Control of an Upper-Stage Rocket with Partially Filled Fuel Tanks via Takagi-Sugeno Fuzzy Model

This paper investigates the attitude stability of an upper-stage rocket equipped with a thrust control system and a reaction wheel via a fuzzy control technique. The upper-stage rocket is subject to disturbances due to fuel sloshing in its tanks. Two types of fuzzy controllers are presented. The proposed techniques solve the problems of actuators’ constraints. The Takagi-Sugeno (T-S) fuzzy model, in conjunction with the Parallel Distributed Compensation technique (PDC), is used to obtain the fuzzy feedback control law. The controller design is presented as an optimization problem in the form of Linear Matrix Inequalities (LMI). The proposed controller’s performance and stability are analyzed via numerical simulation.