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- Title
Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach.
- Authors
Zhuoshi Li; Ming Liu; Karimi, Hamid Reza; Xibin Cao
- 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.
- Subjects
DISCRETE-time systems; CONTROL theory (Engineering); SPACECRAFT computers; ORBITAL rendezvous (Space flight); DISCONTINUOUS functions; LYAPUNOV functions
- Publication
Mathematical Problems in Engineering, 2013, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2013/814271