A real-time approach for damage identification using hyperchaotic probe and stochastic estimation

A real-time damage identification approach using an extended Kalman–Bucy filter is proposed for identification and real-time monitoring of damage-induced changes which is applicable both as a vibration-based technique and as a guided-wave technique for structural health monitoring. The proposed approach makes use of the intrinsic hypersensitivity of hyperchaotic systems to subtle changes in system parameters by applying the augmented state method along with an optimal filtering problem to provide simultaneous estimation of the states and parameters of a (possibly) nonlinear structural system driven by a tuned hyperchaotic excitation in order to monitor damage-induced changes. The proposed approach can also be employed for guided-wave structural health monitoring by discretizing the governing partial differential equation to obtain a process model in the context of optimal filtering problem, and thus to estimate the transmitted hyperchaotic wave and model parameters. Numerical simulation shows that the proposed approach is capable of real-time identification of reduction in elastic modulus of an isotropic beam.