Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach

Zhuoshi Li, Ming Liu, Hamid Reza Karimi and Xibin Cao

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This paper investigates the sampled-data stabilization problem of spacecraft relative positional holding with improved Lyapunov function approach. The classical Clohessy-Wiltshire equation is adopted to describe the relative dynamic model. The relative position holding problem is converted into an output tracking control problem using sampling signals. A time-dependent discontinuous Lyapunov functionals approach is developed, which will lead to essentially less conservative results for the stability analysis and controller design of the corresponding closed-loop system. Sufficient conditions for the exponential stability analysis and the existence of the proposed controller are provided, respectively. Finally, a simulation result is established to illustrate the effectiveness of the proposed control scheme.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:814271

DOI: 10.1155/2013/814271

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