Model-Based Control using a lifting approach

In this paper, discrete-time Model-Based Networked Control Systems (MB-NCS) are studied. A lifting process is applied to a general MB-NCS configuration in which the controller is connected to the actuator and plant by means of a digital communication network resulting in a multirate system; the controller is updated every nT time units while the plant is updated every mT time units. Here, necessary and sufficient conditions for asymptotic stability are derived in terms of the parameters n and m. The lifting process is also applied to the MB-NCS configuration when only sensor data is sent over the network. In both cases a Linear Time-Invariant (LTI) system is obtained after applying lifting techniques. Necessary and sufficient conditions are given for the asymptotic stability of the system with instantaneous feedback in terms of h, the periodic update constant, and in terms of h and τ for the intermittent feedback case, where τ is the time interval in which the loop remains closed.