An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter
Author(s) -
Ping Zhou,
Rui Ding
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/521549
Subject(s) - control theory (sociology) , chaotic , tracking (education) , chaotic systems , process (computing) , signal (programming language) , mathematics , integer (computer science) , fractional calculus , adaptive control , order (exchange) , computer science , control (management) , artificial intelligence , psychology , pedagogy , finance , economics , programming language , operating system
An adaptive tracking control scheme is presented for fractional-order chaotic systems with uncertain parameter. It is theoretically proved that this approach can make the uncertain parameter fractional-order chaotic system track any given reference signal and the uncertain system parameter is estimated through the adaptive tracking control process. Furthermore, the reference signal may belong to other integer-orders chaotic system or belong to different fractional-order chaotic system with different fractional orders. Two examples are presented to demonstrate the effectiveness of the proposed method
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