系统工程与电子技术
繫統工程與電子技術
계통공정여전자기술
SYSTEMS ENGINEERING AND ELECTRONICS
2014年
9期
1819-1825
,共7页
鲁棒故障检测%Markov 跳变系统%部分转移概率未知%自由连接权矩阵%线性矩阵不等式
魯棒故障檢測%Markov 跳變繫統%部分轉移概率未知%自由連接權矩陣%線性矩陣不等式
로봉고장검측%Markov 도변계통%부분전이개솔미지%자유련접권구진%선성구진불등식
robust fault detection%Markovian jump systems%partly unknown transition probabilities%free-connection weighting matrices%linear matrix inequalities (LMIs)
针对部分转移概率未知的 Markov 跳变系统，研究了其鲁棒故障检测问题，设计了该系统的线性全阶鲁棒故障检测观测器。将自由连接权矩阵引入鲁棒故障检测观测器系统进行证明推导，极大地降低了固定连接权矩阵带来的保守性。通过构造 Lyapunov 函数，推导得出一系列线性矩阵不等式以确保鲁棒故障检测观测器系统随机渐近稳定。在此基础上，证明并给出了观测器存在的充分条件。进一步，优化所设计的观测器。数值仿真表明，所设计的鲁棒故障检测观测器不仅对故障具有较高的灵敏度，而且能确保对未知干扰输入有较强的鲁棒性。
針對部分轉移概率未知的 Markov 跳變繫統，研究瞭其魯棒故障檢測問題，設計瞭該繫統的線性全階魯棒故障檢測觀測器。將自由連接權矩陣引入魯棒故障檢測觀測器繫統進行證明推導，極大地降低瞭固定連接權矩陣帶來的保守性。通過構造 Lyapunov 函數，推導得齣一繫列線性矩陣不等式以確保魯棒故障檢測觀測器繫統隨機漸近穩定。在此基礎上，證明併給齣瞭觀測器存在的充分條件。進一步，優化所設計的觀測器。數值倣真錶明，所設計的魯棒故障檢測觀測器不僅對故障具有較高的靈敏度，而且能確保對未知榦擾輸入有較彊的魯棒性。
침대부분전이개솔미지적 Markov 도변계통，연구료기로봉고장검측문제，설계료해계통적선성전계로봉고장검측관측기。장자유련접권구진인입로봉고장검측관측기계통진행증명추도，겁대지강저료고정련접권구진대래적보수성。통과구조 Lyapunov 함수，추도득출일계렬선성구진불등식이학보로봉고장검측관측기계통수궤점근은정。재차기출상，증명병급출료관측기존재적충분조건。진일보，우화소설계적관측기。수치방진표명，소설계적로봉고장검측관측기불부대고장구유교고적령민도，이차능학보대미지간우수입유교강적로봉성。
A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities.Free-connection weighting matrices are introduced to robust fault detection observer design,which reduces the conservatism caused by fixed-connection weighting matrices.A series of linear matrix inequalities (LMIs)which ensure the system’s stochastic asymptotic stability are obtained by using the constructed Lyapunov function.Based on that,a suffi-cient condition for the existence of the robust fault detection observer system is given and proved.Furthermore, an optimization design approach is also derived.A simulation example is given to show that the designed robust fault detection observer can not only detect the faults quickly and sensitively,but also respond robustly to un-known disturbances.
