Large-scale discrete systems : a two-level optimization scheme†

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Abstract
Design of controllers for large-scale systems often requires methods based on decomposition and decentralization to overcome the twin problems of high dimensionality and constraints on the information structure. In this paper a two-level control scheme that effectively utilizes these methods for the optimization of large-scale discrete systems is presented. Decentralized controllers that optimize individual decoupled subsystems while ignoring the interactions constitute a set of local controllers at the first level, while a global controller at a higher hierarchical level is used to minimize the suboptimality of performance resulting due to the presence of the interactions. Such a control scheme is robust, simple to implement and guarantees global asymptotic stability of the overall system.

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