Discrete-time attitude stabilization of reusable reentry vehicle by convex optimization

Abstract

This article addresses the attitude stabilization control of reusable reentry vehicle subjected to parametric variations and environmental perturbations. The nonlinear kinematic model of the vehicle is discretized and bluethen linearized using the global feedback linearization. A discrete time linear quadratic regulator with proportional-integral gain and disturbance rejection (LQRPI + D) is proposed to stabilized the system. The control formulation is based on convex optimization feasibility problem in terms of the linear matrix inequality. As illustrated by numerical simulations, the proposed technique provides better results compared to some existing methods.