Open AccessAdaptive chaos control with dead-zone and saturating input
Author(s) -
Shen Qi-Kun,
Tianping Zhang,
Yuanyuan Sun
Publication year - 2007
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.56.6263
Subject(s) - dead zone , control theory (sociology) , chaos (operating system) , chaotic , computer science , chaotic systems , tracking (education) , tracking error , adaptive control , sliding mode control , duffing equation , synchronization of chaos , class (philosophy) , stability theory , zero (linguistics) , scheme (mathematics) , control (management) , mathematics , nonlinear system , physics , mathematical analysis , artificial intelligence , psychology , pedagogy , oceanography , computer security , quantum mechanics , geology , linguistics , philosophy
The chaos tracking control problem is studied for a class of uncertain time-delay chaotic systems. Based on the principle of sliding mode control (SMC), a novel adaptive design scheme is proposed. The approach not only overcomes the drawback reported in the literature, but also removes the assumptions that the dead-zone is symmetric and the slopes are known. By theoretical analysis, it is shown that tracking error asymptotically converges to zero. Finally, simulation results of Duffing-Holmes chaotic system demonstrate the effectiveness of the proposed approach.