Stability Analysis of Networked Linear Systems for Multiple Sensors with Different Packet Loss Probabilities

A stability problem of the linear networked control systems(NCSs) with multisensor having differen data missing rates is investigated in this paper.Each sensor of the multiple sensor-controller communication channels is assumed to have an individual stochastic data missing rate.The stochastic data missing is described by a Bernoulli binary distribution.Sufficient conditions are given for the closed-loop linear NCS which is exponentially stable in the mean square sense as the existence of random multiple data missing.The stability problem could b disposed by the MATLAB linear matrix inequality(LMI) tool easily.A simulation case is provided to illustrat the validity of the presented LMI approach.     

一类连续切换系统的渐近稳定性

针对一类连续时变时滞切换系统,通过构造适当的Lyapunov函数,提供适当的能量函数.利用线性矩阵不等式方法,讨论系统的能量递减,证明该系统在任意切换下的稳定性.通过MATLAB数值仿真,结果表明该系统是渐近稳定的,表明该方法是有效的.     

一类非线性不确定时滞系统鲁棒控制器的设计

利用LMI方法,针对不确定时滞系统的鲁棒模糊控制器设计及稳定性,提出了基于T—S的模糊模型,得到了使系统渐近稳定且具有H∞-扰动抑制度的模糊状态反馈控制器存在的充分条件,此充分条件以线性矩阵不等式的形式给出,因而具有数值易解性．     

不确定系统的保性能可靠控制

针对不确定线性连续系统,研究了执行器失效情况下的保性能可靠控制问题.利用LMI给出了不确定线性系统对执行器故障具有渐近稳定性及可靠保性能的充分条件,进而讨论了参数不确定线性系统的保性能可靠控制器的设计问题.根据凸优化理论,给出了最优保性能可靠控制器的线性凸优化设计算法和设计步骤.采用所设计的可靠状态反馈控制器,当任意执行器出现故障时,闭环系统仍保持渐近稳定且保持原有的性能指标.     

Fault diagnosis for singular stochastic systems

This paper studies the fault diagnosis of singular stochastic systems. The probability distribution of output is measured by probability density functions (PDFs), which are modeled by a square root B-spline expansion. An adaptive nonlinear observer is proposed to estimate the size of the fault occurring in systems. Furthermore, the linear matrix inequality (LMI) approach is applied to establish sufficient conditions for the existence of the observer. Finally, the simulation results are given to indicate the method for diagnosing the fault.     

ROBUST DISSIPATIVE CONTROL FOR STATE-DELAYED SYSTEMS WITH DISSIPATIVE UNCERTAINTY

Introduction　　Since notion of a dissipative dynamical systemwas introduced by Willems[1] ,it has played a veryimportant role in system,circuit,network andcontrol engineering and theory.Dissipativeness isa generalization of the passivity in electrical net-works and other dynamical systems which dissipateenergy in some abstractsense.Applications of dis-sipativeness in the stability analysis of linear sys-tems with certain nonlinearfeedback were firstdis-cussed in Refs.[1 ,2 ]. The theory of d…     

基于拟T-S模糊模型的网络化控制系统稳定性分析

综合考虑网络化控制系统（NCS）出现时延和丢包问题,提出一种基于拟T-S模糊模型.以时延和丢包出现的概率作为隶属度,并根据丢包出现在系统中的不同环节,分别构造相应的系统模型,再利用线性矩阵不等式（LMI）方法证明系统的稳定性,并通过对一个二阶倒立摆系统的数值分析说明方法的可行性,从而为网络化控制系统的分析与设计提供了新方法.     

基于T-S模糊模型的Kawakami混沌系统的控制

研究了离散Kawakami混沌系统的模糊控制问题,利用单点模糊化、乘积推理和中心平均去模糊化模糊推理方法将Kawakami系统化为T-S模糊模型.在用T-S模糊模型重构了系统结构的基础上,利用反馈控制思想,借助于离散李亚普诺夫稳定性理论,给出了离散T-S模糊模型渐近稳定的充分条件,并设计出了相应的状态反馈控制器.利用线性矩阵不等式,进一步求出了模糊控制器的参数.仿真结果验证了该控制方法的有效性.     

