Robust Control Over Uncertain Communication Channels

In this paper, the mathematical framework for studying robust control over uncertain communication channels is introduced. The theory is developed by generalizing the classical information theoretic measures of information and the fundamental theory of Shannon to the robust analog, which are subject to uncertainty in the source and the communication channel. By invoking this mathematical framework, necessary conditions are presented for robust stabilizability and observability of fully-observed, finite dimensional, discrete-time invariant, noiseless uncertain linear systems over uncertain communication channels