Abstract
This paper has proposed a discrete gain scheduling output tracking control method for the homing phase of the spacecraft rendezvous based on the parametric Lyapunov equation. Considering the actuator saturation, output tracking and the partial loss of thruster effectiveness, we establish a relative dynamic model based on C-W equation and transform the orbital transfer control problem into a stabilization problem. The proposed gain scheduling approach is to improve the state convergence rate by increasing the introduced parameters gradually and remove the affect of the partial loss of thruster effectiveness. To obtain the designed controller, we only need to solve a nonlinear equation. Numerical simulations illustrate the usefulness and effectiveness of the proposed method.
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