Open AccessDynamic characteristics analysis of time-delay fractional order dynamic system
Author(s) -
Jun Dong,
Yanjun Xiao,
Meilong Hu,
Guangjun Zhang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1634/1/012105
Subject(s) - control theory (sociology) , controller (irrigation) , attractor , nonlinear system , lorenz system , chaotic , fractional order system , control of chaos , limit (mathematics) , mathematics , order (exchange) , computer science , fractional calculus , control (management) , synchronization of chaos , mathematical analysis , physics , quantum mechanics , artificial intelligence , agronomy , biology , finance , economics
In this paper, a kind of time-delay fractional order dynamic system is studied. The classical integral sliding mode control method is used to design a single controller to control the time-delay fractional order Liu system from chaos to fixed point, and the single controller is further designed to control the time-delay fractional order Liu system from chaotic attractor to limit loop, so the chaos control of time-delay fractional order nonlinear dynamic system is achieved. On that basis, the dynamic characteristics of the time-varying delayed fractional-order Lorenz system are analyzed by the simulation, and the chaotic phenomena of the time-varying delayed fractional-order Lorenz system are verified under the provided time delay and order.