Stabilization of LTI systems via state feedback over digital block-fading channels

This paper studies the state feedback stabilization of LTI plants over wireless block-fading channels. The packet-loss rate of each channel depends on power level and packet length used for transmission as well as channel power gain. Different from the case of fixed packet-loss rate, the packet-loss rate considered in this paper is random and time-varying as the channel power gain is so for wireless communication. When power level and packet length are assumed to be time-invariant for every transmission at each channel, necessary and sufficient conditions for mean square stabilizability via state feedback are given in terms of the unstable poles of the plant. The performance defined as the asymptotic mean square norm of the system state is also discussed for the scalar case.