PD-like finite time controller with simple structure for satellite attitude control

Abstract

A finite time controller with PD-like structure for satellite attitude control is proposed in this paper. The controller is constructed with simple structure based on standard PD controller. The fractional order term is designed hence system could both have strong robustness and finite time convergence rate, and the advantage of finite time control and PD control is combined in this paper. System convergence rate is discussed by Lyapunov method, and the constraint on control parameters is given by implementing the coupled term of angular velocity and attitude quaternion. Moreover, the accuracy at steady stage depending on control parameters is given hence system could converge to this field within finite time. System stability and performance is demonstrated by numerical simulation results.