Damage detection in nonlinear systems using system augmentation and generalized minimum rank perturbation theory

System Augmentation and Matrix Updating for Damage Detection in Nonlinear Systems

A damage detection method is developed for nonlinear systems using model updating. The method uses a nonlinear discrete model of the system and the form of the nonlinearities to create an augmented linear model of the system. A modal analysis technique that uses forcing that is known but not prescribed is then used to solve for the modal properties of the augmented linear system after the onset...

Sensor Placement for Damage Detection in Nonlinear Systems Using System Augmentations

Currently, most sensor placement methodologies are focused on maximizing the controllability and observability of the monitored structure. Recently, there have been several sensor placement techniques proposed for damage detection. Thework herein provides an integrated sensor placement and reduced-order health assessment approach that can be applied to both linear and nonlinear structures. The ...

Fault Detection Based on Type 2 Fuzzy system for Single-Rod Electrohydraulic Actuator

Electro-hydraulic systems with regards to the their specific features and applications among other industrial systems including mechanical, electrical and pneumatic systems, have been widely taken into consideration by the scientists and researchers. Due to the fact that the electro-hydraulic system is inherently a nonlinear system, has some problems such as signals saturation, nonlinear effici...

Solving infinite system of nonlinear integral equations by using ‎F-‎generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation.

In this article to prove existence of solution of infinite system of nonlinear integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir-Keeler condensing operators which is named as F-generalized Meir-Keeler condensing operators and measure of noncompactness, we...

On Solving Linear Diophantine Systems Using Generalized Rosser's Algorithm