Optimal power‐constrained control of distributed systems with information constraints

Abstract

This paper is concerned with a special case of stochastic distributed optimal control, where the objective is to design a structurally constrained controller for a system subject to state and input power constraints. The structural constraints are induced by the directed communication between local controllers over a strongly connected graph. Based on the information structure present, that is, who knows what and when, we provide a control synthesis with the optimal control law consisting of two parts: one that is based on the common information between the subsystems and one that uses more localized information. The developed method is applicable to an arbitrary number of physically interconnected subsystems.