计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
13期
26-30
,共5页
网络化系统%随机容错控制%Bernoulli随机变量序列%均方BIBO稳定%控制器设计
網絡化繫統%隨機容錯控製%Bernoulli隨機變量序列%均方BIBO穩定%控製器設計
망락화계통%수궤용착공제%Bernoulli수궤변량서렬%균방BIBO은정%공제기설계
networked systems%stochastic fault-tolerant control%Bernoulli random variable sequence%mean square BIBO sta-bility%controller design method
研究了具有均方BIBO稳定的网络化控制系统的随机容错控制及控制器设计问题。针对网络化控制系统的传感器失效故障和执行器失效故障均具有随机性这一现象，将传感器和执行器的故障建模为相互独立的Bernoulli随机变量序列；利用Lyapunov稳定性理论，结合线性矩阵不等式技术，通过对反馈增益矩阵的分解，得到了网络控制系统存在传感器失效故障和执行器失效故障情况下的均方BIBO稳定条件；基于该稳定条件给出了系统随机容错控制器的设计。以数值实例验证了该方法的有效性。
研究瞭具有均方BIBO穩定的網絡化控製繫統的隨機容錯控製及控製器設計問題。針對網絡化控製繫統的傳感器失效故障和執行器失效故障均具有隨機性這一現象，將傳感器和執行器的故障建模為相互獨立的Bernoulli隨機變量序列；利用Lyapunov穩定性理論，結閤線性矩陣不等式技術，通過對反饋增益矩陣的分解，得到瞭網絡控製繫統存在傳感器失效故障和執行器失效故障情況下的均方BIBO穩定條件；基于該穩定條件給齣瞭繫統隨機容錯控製器的設計。以數值實例驗證瞭該方法的有效性。
연구료구유균방BIBO은정적망락화공제계통적수궤용착공제급공제기설계문제。침대망락화공제계통적전감기실효고장화집행기실효고장균구유수궤성저일현상，장전감기화집행기적고장건모위상호독립적Bernoulli수궤변량서렬；이용Lyapunov은정성이론，결합선성구진불등식기술，통과대반궤증익구진적분해，득도료망락공제계통존재전감기실효고장화집행기실효고장정황하적균방BIBO은정조건；기우해은정조건급출료계통수궤용착공제기적설계。이수치실례험증료해방법적유효성。
The problem of stochastic fault-tolerant control and controller design for networked systems with mean square Bounded Input Bounded Output(BIBO)stability are investigated. Considering the random phenomenon of sensor failure and actuator failure, the random sensor failure and actuator failure are modeled as independent Bernoulli random variable sequence. Combined with linear matrix inequality technology and Lyapunov stability theory, by decomposing the feedback gain matrix, the mean square BIBO stability conditions under the system existence of sensor failure and actuator failure are obtained respectively. Based on the stability conditions, random fault-tolerant controller design of the system is given. Finally, the simulation example is given to demonstrate the effectiveness of design method.
