Reduced-order synchronization of uncertain chaotic systems via adaptive control

We consider the coupling of two uncertain dynamical systems with dieren t order using an adaptive feedback linearization controller to achieve reduced-order synchronization between the two systems. Reduced-order synchronization is the problem of synchronization of a slave system with projection of a master system. The synchronization scheme is an exponential linearizinglike controller and a state/uncertainty estimator. As an illustrative example, we show that dynamical evolution of second-order driven oscillator can be synchronized with the canonical projection of a fourth-order chaotic system. Simulation results indicated that the proposed scheme can signican tly improve the synchronousness performance. These promising results justify the usefulness of the proposed output feedback controller in the application of secure communication.

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