 性能水平,滤波器参数可通过求解线性矩阵不等式得到．最后通过仿真实例验证了所得结论的正确性和滤波器设计方法的有效性．

     

一类随机时延网络控制系统的鲁棒容错控制

针对一类随机时延网络控制系统,引入网络节点有效阀值的思想,并基于T—S模糊模型的概念,建立了具有随机时延和通信约束的网络控制系统模型,提出了一种网络控制系统鲁棒容错控制策略。基于线性矩阵不等式可行解,给出了控制器的参数化表达式。仿真结果,验证了所提方法的有效性。     

一类不确定非线性切换系统的鲁棒容错控制

研究一类不确定非线性切换系统的鲁棒容错控制问题.当执行器失效或部分失效时,利用Lyapunov函数法建立切换闭环系统混杂状态反馈容错控制器存在的充分条件;然后运用线性矩阵不等式将鲁棒容错控制器设计问题转化为一组线性矩阵不等式的可行解问题,从而借助Matlab中线性矩阵不等式工具箱求解;最后通过数值算例验证了所提出设计方法的有效性.

     

基于划分时滞区间的一类Cohen-Grossberg神经网络的鲁棒稳定性

研究一类具有时变时滞及参数不确性的Cohen-Grossberg神经网络的鲁棒稳定性问题.应用划分时滞区间的思想构造了一个新的Lyapunov泛函,并以线性矩阵不等式的形式给出了平衡点全局鲁棒稳定性判据,新判据放松了时变时滞变化率必须小于1的限制.仿真结果进一步证明了所得结论的有效性.

     

资源受限的网络控制系统调度

结合具有多控制回路的网络控制系统框架结构,设计了反馈调度器以实现调度策略.根据控制性能最优化要求,分析了系统的可调度性.通过实时调整各控制回路的采样周期,采用优先级分配方法,在线优化多控制回路的网络控制系统性能.通过对3个控制回路组成的网络控制系统进行仿真实验,验证了可调度分析和调度策略的有效性.     

具有数据包丢失的网络控制系统主动容错控制

在保证稳定性的前提下,究具有数据包丢失的网络控制系统主动容错控制问题.基于一类包含马尔可夫丢包过程的网络控制系统模型,考虑了执行器可能失效的情况。利用Lyapunov稳定性理论和线性矩阵不等式方法,获得了系统的保性能被动容错控制器.从控制性能的角度考虑,针对不同的执行器失效模式,得到了丢包网络环境下系统的主动容错控制器的设计方法.数值示例表明,该控制器设计方法是有效的.

     

基于依参数Lyapunov函数的不确定系统鲁棒稳定控制

采用依参数Lyapunov函数方法,对一类含不确定参数的连续线性系统进行鲁棒稳定控制器设计.通过引入合适的松弛变量扩大参数寻优空间,从而降低系统设计的保守性.此外,为进一步增加系统设计的自由度,对上述松弛变量进行参数化,从而获得保守性更低的稳定条件.仿真结果表明,所提出的控制器设计方法与现有方法相比对不确定参数具有更好的鲁棒性.     

一类具有状态反馈犖犆犛的H∞ 优化控制

研究一类网络控制系统（ＮＣＳ）的H∞ 优化控制问题．状态反馈是兼顾系统性能和敏感性的最有效的控制方式,因此,针对一类不确定时延和有限能量干扰输入的状态反馈ＮＣＳ,将其建模为不确定的线性时滞系统,并利用Ｌｙａｐｕｎｏｖ理论和线性矩阵不等式（ＬＭＩ）研究H∞ 优化控制问题．首先给出ＮＣＳ的鲁棒稳定的充分条件;然后给出ＮＣＳ状态反馈次优和最优H∞ 控制律的设计方法．仿真结果表明了该方法的可行性和有效性．

     

H-infinity control for networked control systems (NCS) with time-varying delays

This paper discusses H-infin it y state feedback control for a networked control system with time-varying delays.Based on the free-weighing matri x method,a delay-dependent stability criterion satisfying a prescribed H-infini ty norm bound is presented for an NCS with unknown,time-varying and bounded del ays.And then,the criterion is transformed into suffici ent conditions based on linear matrix inequalities f or H-infinity control.The conditions thus obtained a re also used to design an H-infinity state feed back controller.This design method is further extend ed to solve the design problem of robust H-infin ity state feedback control.A numerical example demo nstrates the validity of the method.     

