Observer-based stabilization of spacecraft rendezvous with variable sampling and sensor nonlinearity
Journal article, Peer reviewed
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Original versionLi, Z. h., Liu, M., Karimi, H. R., & Cao, X. (2013). Observer-based stabilization of spacecraft rendezvous with variable sampling and sensor nonlinearity. Mathematical Problems in Engineering, 2013, 1-11. doi: 10.1155/2013/902452 10.1155/2013/902452
This paper addresses the observer-based control problem of spacecraft rendezvous with nonuniform sampling period. The relative dynamic model is based on the classical Clohessy-Wiltshire equation, and sensor nonlinearity and sampling are considered together in a unified framework. The purpose of this paper is to perform an observer-based controller synthesis by using sampled and saturated output measurements, such that the resulting closed-loop system is exponentially stable. A time-dependent Lyapunov functional is developed which depends on time and the upper bound of the sampling period and also does not grow along the input update times. The controller design problem is solved in terms of the linear matrix inequality method, and the obtained results are less conservative than using the traditional Lyapunov functionals. Finally, a numerical simulation example is built to show the validity of the developed sampled-data control strategy.
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/902452 Open Access