Trajectory tracking problem based-on output feedback control for linear systems with actuator jumping fault and its application in orbit maneuvering

The trajectory tracking control problems for linear systems with actuator jumping fault is studied in this paper. The main contribution is that it is obtained the complete parametric expression of the controller for the systems. The existence condition of the controller is deduced based on the Lyapunov stability theory. A linear matrix inequality method is used for the output feedback control law which is synchronously switched with the mode of the fault that make the systems stochastically stable. Based on the theory of the generalized Sylvester equations, a parametric method is established for the output model reference tracking problem. The controller is simulated under the spacecrafts rendezvous task which is about the two spacecrafts running on a circular orbit. The simulation results show the effectiveness of the proposed approaches.