Abstract
This paper proposes a novel control strategy for the synchronization of network systems. The designed distributed controllers adopt the communication channels to exchange information. The designed controller for each heterogeneous node includes two parts: 1) the reference generator (RG) to copy the dynamics of the leader and 2) adaptive regulator (AR) to achieve synchronization purpose. Under the action of sampled-data control law, outputs of all RGs converge to the output of the leader. The closed-loop system of the leader and all RGs are be equivalently written as the interaction of an operator and a linear time-invariant system. The small gain theorem is utilized to calculate the upper bound of the sampling intervals. Furthermore, the integral quadratic constraints can provide the passivity-type property of the operator and give the less conservative results. Meanwhile, the AR can ensure that nonidentical node tracks its exosystem. Thus, all nonidentical nodes and the leader achieve output synchronization. The proposed control strategy is similar to the separation principle, which includes two steps. Finally, a numerical example is given to demonstrated the effectiveness of the proposed control strategy.
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