INS Strapdown Inertial Navigation Solving Using Fourth-Order Runge-Kutta Method

This article discusses the implementation of INS strapdown inertial navigation solving using the fourth-order Runge-Kutta method, accompanied by simulation data. It's important to note that INS strapdown inertial navigation is an inertial navigation system that determines position, velocity, and orientation by measuring acceleration and angular velocity. The fourth-order Runge-Kutta method is a widely-used numerical approach for solving differential equations, transforming them into discrete difference equations for computation. In code implementation, the Runge-Kutta method typically involves four slope calculations at different points within each time step, providing higher accuracy than lower-order methods. For INS navigation algorithms, this method effectively handles the integration of gyroscope and accelerometer data to update attitude, velocity, and position matrices. By employing this method, INS strapdown inertial navigation data can be solved with greater accuracy, thereby enhancing the precision and reliability of the navigation system. The simulation analysis helps validate system performance and reliability, providing strong support for practical applications through quantitative evaluation of algorithm behavior under various scenarios.