Sampled-data control of spacecraft rendezvous with discontinuous Lyapunov approach
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OriginalversjonLi, Z., Liu, M., Karimi, H. R., & Cao, X. (2013). Sampled-data control of spacecraft rendezvous with discontinuous Lyapunov approach. Mathematical Problems in Engineering, 2013, 1-10. doi: 10.1155/2013/814271 10.1155/2013/814271
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.
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/814271 Open Access