Pole assignment of multirate digital control systems with decentralized structure

Based on the lifting technique, the paper first proposes a linear time invariant state space description of multirate sampling digital control systems with decentralized structure. Pole assignment of the decentralized multirate sampling digital control system is then discussed. The constraints due to the non-classical information pattern of the decentralized structure and the casual condition due to multirate sampling have posed structure constraints on the considered controller. It is pointed out that these constraints can be met by prefixing some elements in the controller gain matrices. Finally, an algorithm is proposed to compute the pole assignment controller.