Structural damage detection using eigenstructure assignment method and LMIs technique
Existence of structural damage in engineering structures will greatly influence the overall performance of the structure or even lead to disastrous consequences.Therefore,the ability to determine whether a structure is healthy or damaged,and if it is damaged,where the damage is,has become increasingly important from life-safety and economic viewpoints.In this paper,the detection filter theory,which is also called Beard-Jones detection filters(BJDT),is further developed.The observer-based detection filter relies on the idealized mathematical model of the system.In practice,this assumption can never be perfectly satisfied.System disturbances and sensor noise have to be considered in the filter design.In this paper,the eigenstructure assignment method and LMI technique are combined to design robust detection filter.The detection spaces,which play great roles in structural damage detection and isolation,are first determined.Then the eigenstructures of the detection spaces are carefully studied and then a set of stable eigenvalues are assigned to each detection space.After that,the freedom provided by the complementary space can be used to form linear matrix inequalities,which can be solved using LMI technique for the detection filter gain,such that the H∞ norm of the transfer function from disturbances to the output residual is bounded.The simulation example shows that the presented method can successfully perform real-time structural detection and isolation.
Structural damage detection eigenstructure assignment LMI
B. Chen S. Nagarajaiah
Ph.D.Student,Department of Civil & Environmental Engineering,Rice University,Houston,TX 77005,USA Professor,Department of Civil & Environmental Engineering and Department of Mechanical Engineering &
国际会议
The World Forum on Smart Materials and Smart Structures Technology(SMSST07)(2007年世界智能材料与智能结构技术论坛)
重庆·南京
英文
2007-05-01（万方平台首次上网日期，不代表论文的发表时间）