Control of jump linear systems over jump communication channels - Source-channel matching approach

Abstract

The control of partially observed jump linear systems over jump communication channels is investigated when the Plant State Information (I*SI) and the Channel Slate Information (CSI) are present at the transmitter and the receiver side of the communication channel. The PSI refers to the state of a Markov chain driving the plant dynamics, while the CSI is the state of a Markov chain driving the communication channel. Necessary conditions for observability and stabilizabilily in probability and r-th mean are derived by using information transmission theorem and Shannon's lower bound on the rate distortion. Rased on the source-channel matching principle, a transmission technique is designed that achieves observability and slabilizabilily of the controlled jump system in mean-square sense. ©2007 IEEE.