 Combining dither smoothing technique and state feedback linearization to control undifferentiable chaotic systemsHsun-Heng Tsai and Chyun-Chau Fuh Chaos, Solitons & Fractals, 2007, vol. 34, issue 3, 886-895 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. Date: 2007 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:3:p:886-895 DOI: 10.1016/j.chaos.2006.04.045 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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