Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems

Maolin Jin and Pyung Hun Chang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2672-2680

Abstract: This work presents two simple and robust techniques based on time delay estimation for the respective control and synchronization of chaos systems. First, one of these techniques is applied to the control of a chaotic Lorenz system with both matched and mismatched uncertainties. The nonlinearities in the Lorenz system is cancelled by time delay estimation and desired error dynamics is inserted. Second, the other technique is applied to the synchronization of the Lü system and the Lorenz system with uncertainties. The synchronization input consists of three elements that have transparent and clear meanings.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2672-2680

DOI: 10.1016/j.chaos.2008.09.055

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