Output Synchronization and $L_{2}$ -Gain Analysis for Network Systems

A novel control strategy for the output synchronization and <inline-formula> <tex-math notation="LaTeX">${L_{2}}$ </tex-math></inline-formula> analysis of network systems is presented in this paper. Nodes in the heterogeneous network have nonidentical dynamics. The designed distributed controller contains reference generator to copy the dynamics of the target trajectory and robust regulator (RG) to achieve synchronization purpose. All RGs adopt the network communication channels to exchange system information. The distributed control law is calculated on static output feedback and ensure outputs of RGs converges to the target trajectory. Meanwhile, each nonidentical node tracks its RG with <inline-formula> <tex-math notation="LaTeX">${L_{2}}$ </tex-math></inline-formula> performance index. The controller design strategy is presented in the obtained necessary and sufficient conditions. Finally, the effectiveness of the controller design strategy is demonstrated by a numerical example.