Constrained Control for Spacecraft Rendezvous System With Multiple Input Delays

This paper studies the stability of the spacecraft rendezvous system with asymmetric input saturation and multiple input delay based on the parametric Riccati equation. The input delay is arbitrarily large and bounded. The asymmetric input saturated system is converted to a switched system with symmetric input saturation for the stability analysis. The low gain feedback controller is designed to ensure the stability of the closed-loop system and to settle the problems of the asymmetric input saturation and multiple input delays. The simulation results illustrate the effectiveness of the theoretical results.