Document Type : Original Article

Author

• Zahra Sadat Aghayan

Garmsar university

Abstract

This paper proposes a non-fragile output-feedback control strategy for achieving master-slave synchronization of uncertain fractional-order Lur'e systems (FOLSs) subject to time-varying input delays. The proposed controller guarantees asymptotic convergence of the synchronization error to zero, even in the presence of parametric uncertainties within the system and gain variations in the controller implementation. Sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities (LMIs) based on fractional-order stability criteria. The effectiveness and practical applicability of the proposed approach are demonstrated through numerical simulations performed on an uncertain fractional-order Chua's circuit, which confirm its robustness.

Keywords

• Fractional-order systems
• Master-slave synchronization
• Non-fragile control
• Output-feedback control
• Time-varying input delay

Main Subjects

• Chaos suppression and synchronization