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Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems
Author(s) -
Mofid Omid,
Mobayen Saleh,
Khooban MohammadHassan
Publication year - 2019
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2965
Subject(s) - control theory (sociology) , chaotic , synchronization of chaos , synchronization (alternating current) , observer (physics) , lyapunov stability , mathematics , disturbance (geology) , convergence (economics) , stability (learning theory) , sliding mode control , adaptive control , lyapunov function , mode (computer interface) , computer science , control (management) , nonlinear system , topology (electrical circuits) , physics , artificial intelligence , operating system , combinatorics , quantum mechanics , machine learning , economics , biology , economic growth , paleontology
Summary In this paper, a fractional‐order Dadras‐Momeni chaotic system in a class of three‐dimensional autonomous differential equations has been considered. Later, a design technique of adaptive sliding mode disturbance‐observer for synchronization of a fractional‐order Dadras‐Momeni chaotic system with time‐varying disturbances is presented. Applying the Lyapunov stability theory, the suggested control technique fulfils that the states of the fractional‐order master and slave chaotic systems are synchronized hastily. While the upper bounds of disturbances are unknown, an adaptive regulation scheme is advised to estimate them. The recommended disturbance‐observer realizes the convergence of the disturbance approximation error to the origin. Finally, simulation results are presented in one example to demonstrate the efficiency of the offered scheme on the fractional‐order Dadras‐Momeni chaotic system in the existence of external disturbances.