Angular rate stabilization using fixed-time continuous sliding mode control

This paper proposes a novel fault-tolerant control algorithm for angular rate stabilization of satellite system. The control algorithm belongs to the class of super-twisting sliding mode control theorem applicable to relative degree one systems which ensures chattering free control input and also finite-time convergence. Lyapunov stability theorem is used to prove finite-time stability of the closed loop system under designed control input. The expression of convergence time is calculated and is found to be independent of initial conditions. Numerical simulations verify the effectiveness of the proposed control algorithm.