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This monograph assesses in depth the application of recursive Bayesian filters in structural health monitoring. Although the methods and algorithms used here are well established in the field of automatic control, their application in the realm of civil engineering has to date been limited. The monograph is therefore intended as a reference for structural and civil engineers who wish to conduct research in this field. To this end, the main notions underlying the families of Kalman and particle filters are scrutinized through explanations within the text and numerous numerical examples. The main limitations to their application in monitoring of high-rise buildings are discussed, and a remedy based on a synergy of reduced order modeling (based on proper orthogonal decomposition) and Bayesian estimation is proposed. The performance and effectiveness of the proposed algorithm is demonstrated via pseudo-experimental evaluations.

Orthogonal decompositions. --- Sensor networks. --- Structural health monitoring -- Mathematical models. --- Structural analysis (Engineering) --- Structural failures --- Structural dynamics --- Mathematics. --- Mathematical models. --- Collapse of structures --- Failures, Structural --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Engineering. --- Statistics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Building repair. --- Buildings --- Vibration, Dynamical Systems, Control. --- Signal, Image and Speech Processing. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Building Repair and Maintenance. --- Repair and reconstruction. --- Building reconstruction --- Building renovation --- Building repair --- Reconstruction of buildings --- Remodeling of buildings --- Renovation of buildings --- Maintenance --- Repairing --- Architecture --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Construction --- Industrial arts --- Technology --- Reconstruction --- Remodeling --- Renovation --- Protection --- Conservation and restoration --- Deformations (Mechanics) --- Fracture mechanics --- Reliability (Engineering) --- Safety factor in engineering --- Structural stability --- Structural engineering --- Building construction. --- Signal processing. --- Image processing. --- Speech processing systems. --- Statistics . --- Buildings—Repair and reconstruction. --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication)