Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach

Abstract EN

This paper investigates the sampled-data stabilization problem of spacecraft relative positional holding withimproved Lyapunov function approach.

The classical Clohessy-Wiltshire equation is adopted to describe the relativedynamic model.

The relative position holding problem is converted into an output tracking control problem usingsampling signals.

A time-dependent discontinuous Lyapunov functionals approach is developed, which will lead toessentially less conservative results for the stability analysis and controller design of the corresponding closed-loopsystem.

Sufficient conditions for the exponential stability analysis and the existence of the proposed controllerare provided, respectively.

Finally, a simulation result is established to illustrate the effectiveness of the proposedcontrol scheme.