DECENTRALIZED CONTROLLER-DESIGN OF INTERCONNECTED SYSTEMS WITH H-INFINITY AND VARIANCE CONSTRAINTS

The problem of disturbance attenuation and covariance assignment for a n interconnected system using decentralized controls is addressed. We solve the H-infinity and variance constraints using the Riccati equati on approach. To achieve the specified upper boundaries of disturbance attenuation and state covariance, a condition which ensures the existe nce of local controllers is derived. The entire, set of state covarian ces which may be assigned to each subsystem by local state feedback is characterized and all corresponding local state feedback controllers are derived. Complete solutions to the decentralized controller design of interconnected systems with H-infinity and variance constraints ar e achieved merely by iteratively solving a set of local algebraic Ricc ati equations.