Decentralized control with communication bandwidth constraints

In this chapter,we investigate the decentralized control problem in the setting of limited bandwidth sensing channels. Specifically, we consider the decentralized stabilization problem of a linear time-invariant (LTI) plant by multiple control stations that receive sensing information through rate-limited channels, and these stations are not capable of communicating with each other directly. The main result of the this chapter is a sufficient condition on the data rate of respective channels to guarantee system stabilizability. We provide an explicit way to construct the associated stabilizing encoder, decoder, and controller. We also present a robustness analysis showing that this control algorithm is structurally robust against model mismatch.