Abstract
In this chapter, a sliding-mode observer is proposed for the synchronization problem. This observer presents a simple structure that contains a pure sliding-mode term that turns out to be robust against output noises as well as sustained disturbances, while the slave system is a pure sliding-mode observer. Comparisons with two other model-based observers, the Thau observer and Bestle–Zeitz observer, are proposed. In this chapter, we use differential-geometric techniques. The performance of these observers is shown by the examples of the Lorenz system and Chua’s circuit.
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Martínez-Guerra, R., Pérez-Pinacho, C.A., Gómez-Cortés, G.C. (2015). A Model-Free Sliding Observer to the Synchronization Problem Using Geometric Techniques. In: Synchronization of Integral and Fractional Order Chaotic Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-15284-4_3
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DOI: https://doi.org/10.1007/978-3-319-15284-4_3
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