Constrained stabilization of periodic discrete-time systems via periodic Lyapunov functions

Nikolaos Athanasopoulos, Mircea Lazar, Christoph Bohm, Frank Allgower

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)
132 Downloads (Pure)

Abstract

This article considers the problem of constrained stabilization of periodically time-varying discrete-time systems, or shortly, periodic systems. A modification of a recent result on periodic Lyapunov functions, which are required to decrease at every period rather than at every time instant, is exploited to obtain a new stabilizing controller synthesis method for periodic systems. We demonstrate that for the relevant class of linear periodic systems subject to polytopic state and input constraints, the developed synthesis method is advantageous compared to the standard Lyapunov synthesis method. An illustrative example demonstrates the effectiveness of the proposed method.

Original languageEnglish
Title of host publication5th IFAC International Workshop on Periodic Control Systems
PublisherElsevier BV
Pages17-22
ISBN (Print)978-3-902823-38-0
DOIs
Publication statusPublished - 2013

Publication series

NameIFAC Proceedings Volumes
PublisherElsevier
Number12
Volume46
ISSN (Electronic)1474-6670

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  • Cite this

    Athanasopoulos, N., Lazar, M., Bohm, C., & Allgower, F. (2013). Constrained stabilization of periodic discrete-time systems via periodic Lyapunov functions. In 5th IFAC International Workshop on Periodic Control Systems (pp. 17-22). (IFAC Proceedings Volumes; Vol. 46, No. 12). Elsevier BV. https://doi.org/10.3182/20130703-3-FR-4039.00003