基于线性矩阵不等式的船舶动力定位滑模控制

为了解决具有非线性和环境干扰的船舶动力定位系统的控制问题, 提出了一种基于线性矩阵不等式的滑模控制算法; 将跟踪误差设计为滑模函数, 设计线性矩阵不等式, 求解状态反馈增益; 基于二次型Lyapunov函数证明了闭环系统的稳定性; 设计切换函数, 使系统对不确定性和外加干扰具有较强的鲁棒性, 避免出现抖振现象; 对基于线性矩阵不等式的滑模控制器进行仿真, 计算出动力定位船舶在无扰动的匀速运动和有外界环境扰动的变速运动2种不同情况下的前进速度、横荡速度、艏向角速度、前进加速度、横荡加速度、艏向角加速度、前进控制力、横荡控制力和艏向控制力矩等; 分析了状态反馈增益线性矩阵、边界层、切换项增益等参数对控制性能的影响。研究结果表明: 采用基本滑模控制使前进速度达到期望值所需的上升时间为29s, 而新算法为15s, 节约了48.28%;采用基本滑模控制使横荡速度达到期望值所需的上升时间为24s, 而新算法为14s, 节约了41.67%;采用基本滑模控制使艏向角速度达到期望值所需的上升时间为13s, 而新算法为10s, 节约了23.08%。可见, 设计的控制器对有非线性和环境干扰的船舶动力定位系统都具有较强的鲁棒性, 具有控制输入连续、控制抖振小、不存在过高增益等特点。      

A novel approach to design robust fault detection filter for networked control systems

In this paper, an approach for designing robust fault detection filter (RFDF) of networked control systems (NCSs) with unknown inputs is studied. The design aims at implementing the optimal trade-off between robustness of unknown inputs (including the item produced by networked-induced delay) and sensitivity of fault. The key design issue is to introduce an optimal fault detection filter based on NCSs with the control law compensation as the reference residual model of NCSs and to formulate the RFDF design as a model-matching problem. By applying H _∞ optimization technique, linear matrix inequality (LMI) approach is given to solve the model-matching problem. The validity of the proposed approach is shown by a numerical example.      

Looper-tension <Emphasis Type="Italic">H</Emphasis><Subscript>∞</Subscript> control for hot strip finishing mills

The development of an innovative H _∞ controller for looper and tension control in hot strip finishing mills is traced based on approximately linearized model. This solution has been considered thanks to its well-known robustness and simplicity characteristics concerning disturbances’ attenuation. The controller is designed based on an optimal problem with linear matrix inequality (LMI) constraints, and the problem is solved by the mincx function of Matlab LMI Toolbox. Simulation results show the effectiveness of the proposed controller compared with conventional ones.     

不确定系统的鲁棒D控制

针对一类范数有界参数不确定线性连续系统,研究了使得闭环系统的所有极点均配置在给定部分扇形区域中的状态反馈控制器设计问题.基于线性矩阵不等式(LMI)处理方法,给出了不确定线性系统存在鲁棒D控制的充分条件,并利用使两个LMIs同时成立的可行解给出了状态反馈控制器的设计算法和设计步骤.最后,通过一算例验证了结果的正确性和有效性.     

考虑时滞作用下的车辆主动座椅悬架鲁棒H∞控制

利用鲁棒H∞控制理论为车辆座椅悬架模型设计输出反馈控制器,并且考虑了模型的不确定性和控制输入的时滞问题.建立了车辆座椅的三自由度运动微分方程,并转化为包括参数变化和控制延迟的状态方程和包括控制指标在内的控制模型.分析了系统可通过输出反馈鲁棒镇定的充分条件,并将该充分条件转化为线性矩阵不等式（LMI）问题,通过Matlab求解出用LMI构造的输出反馈控制律.建立仿真模型并以白噪声作为路面激励与被动控制、PID控制对比验证了在路面输入扰动作用下鲁棒控制器的有效性.     

