Open AccessAdaptive synchronization and parameter identification for Lorenz chaotic system with stochastic perturbations
Author(s) -
Dawei Zhu,
Lilan Tu
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.050508
Subject(s) - synchronization (alternating current) , adaptive control , control theory (sociology) , computer science , chaotic , lyapunov stability , stochastic process , perturbation (astronomy) , lorenz system , lyapunov function , mathematics , control (management) , physics , nonlinear system , statistics , artificial intelligence , computer network , channel (broadcasting) , quantum mechanics
In this paper, Lorenz chaotic system with stochastic perturbation and unknown parameters is investigated, in which the stochastic perturbations is one-dimensional random process of the standard Wiener. Based on stochastic Lyapunov stability theory, It formula and adaptive control method combined with three adaptive control laws and two adaptive control laws respectively, two mean square Asymptotic adaptive synchronization standards are put forward theoretically. These new standards are in a simple form and easy to deal with. Moreover, with these standards, not only drive system with stochastic perturbations can be synchronized with the respond system, but also unknown parameters in the system can be identified. Finally, the Matlab numerical simulations confirm that the proposed results are correct and effective.