A novel robust fixed time synchronization of complex network subject to input nonlinearity in the presence of uncertainties and external disturbances

Abstract

This paper studies the global fixed time synchronization of complex dynamical network, including non-identical nodes with disturbances and uncertainties as well as input nonlinearity. First, a novel fixed time sliding manifold is constructed to achieve the fixed time synchronization of complex dynamical network with disturbances and uncertainties. Second, a novel sliding mode controller is proposed to realize the global fixed time reachability of sliding surfaces. The outstanding feature of the designed control is that the fixed convergence time of both reaching and sliding modes can be adjusted to the desired values in advance by choosing the explicit parameters in the controller, which does not rest upon the initial conditions and the topology of the network. Finally, the effectiveness and validity of the obtained results are demonstrated by corresponding numerical simulations.

Keywords

complex dynamical networks / fixed time / sliding mode control / synchronization / input nonlinearity / uncertainties / disturbances

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