On separation principle for a class of networked control systems

In this contribution, we investigate a class of observer-based discrete-time networked control systems (NCSs) with random packet dropouts occurring independently in both the sensor-to-controller (S/C) and controller-to-actuator (C/A) channels. We first propose and prove a separation principle for the general class of NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively. We then derive necessary and sufficient conditions, in terms of linear matrix inequalities, for synthesis of stabilisation control of a class of NCSs where the C/A channel is driven by a Markov chain while the S/C channel is driven by a Bernoulli process. A numerical example is provided to illustrate the effectiveness of our proposed method.