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This paper proposes a distributed design method of controllers having aglocal (global/local) information structure for large-scale network systems.Distributed design, independent design of all subcontrollers that constitute astructured controller, facilitates scalable controller synthesis. Whileexisting distributed design methods confine attention to the decentralized ordistributed information structures, this study addresses distributed design ofglocal-structured controllers. Glocal control exploits the nature that networksystem's behavior can typically be represented as a superposition of spatiallylocal fluctuations and global interarea oscillations by incorporating a globalcoordinating subcontroller with local decentralized subcontrollers. The keyidea to distributed design of glocal controllers is to represent the originalnetwork system as a hierarchical cascaded system composed of reduced-ordermodels representing the global and local dynamics, referred to as hierarchicalmodel decomposition. Distributed design is achieved by independently designingand implementing subcontrollers for the reduced-order models while preservingthe cascade structure. This paper provides a condition for existence of thehierarchical model decomposition, a specific representation of the hierarchicalsystem, a clustering method appropriate for the proposed approach, and a robustextension. Numerical examples of a power grid evidence the practical relevanceof the proposed method.

Distributed Design of Glocal Controllers via Hierarchical Model Decomposition