No-fragile H-infinity guaranteed cost control design for spacecraft rendezvous

In this paper, the robust no-fragile H-infinity guaranteed cost control problem is considered for spacecraft orbit rendezvous. By using Lyapunov stability theory and linear matrix inequality(LMI) technique, a sufficient condition is derived for H-infinity guaranteed cost control design of spacecraft orbit rendezvous, which is in the form of LMIs. The tipper hound of the control constraint and H-infinity performance index are both taken into consideration, giving rise to a new mixed performance index. Thus, a convex optimization problem with LMI constraints is obtained. The robust optimal no-fragile H-infinity guaranteed cost controller can be given via solving this constrained convex optimization problem. With this optimal controller, the spacecraft rendezvous mission can he accomplished successfully in the presence of external disturbances. numerical examples are given to demonstrate the effectiveness of the control design method proposed. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.