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RESEARCH PRODUCT
Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach
Zhuoshi LiHamid Reza KarimiMing LiuXibin Caosubject
Lyapunov functionSpacecraftArticle Subjectbusiness.industryGeneral Mathematicslcsh:MathematicsGeneral EngineeringSampling (statistics)lcsh:QA1-939Stability (probability)symbols.namesakeExponential stabilityControl theoryPosition (vector)lcsh:TA1-2040symbolsLyapunov equationVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413businesslcsh:Engineering (General). Civil engineering (General)Mathematicsdescription
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 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Mathematical Problems in Engineering |