Asymptotical stabilisability of networked control systems: time-delay switched system approach

The authors focus on investigating the asymptotical stabilizability of networked control systems (NCSs) with communication constraints. The basic idea is to model such NCSs as a discrete-time-switched system with control input time-delay. Thus, the asymptotical stabilisability of such NCSs can be reduced to that of time-delay-switched systems. Sufficient conditions are presented about the stabilisation of NCSs. Stabilising switched state/output feedback controllers can be constructed by solving a set of linear matrix inequalities (LMIs), which can be easily tested with efficient LMI algorithms. The advantage is that the behaviour of NCSs can be studied by considering time-delay-switched systems without augmenting the system dimension. The results complement those of Lin et al. about asymptotical stabilisation of NCSs. A numerical example is given to illustrate the results.