DISCRETE-TO-CONTINUOUS TRANSFORMATIONS ANALYSIS IN THE IMPLEMENTATION OF ARMAX (AUTOREGRESSIVE MOVING AVERAGE WITH EXOGENEOUS INPUT) MODELING ON VIBRATION SYSTEM PARAMETER ESTIMATION

• Main Author: BASKORO (NIM: 23114013), KUNTO
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/22852
• Institution: Institut Teknologi Bandung

One possible alternative of vibration system or structural dynamics system based on measured data is through ARMAX (AutoRegressive Moving Average with Exogeneous input) modeling. However, ARMAX model is defined in discrete time domain, whereas the true vibration system is defined in continuous time domain. Consequently, discrete-to-continous transformation needs to be performed on the resulting ARMAX model. <br /> <br /> <br /> MATLAB® has offered complete ARMAX modeling in one of its tool boxes. In addition, discret-to-continuous transformation is also available. However, we have three major choices, namely the zero order hold, first order hold, and tustin. In this thesis, analysis to obtain the best transformation is performed. <br /> <br /> <br /> The analysis is based on numerical simulation in MATLAB® for single degree of freedom vibration system. In this case, arbitrary underdamped and overdamped systems are employed. The simulation are repeated based on Monte Carlo scheme. Analysis results show that the best transformation is the zero order hold. This result agrees and support modeling based on measured data since the basic sampling principle of digital data acquisition is basically zero order hold.