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All Journal International Journal of Robotics and Control Systems
Giuseppe Fedele
University of Calabria
Control & Systems Engineering Electrical & Electronics Engineering

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Invariant Ellipsoids Method for Chaos Synchronization in a Class of Chaotic Systems Giuseppe Fedele
International Journal of Robotics and Control Systems Vol 2, No 1 (2022)
Publisher : Association for Scientific Computing Electronics and Engineering (ASCEE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31763/ijrcs.v2i1.533

Abstract

This paper presents an invariant sets approach for chaos synchronization in a class of master-slave chaotic systems affected by bounded perturbations. The method provides the optimal state-feedback gain in terms of the minimal ellipsoid that guarantees minimum synchronization error bound. The problem of finding the optimal invariant ellipsoid is formulated in terms of a semi-definite programming problem that can be easily solved using various simulation and calculus tools. The effectiveness of the proposed criterion is illustrated by numerical simulations on the synchronization of Chua's systems.
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