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A SEPARATION PRINCIPLE FOR THE STABILISATION OF A CLASS OF FRACTIONAL ORDER TIME DELAY NONLINEAR SYSTEMS

Part of: Stability Control systems

Published online by Cambridge University Press:  30 August 2018

NADHEM ECHI Open the ORCID record for NADHEM ECHI [Opens in a new window] ,
IMED BASDOURI  and
HANEN BENALI
NADHEM ECHI*
Affiliation:
Department of Mathematics, Faculty of Sciences, Gafsa University, Zarroug Gafsa 2112, Tunisia email nadhemechi_fsg@yahoo.fr
IMED BASDOURI
Affiliation:
Department of Mathematics, Faculty of Sciences, Gafsa University, Zarroug Gafsa 2112, Tunisia email basdourimed@yahoo.fr
HANEN BENALI
Affiliation:
Department of Mathematics, Faculty of Sciences, Sfax University, BP 1171, Sfax 3000, Tunisia email hanenbenali2017@yahoo.com
*
✉nadhemechi_fsg@yahoo.fr
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Abstract

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We establish a separation principle for a class of fractional order time-delay nonlinear differential systems. We show that a nonlinear time-delay observer is globally convergent and give sufficient conditions under which the observer-based controller stabilises the system.

Keywords

Riemann–Liouville fractional systemnonlinear time delay systemobserver designasymptotical stabilityLyapunov functional

MSC classification

Primary: 93C10: Nonlinear systems
Secondary: 93D15: Stabilization of systems by feedback 93D20: Asymptotic stability
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 1 , February 2019 , pp. 161 - 173
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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