The use of a lower sampling rate for designing a discrete-time state feedback-based controller fails to capture information of fast states in a two-time-scale system,while the use of a higher sampling rate increases the amount of computation considerably.Thus,the use of single-rate sampling for systems with slow and fast states has evident limitations.In this paper,multirate state feedback(MRSF) control for a linear time-invariant two-time-scale system is proposed.Here,multirate sampling refers to the sampling of slow and fast states at different sampling rates.Firstly,a block-triangular form of the original continuous two-time-scale system is construc-ted.Then,it is discretized with a smaller sampling period and feedback control is designed for the fast subsystem.Later,the system is block-diagonalized and equivalently represented into a system with a higher sampling period.Subsequently,feedback control is de-signed for the slow subsystem and overall MRSF control is derived.It is proved that the derived MRSF control stabilizes the full-order system.Being the transformed states of the original system,slow and fast states need to be estimated for the MRSF control realization.Hence,a sequential two-stage observer is formulated to estimate these states.Finally,the applicability of the design method is demon-strated with a numerical example and simulation results are compared with the single-rate sampling method.It is found that the pro-posed MRSF control and observer designs reduce computations without compromising closed-loop performance.