Model-based control of networked distributed systems with multi-rate state feedback updates

This paper presents a model-based multi-rate control technique for stabilisation of uncertain discrete-time systems that transmit information through a limited bandwidth communication network. This model-based multi-rate approach is applied to two networked architectures. First, we discuss the implementation of a centralised control system with distributed sensing capabilities and, second, we address the problem of stabilisation of networks of coupled subsystems with distributed sensors and controllers. In both cases, we provide necessary and sufficient conditions for stability of the uncertain system with multi-rate model updates. Furthermore, we show that, in general, an important reduction of network bandwidth can be obtained using the multi-rate approach with respect to the single-rate implementations. Finally, an extension is provided that addresses restricted access to the communication channel.