Guaranteed Cost Iterative Learning Control for Multi-Phase Batch Processes

Batch process is a typical multi-phase process. Due to the interaction between the phases of the batch process, high precision control in a single phase cannot guarantee high precision control of the whole batch process. In order to solve this problem, the guaranteed cost iterative learning control (ILC) of multi-phase batch processes is studied in this paper. Firstly, through introducing the output error, the state error and the extended information, the multi-phase batch process is transformed into an equivalent 2D switched system which has different dimensions. In addition, under the measurable condition, the guaranteed cost iterative learning control law with extended information is designed. The proposed control law ensures not only the stability of the system but also the optimal control performance. Next, in order to study the stability of the system and the minimum running time under the condition of stable running, the multi-Lyapunov function method is used. By means of the average dwell time method, the sufficient conditions ensuring system to be exponentially stable are given in the form of linear matrix inequality (LMI). Finally, the injection molding process is taken as an example to make simulation, which shows the feasibility and effectiveness of the proposed method.     

一类时间滞后关联大系统的全局指数稳定性

利用M-矩阵理论，通过构造适当的向量李雅普诺夫函数，研究一类具有时变时间滞后的线性关联大系统的全局指数稳定性．在时间滞后连续且有界的条件下，通过分析具有时间滞后的微分不等式的稳定性，得到了该类大系统全局指数稳定的一个判据．该判据利用大系统的系数矩阵以及与大系统关联的李雅普诺夫矩阵方程的解构造判定矩阵，根据判定矩阵是否为M-矩阵判定大系统的全局指数稳定性．该判据计算简便，且与时间滞后量无关，便于应用．     

Sliding mode robust fault-tolerant control for uncertain systems with time delay

Considering the modeling uncertainties and external disturbance, a kind of sliding mode robust H∞fault-tolerant control method for time delay system with actuator fault is proposed. The upper-bound of the uncertainties is considered as a known constant, while the upper-bound of the actuator fault is unknown. A sufficient condition for the existence of an integral sliding mode dynamics is given in terms of linear matrix inequality(LMI). A novel adaptive law is given to estimate the unknown upper-bound of faults. On this basis, a type of sliding mode robust H∞fault-tolerant control law is designed to guarantee the asymptotic stability and the H_∞ performance index of the system. Finally, the simulation on quad-rotor semi-physical platform demonstrates the reliability and validity of the method.     

PASSIVE CONTROL FOR A CLASS OF UNCERTAIN TIME-DELAY SYSTEMS

Introduction　　 Control of time- delay systems has been an at-tractive field in control theory and applicationssince the time- delay systems are frequently en-countered in the real world.They are much differ-ent from their non- delay counterparts.For exam-ple,it is well known that the existence of delaysmay degrade the respond of the closed- loop sys-tems,or even induce instability[1] .Hence,theavailable results of non- delay sytems can notbe di-rectly applied to time- delay systems in genera…     

时变离散系统的稳定性

利用最大Ｌｉａｐｕｎｏｖ函数的方法研究时变离散系统的稳定性,并给出了线性和非线性时变离散系统的零解为一致稳定的若干代数条件,改进了已有文献的相应结果。     

Controllability, Observability and Stability for a Class of Fractional-Order Linear Time-Invariant Control Systems

IntroductionThe concepts of controllability and observabil-ity,introduced by Kalman[1] ,are of extreme im-portance in control theory and engineering. Thereal objects are generally fractional[2 ] ,however,the control systems used so far are all consideredas integer- order systems.Disregarding the real or-der of the systems was caused mainly by the com-plexity and the absence of adequate mathematicaltools.The fractional calculus theory was devel-oped by a lotof mathematicians and the applicatio…     

混杂系统稳定性条件扩展及等价分析

分析混杂系统的稳定性,将经典Lyapunov稳定性理论进行了扩展,给出了一类切换混杂系统的稳定性判据.基于此稳定性判据给出了特定形式的Lyapunov函数,并把系统稳定性问题等价转化为了线性矩阵不等式的求解问题,为准确判断混杂动态系统的稳定性提供了依据.通过仿真实例验证了结论的正确性以及分析方法的有效性.