摘要
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。
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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2014年第9期1819-1825,共7页
Systems Engineering and Electronics
基金
国家自然科学基金(61273087)
江苏高等学校优秀科技创新团队资助课题
关键词
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
robust fault detection
Markovian jump systems
partly unknown transition probabilities
free-connection weighting matriees
linear matrix inequalities （LMIs）
