Robust stabilization of constrained uncertain continuous-time fractional positive systems

Robust stabilization of constrained uncertain continuous-time fractional positive systems

The robust stabilization problem is solved for uncertain fractional linear continuous-time systems having bounded asymmetric control, with additional condition of non-negativity of the states. The synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. A...

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Veröffentlicht in:Journal of the Franklin Institute 2015-01, Vol.352 (1), p.259-270
Hauptverfasser: Mesquine, F., Hmamed, A., Benhayoun, M., Benzaouia, A., Tadeo, F.
Format: Artikel
Sprache:eng
Schlagworte:
Asymmetry
Constraints
Control systems
Controllers
Mathematical analysis
Robust stabilization
Synthesis
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Zusammenfassung:The robust stabilization problem is solved for uncertain fractional linear continuous-time systems having bounded asymmetric control, with additional condition of non-negativity of the states. The synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. An illustrative example is provided to show the usefulness of the results.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2014.10.023