Stabilization of networked multi-input systems over a shared bus with scheduling/control co-design

In this paper, we study the stabilization of a continuous-time networked multi-input system over a shared communication bus modeled as a fading channel. Transmission scheduling of the control inputs has to be performed so that only one input signal is transmitted through the channel at one time. We aim at finding the minimum channel capacity rendering state feedback stabilization possible. The main novelty of this work lies in the idea of scheduling/control co-design which suggests that the transmission scheduling should be designed simultaneously with the controller design. By virtue of such co-design, a nice analytic solution is obtained for the minimum channel capacity required for stabilization given in terms of the topological entropy of the plant. A numerical example is provided to illustrate how the scheduling/control co-design is carried out to stabilize the networked system.