Premium
Hybrid control of synchronization of fractional order nonlinear systems
Author(s) -
Mohadeszadeh Milad,
Pariz Naser
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2269
Subject(s) - control theory (sociology) , synchronization (alternating current) , lyapunov function , controller (irrigation) , nonlinear system , sliding mode control , mathematics , function (biology) , integer (computer science) , lyapunov stability , computer science , control (management) , topology (electrical circuits) , artificial intelligence , quantum mechanics , physics , combinatorics , evolutionary biology , agronomy , biology , programming language
Under the existence of model uncertainties and external disturbance, finite‐time projective synchronization between two identical complex and two identical real fractional‐order (FO) chaotic systems are achieved by employing FO sliding mode control approach. In this paper, to ensure the occurrence of synchronization and asymptotic stability of the proposed methods, a sliding surface is designed and the Lyapunov direct method is used. By using integer and FO derivatives of a Lyapunov function, three different FO real and complex control laws are derived. A hybrid controller based on a switching law is designed. Its behavior is more efficient that if the individual controllers were designed based on the minimization of an appropriate cost function. Numerical simulations are implemented for verifying the effectiveness of the methods.