Adaptive LQ control over differentiated service lossy networks

In the last years several solutions of the linear quadratic optimal control problem for networked control systems appeared in literature. This paper extends one of these approaches by introducing the presence of transmission options offering different probabilities of packet drop. The motivation for combining network Quality-of-Service and control design is based on the observation that not all data traveling on the network have the same importance. This means that some data must be accurately protected (by using a high-priority service) whereas other data can be lost without major effects. Following this approach, we formally demonstrate that it is possible to jointly design both the control and the transmission strategy. The solution of this control/network co-design problem is based on standard dynamic programming for the control part and integer linear programming for the network part.