H-infinity control for networked control systems （NCS） with time-varying delays

1Introduction Ina networkedcontrol system(NCS),a communicationnetwork connects sensors,actuators and controllers.AnNCS has many advantages over the point_to_pointcommunication of traditional control systems:fast and easymaintenance,low cost,greater flexibility,etc.Therefore,NCSs are increasingly being usedfor industrial control in avariety of fields[1,2].On the other hand,control loopsonthe communication network are closedin an NCS.Thetime delays that occur when information is transmitte…     

时变采样周期网络控制系统的鲁棒容错控制器设计

研究具有时变采样周期网络控制系统的执行器失效的完整性问题．假设系统任意两个连续采样间隔具有上界,利用输入时延法,将时变采样周期网络控制系统等价转化为连续时变时延网络控制系统．在此基础上,基于时延条件,应用Ｌｙａｐｕｎｏｖ稳定性理论和线性矩阵不等式（ＬＭＩｓ）方法证明了鲁棒容错控制律的存在条件,设计了鲁棒容错控制器,并给出了系统完整性条件下的最大允许时延的估计方法．仿真结果验证了所提方法的可行性和有效性．     

具有传感器故障的网络控制系统保性能可靠控制

基于存在时延和丢包的网络传输环境.针对具有参数不确定性的网络化控制系统,研究了其在传感器故障条件下的保性能可靠控制问题.根据Lyapunov稳定性理论和线性矩阵不等式(LMIs)方法,推导出使闭环网络控制系统在传感器故障条件下渐近稳定且保证综合性能指标满足要求的充分条件,并利用LMIs提出了保性能可靠控制率的设计方法.该控制算法在提高网络化控制系统可靠性的同时有利于系统综合体性能的优化.数值仿真验证了该方法的可行性和有效性.     

Stability analysis of networked control systems with time-varying sampling periods

In this paper, we present an interval model of networked control systems with time-varying sampling periods and time-varying network-induced delays and discuss the problem of stability of networked control systems using Lyapunov stability theory. A sufficient stability condition is obtained by solving a set of linear matrix inequalities. In the end, the illustrative example demonstrates the correctness and effectiveness of the proposed approach.     

On polytopic inclusions as a modeling framework for systems with time-varying delays

One of the important issues in networked control systems is the appropriate handling of the nonlinearities arising from uncertain time-varying delays. In this paper, using the Cayley-Hamilton theorem, we develop a novel method for creating discrete-time models of linear systems with time-varying input delays based on polytopic inclusions. The proposed method is compared with existing approaches in terms of conservativeness, scalability and suitability for controller synthesis.     

一类具有变时滞不确定分布参数系统的滑动模控制

研究一类不确定变时滞分布参数系统的滑动模控制问题．首先设计一种无记忆功能的变结构控制器;然后分析了在滑动模切换面上滑动模控制系统关于不确定量的不变性特征;最后给出了从任意初始位置出发的轨线到达滑动模态区的时间估计．研究表明,所设计的控制器结构简单．容易实现．     

Robustness analysis and distributed control of a networked system with time-varying delays

This paper is concerned with the robustness analysis and distributed output feedback control of a networked system with uncertain time-varying communication delays. This system consists of a collection of linear time-invariant subsystems that are spatially interconnected via an arbitrary directed network. Using a dissipation inequality that incorporates dynamic hard IQCs (integral quadratic constraints) for the delay uncertainties, we derive some sufficient robustness conditions in the form of coupled linear matrix inequalities, in which the coupled parts reflect the interconnection structure of the system. We then provide a procedure to construct a distributed controller to ensure the robust stability of the closed-loop system and to achieve a prescribed $ell_2$-gain performance. The effectiveness of the proposed approach is demonstrated by some numerical examples.     

New results on robust H-infinity control for discrete-time systems with interval time-varying delays

This paper deals with delay-dependent robust H-infinity control for uncertain discrete-time systems with interval time-varying delay. By using a new Lyapunov functional and the convex combination method, a new delay-dependent stability criterion is established. Some redundant variable matrices are removed in the new conditions, which makes the obtained results more efficient. Then, an iterative algorithm based on the cone complementarity Linearization method is proposed to obtain the delay-dependent robust H-infinity controller. Numerical examples are given to show the effectiveness of the proposed method.