Sparse control and compressed sensing in networked switched systems

Abstract

In this study, the authors study the problems of sparse control and data transmission for network switched control systems. First, the networked control system is modelled as switched control systems. The new stability criterion and stabilisation criterion are presented based on a sparse control design methodology and the Lyapunov stability theory. Then, according to the structure of the systems, data transmission through the unreliable network from sensors to the controller becomes unavoidable. In the transmission, real-time compressed sensing (CS) is effectively employed, which can reduce the size of transfer data and increase the reliability of data transmission. The controller design method and the CS approach are very effective, which have been explained and verified via simulation studies.