Controller design of multi-subsystem with limited communication

This paper considers stability and stabilization of multiple networked control systems (NCSs) with node devices acting over a limited communication channel. We are particularly interested in the case that only one subsystem can access the network to transmit it´s state information at a time. Stability of multiple NCSs with packet transmitted in a periodic manner is closely related to periodically switched systems. Sufficient conditions on stability and stabilization of multiple NCSs are presented. Static output feedback controllers can be constructed in terms linear matrix inequalities. Finally, a numerical example is given to show that multiple NCSs can be stabilized with part of state information transmitted over the network channel.