Design of coupled decentralized output regulators

Abstract

Decentralized static output regulators are designed via projective controls in cases where the controllers are directly coupled, i.e. when the controls of other decision-makers appear in the local outputs. For two decision-makers, the solution is reduced to the problem of solving a general (non-square) algebraic Riccati equation. The existence and uniqueness of the solution is proved and then determined analytically. These results are then generalized to an arbitrary number of decision-makers. Finally, the possibilities of the sequential design of static and dynamic regulators for this type of decentralized information structure are investigated. A numerical example illustrates the design procedure.