Fuzzy sliding mode control based-fast finite-time projective synchronization for fractional-order chaotic systems

被引：0

作者：

Boulkroune, Abdesselem ^{[1
]}

Bouzeriba, Amel ^{[1
]}

Boubellouta, Amina ^{[1
]}

机构：

[1] Univ Jijel, LAJ Lab, BP 98, Ouled Aissa 18000, Jijel, Algeria

来源：

ARCHIVES OF CONTROL SCIENCES | 2024年 / 34卷 / 03期

关键词：

finite-time projective synchronization; chaotic systems with fractional-orders; fuzzy systems; sliding mode control; NONLINEAR-SYSTEMS; ADAPTIVE-CONTROL; NEURAL-NETWORKS; STABILIZATION; OBSERVER; DESIGN;

D O I：

10.24425/acs.2024.149668

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study explores the challenge of achieving a fast finite-time projective synchronization (FFTPS) in chaotic systems characterized by incommensurate fractional orders, unknown master-slave models, and uncertain external disturbances. Utilizing the principles of Lyapunov stability theory, two fuzzy sliding mode control (FSMC) schemes are proposed. Accordingly, two novel non-singular finite-time sliding surfaces are constructed. Fuzzy logic systems are utilized to provide an approximation of the continuous uncertain dynamics within the master-slave system. The sufficient conditions for both controllers are derived to ensure this robust FFTPS. Finally, the proposed controllers are validated through numerical simulations on two projective synchronization examples of fractional-order chaotic systems, demonstrating their feasibility.

引用

页码：473 / 500

页数：28

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