Robust synchronization of different coupled oscillators: Application to antenna arrays
نویسندگان
چکیده
This paper treats the synchronization of a chain of non linear and uncertain model of non identical oscillators. Using the Lyapunov theory of stability, a dynamical controller guarantying the oscillators synchronization is determined. The problem of synchronization is transformed in a problem of asymptotic stabilization for a nonlinear system and then is formulated as a system of linear matrix inequalities where the parameter variations of the two oscillators and their differences are modeled by polytopic matrices. The theoretical result is successfully applied to an array of transistor-based oscillators used in "smart antenna" systems.
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