MATLAB Simulation and Analysis of Quadcopter Dynamics

This technical document presents a MATLAB-based simulation framework for quadcopter dynamic analysis. The model incorporates key subsystem components including BLDC motor dynamics with PID controllers, camera gimbal stabilization systems, and lithium-polymer battery power management. The simulation implements mathematical models using Euler angles and quaternion representations for attitude determination, coupled with Newton-Euler equations for flight dynamics.

The simulation environment subjects the quadcopter to various flight scenario tests through MATLAB's Simulink interface, incorporating wind disturbance models and payload variations. The code structure utilizes Stateflow for mode transitions and includes sensor fusion algorithms for IMU data processing. Flight path generation employs waypoint navigation algorithms with cubic spline interpolation for smooth trajectory planning.

Simulation results demonstrate robust stability maintenance under turbulent conditions achieved through adaptive PID gain scheduling in the control algorithm. Power analysis reveals optimal battery capacity requirements using discharge characteristic curves, with energy consumption models predicting flight endurance. The control system implementation features cascaded PID loops for attitude and position control, with stability margins verified through Bode plot analysis.

This study provides critical insights into quadcopter performance optimization through model-based design approaches. The MATLAB implementation serves as a foundational framework for further development of autonomous flight algorithms and hardware-in-loop testing methodologies, emphasizing the importance of comprehensive simulation in ensuring operational safety and performance reliability.