Encoder, controller and decoder design of jump linear systems over jump communication channels

In this work, we focus on the encoder, decoder, and controller design for jump linear systems over jump communication channels. The plant state information (PSI) and the channel state information (CSI) are assumed to be known at the both transmitter and the receiver ends. Both the PSI and the CSI are governed by a finite state Markov chain. The control and communication system is designed for the general vector observations over two different channels. One is assumed to be a vector channel, and the other one is a scalar channel. We design the optimal encoder, controller and decoder for both channels and the design scheme achieves the desired distortion. The rate distortions for both cases are also computed.