Stability Analysis of Nonlinear Dynamic Inversion Controller Applied to Winged Rocket

Abstract

Space transportation systems have recently become an active area of development all over the world. Future reusable space transportation systems must possess good stability performance to compensate for the variations in flight conditions. One of the key technologies used for the development of a high performance controller for nonlinear dynamics systems is a dynamic inversion that transforms a nonlinear system into a linear one with pseudo inputs and outputs. It is quite an effective method to control nonlinear systems, and justifies the reason why many advanced aerospace vehicles employ a dynamic inversion controller. In this paper, vector analysis, state trajectory, Lyapunov exponent, and time series analyses results of the Proportional-Derivative (PD) and Dynamic Inversion (DI) control laws will be compared.