MS Mathematical Modeling of Cyber-Physical Attacks on Water Tank Systems Using Sinusoidal and Stochastic Disturbance Signals

A Simulation-Based Approch for security Analysis in Cyber-Physical System

Abstract

Cyber-Physical Systems (CPS) play a vital role in managing real-world infrastructure, including water distribution systems. These systems bring together physical processes and computational control, but this integration also makes them easy to harm to cyber-attacks that can produce serious physical consequences. In this work, I developed a mathematical model to simulate how such an attack could disrupt a water tank system. The attack is represented using a combination of sine and cosine signals along with random noise to reflect both planned and unpredictable interference. By applying the fourth-order Runge-Kutta method, the model shows how these intrusions can destabilize the water level over time. The results highlight key weaknesses in CPS and emphasize the importance of using mathematical simulations to better understand and secure these systems