Robust decentralized output regulation of heterogeneous uncertain linear systems with multiple leaders via distributed adaptive protocols

In the current paper we consider the robust decentralized output regulation of heterogeneous uncertain linear systems with multiple leaders. A novel class of distributed observers is proposed. The states of the distributed observers synchronize to the states of their leaders, respectively. In contrast to the existing results, we consider a more general class of systems and furthermore we utilize the adaptive protocols to estimate the coupling weights between neighboring agents online. Therefore the observers and internal model based control laws can be designed in a purely distributed way, i.e., without knowledge of the associated matrix of the network topology. Finally we apply the proposed methods to solve the synchronization problem of a group of RLC networks and the simulation results show the effectiveness of the methods.

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