Signal synchronization transmission within uncertain quantum network based on the differential–integral sliding mode technique

A new scheme is proposed for the synchronization transmission of the chaotic signals within a quantum network composed of the Dicke models with uncertain parameters. Considering that the chattering occurrence in the existing sliding mode control technique due to the general sliding mode surface is only dependent on the error variables, we put forward the novel design strategy of the sliding mode surface which is not only related to the error variables, but also the element of differential–integral is added into the sliding mode surface, which enables the synchronization transmission technique can flexibly adjust the speed of synchronous transmission and eliminate the chattering phenomenon during the synchronous transmission of quantum chaotic signal. The simulation results illustrate that the quantum signal from a single Dicke chaotic system can be transmitted synchronously among all nodes within the designed network with arbitrary topology and node number, and simultaneously the uncertain parameters belonging to the Dicke chaotic systems are also accurately identified, indicating that the design of the signal synchronization transmission controller and the identification law of the uncertain parameters based on the modified sliding mode technique proposed in this work are reasonable and feasible.