A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems | Zendy

Ricardo AguilarLópez | Zendy; Juan L. Mata-Machuca | Zendy

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A New Finite-Time Observer for Nonlinear Systems: Applications to Synchronization of Lorenz-Like Systems

Author(s) -

Ricardo AguilarLópez,

Juan L. Mata-Machuca

Publication year - 2016

Publication title -

the scientific world journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.453

H-Index - 93

eISSN - 2356-6140

pISSN - 1537-744X

DOI - 10.1155/2016/8342089

Subject(s) - synchronization (alternating current) , computer science , observer (physics) , control theory (sociology) , convergence (economics) , nonlinear system , lorenz system , state observer , chaotic , chaotic systems , frame (networking) , synchronization of chaos , scheme (mathematics) , control (management) , mathematics , artificial intelligence , physics , computer network , telecommunications , channel (broadcasting) , mathematical analysis , quantum mechanics , economics , economic growth

This paper proposes a synchronization methodology of two chaotic oscillators under the framework of identical synchronization and master-slave configuration. The proposed methodology is based on state observer design under the frame of control theory; the observer structure provides finite-time synchronization convergence by cancelling the upper bounds of the main nonlinearities of the chaotic oscillator. The above is showed via an analysis of the dynamic of the so called synchronization error. Numerical experiments corroborate the satisfactory results of the proposed scheme.

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