Data-Rate and Network Coding Co-Design With Stability And Capacity Constraints

Related to Networked Control Systems, the interaction between information theory and control theory is expected to be more and more important to improve the performance of control loops closed over wireless communication networks. In this work, we consider quantized state measurements relayed to a controller via a communication network adopting the standard network coding model. We address and solve the optimal co-design of data-rate and network coding with stability and capacity constraints. We show that such problem can be formalised as a Mixed Integer Linear Program where data-rates are the continuous variables and network coding coefficients are the binary variables. We show with an illustrative example that exploiting our modeling framework and method, it is possible to stabilise control loops that cannot be stabilised using the existing methods in the literature.