Nonlinear backstepping control of multibody aerodynamic systems with equational modeling

The motion of typical aerodynamic systems can be simplified as the rigid multibody dynamics, such as applications on the vehicle dynamics and flight dynamics. The multibody dynamics represents the interaction among the individuals with large translational and rotational displacements. In the presence of parametric and nonparametric uncertainties, the stability issue is extremely critical to nonlinear control design of the multibody dynamic systems. Backstepping control acts as an engineering technique to stabilize controls for nonlinear dynamical systems, which is regardless of operating points. It decomposes complex nonlinear systems into a series of subsystems, where candidate Lyapunov functions and virtual controls can be employed. As the approaches for designing the controllers vary significantly, this research is intended to derive and simplify the fundamental approach for aerodynamic nonlinear systems via the nonlinear backstepping approach.