Feedback stabilization of linear dynamic systems with multirate sampled output

In this paper a new feedback control technique called multirate sampled output feedback is introduced and investigated in the context of finite-dimensional and infinite-dimensional linear control systems. This control technique has three outstanding properties: the feedback gain function which transforms sampled output information into a control function is independent of the choice of the sample sequence, the sample sequence may be chosen randomly, and the gain function values are only needed on a finite interval (they can be reused cyclicly as in the case of periodic output feedback). It is shown that linear control systems satisfying certain rather weak assumptions can be stabilized by multirate sampled output feedback. An algorithm is presented for designing multirate sampled output feedback controls.