Hypersonic Vehicle Course Project: 6-DOF Modeling with Pole Placement, LQR, and H-infinity Control Simulations

In the hypersonic vehicle course project, we developed a comprehensive six-degree-of-freedom (6-DOF) model that accurately captures the aircraft's motion dynamics and flight characteristics. The modeling implementation involved defining state-space equations accounting for translational and rotational motions across all axes. For control system design, we implemented three distinct approaches: pole placement technique for direct eigenvalue assignment using state feedback gain calculation, Linear Quadratic Regulator (LQR) control with optimal weighting matrices for energy-efficient performance, and H-infinity control for robust stability optimization against uncertainties. Our simulations revealed that pole placement control significantly enhances vehicle stability and control performance through precise eigenvalue positioning. The LQR controller demonstrated superior energy optimization capabilities while maintaining high control accuracy through quadratic cost minimization. The H-infinity control approach proved particularly effective in enhancing system robustness, improving disturbance rejection, and adapting to varying flight conditions via worst-case disturbance attenuation. These simulation experiments provided deep insights into key hypersonic vehicle control technologies, establishing a solid foundation for future research and practical applications. The MATLAB/Simulink implementations included real-time parameter tuning and performance comparison modules for comprehensive analysis.