Numerical Solution for Linear State Space Systems using Haar Wavelets Method

Authors

Waleeda swaidan, Basic Sciences Division, College of Agricultural Engineering Sciences, University of Baghdad, Baghdad, IraqFollow
Haleema S. Ali, Department of Geophysics, College of Remote Sensing and Geophysics, Al-Karkh University, Baghdad, Iraq.Follow

Abstract

In this research, Haar wavelets method has been utilized to approximate a numerical solution for Linear state space systems. The solution technique is used Haar wavelet functions and Haar wavelet operational matrix with the operation to transform the state space system into a system of linear algebraic equations which can be resolved by MATLAB over an interval from 0 to . The exactness of the state variables can be enhanced by increasing the Haar wavelet resolution. The method has been applied for different examples and the simulation results have been illustrated in graphics and compared with the exact solution.

Keywords

Approximation solutions, Collocation points method, Haar wavelets, State system

Article Type

Article

How to Cite this Article

swaidan, Waleeda and Ali, Haleema S. (2022) "Numerical Solution for Linear State Space Systems using Haar Wavelets Method," Baghdad Science Journal: Vol. 19: Iss. 1, Article 16.
DOI: https://doi.org/10.21123/bsj.2022.19.1.0084