System Identification of Non-Linear System Using Gentic Algorithm for Development of Active Vibration Control Algorithm

Abstract

This work presented parametric linear estimation techniques for dynamicmodelling of an extremely nonlinear flexible plate system for thedevelopment of active vibration control. In this research, a simulation studyusing Finite Difference method (FDM) was developed to create the vibrationdata of flexible rectangular plate structure with all edges clamped (C-C-C-C)boundary conditions. A finite duration step input force was then applied toexcite the system at excitation point and the dynamic responses of thesystem at detection and observation points were investigated. Anautoregressive with exogenous inputs (ARX) model with the order of 10 wasproposed as a suitable model and the corresponding parameters werepredicted using Genetic Algorithm (GA). The algorithm attained a suitablemean square error of 0.00028 in the 117th generation. Finally, the validityof the obtained model was investigated using prediction and statisticalmeasurements. The parametric identification algorithm thus developed formsa suitable platform for the development of an active vibration controlstrategy for vibration suppression in the future work.