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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/23795

Title: Combining dither smoothing technique and state feedback linearization to control undifferentiable chaotic systems
Authors: Hsun-Heng Tsai;Chyun-Chau Fuh
Contributors: NTOU:Department of Mechanical and Mechatronic Engineering
Date: 2007-11
Issue Date: 2011-10-20T08:08:17Z
Publisher: Chaos, Solitons & Fractals
Abstract: Abstract:State feedback linearization is a crucial control approach for chaotic systems. However, the linearization method requires the dynamical equations to be sufficiently smooth. Consequently, inherent nonlinearities in the form of nondifferentiable functions are usually excluded when modeling the system in order to permit the use of the feedback linearization method. However, the resulting model mismatch causes the overall system to suffer from problems of control accuracy and closed-loop stability. These drawbacks may be overcome to a certain extent by the injection of an external signal, i.e. by applying the so-called dither smoothing technique. In this approach, the original inherent nonlinearities are modified (i.e. smoothed) by injecting a high-frequency signal, generating so-called equivalent nonlinearities in their place. In other words, the dither smoothing technique enables the state feedback linearization method to be applied to chaotic systems involving undifferentiable nonlinearities. This study presents the application of the dither smoothing technique to a chaotic circuit in order to demonstrate the proposed strategy.
Relation: 34(3), pp.886–895
URI: http://ntour.ntou.edu.tw/handle/987654321/23795
Appears in Collections:[機械與機電工程學系] 期刊論文

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