On stability and stabilization of periodic discrete-time systems with an application to satellite attitude control

Nikolaos Athanasopoulos, Mircea Lazar, Christoph Bohm, Frank Allgower

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
152 Downloads (Pure)

Abstract

An alternative stability analysis theorem for nonlinear periodic discrete-time systems is presented. The developed theorem offers a trade-off between conservatism and complexity of the corresponding stability test. In addition, it yields a tractable stabilizing controller synthesis method for linear periodic discrete-time systems subject to polytopic state and input constraints. It is proven that in this setting, the proposed synthesis method is strictly less conservative than available tractable synthesis methods. The application of the derived method to the satellite attitude control problem results in a large region of attraction.
Original languageEnglish
Pages (from-to)3190-3196
Number of pages7
JournalAutomatica
Volume50
Issue number12
Early online date26 Oct 2014
DOIs
Publication statusPublished - Dec 2014

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