计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
9期
17-20
,共4页
概率分布依赖%时滞拆分%网络化系统%随机容错设计
概率分佈依賴%時滯拆分%網絡化繫統%隨機容錯設計
개솔분포의뢰%시체탁분%망락화계통%수궤용착설계
depend on probability distribution%time-delay dividing%networked systems%random fault-tolerant design
针对网络控制系统的传感器、执行器和网络时延具有随机性这一现象，引入相互独立的Bernoulli随机变量序列作为传感器失效故障、执行器失效故障的开关矩阵，将时延的变化区间任意分成两个小区间，引进Bernoulli随机变量并将其概率分布引入到系统矩阵中，建立随机的网络化控制系统模型，研究了该系统存在传感器失效故障、执行器失效故障及二者同时失效故障情况下的随机容错控制问题。基于Lyapunov稳定性理论，结合线性矩阵不等式技术，给出了确保系统均方指数稳定的条件，该条件不仅依赖于时延的上下界，还依赖于时延的概率分布。数值实例说明结论是有效的。
針對網絡控製繫統的傳感器、執行器和網絡時延具有隨機性這一現象，引入相互獨立的Bernoulli隨機變量序列作為傳感器失效故障、執行器失效故障的開關矩陣，將時延的變化區間任意分成兩箇小區間，引進Bernoulli隨機變量併將其概率分佈引入到繫統矩陣中，建立隨機的網絡化控製繫統模型，研究瞭該繫統存在傳感器失效故障、執行器失效故障及二者同時失效故障情況下的隨機容錯控製問題。基于Lyapunov穩定性理論，結閤線性矩陣不等式技術，給齣瞭確保繫統均方指數穩定的條件，該條件不僅依賴于時延的上下界，還依賴于時延的概率分佈。數值實例說明結論是有效的。
침대망락공제계통적전감기、집행기화망락시연구유수궤성저일현상，인입상호독립적Bernoulli수궤변량서렬작위전감기실효고장、집행기실효고장적개관구진，장시연적변화구간임의분성량개소구간，인진Bernoulli수궤변량병장기개솔분포인입도계통구진중，건립수궤적망락화공제계통모형，연구료해계통존재전감기실효고장、집행기실효고장급이자동시실효고장정황하적수궤용착공제문제。기우Lyapunov은정성이론，결합선성구진불등식기술，급출료학보계통균방지수은정적조건，해조건불부의뢰우시연적상하계，환의뢰우시연적개솔분포。수치실례설명결론시유효적。
Considering the random phenomenon of sensor failure, actuator failure and networked time-delay, the indepen-dent Bernoulli random sequences as switching matrices of sensor failure, actuator failure are introduced. The time-delay’s variation interval is divided into two subintervals, introducing the Bernoulli random variation and transforming the proba-bility distribution into parameter matrices. The random networked control system modeled is constructed. The problem of random fault-tolerant control with the existence of sensor failure and actuator failure for the system is investigated. Based on Lyapunov stability theory, combined with linear matrix inequality technology, the conditions for this system to be expo-nential stable in mean square sense are derived. These conditions depend on time delays probability distribution as well, not just depend on time-delay’s maximum and minimum bounds. At the end, a numerical example is given to illustrate the validity of the main results.
