Mathematical Modeling of a Robotic Based Vacuum Cleaning System : LAP Lambert Academic Publishing : 9786200316004 : 6200316007 : 13 Sep 2019 : This Book presents a research work on a mathematical modeling of a robotic based system for cleaning a room. Specifically, it narrowed down to a Robot Vacuum Cleaner (RVC), a class of personal/domestic robot used for cleaning the floor of a room. The electricity consumption and the kinematics of the RVC were two of the many problems addressed in this study using an ODE and a simple Matrix equation. The equations were simulated with MATLAB to ascertain its validity. Subsequently, the results obtained for the tricycle like RVC could be used in an effective cleaning of both simple and complex room settings and environment. Thus, the study showed improvement over existing system with potential to reduce the complaint of users and increasing its value demand in the market.