Modeling, analysis, and design of networked control systems using jump linear systems

Based on recent results from the literature, we give an introduction on modeling, analysis, and design of networked control systems (NCS) using a jump linear system (JILS) formulation. In particular, we consider linear, discrete-time models with a packet-switched communication channel between the sensors and the controller. We assume that the packet-delay and drop-out in the channel can be modeled with independent, identically distributed random processes or Markov chains. With this assumption, we reformulate the problem as a jump system and present both stability conditions and three different controller design algorithms. These results are taken from the literature except for one controller design procedure which is new and has the advantage of giving a fast solution at the expense of higher conservatism. Finally, all design algorithms are illustrated and compared, based on a common simulation example.