D-stability and disturbance attenuation properties for networked control systems: switched system approach

Abstract

Both D-stability and finite L2-gain properties are studied for a class of uncertain discrete-time systems with time-varying network-induced delays. By using coordinate transform and delay partition, the D-stability and H ∞ performance problems for such networked control systems (NCSs) are equivalently transferred into the corresponding problems for switching systems with arbitrary switching. Then, a sufficient condition for the existence of the robust D-stabilizing controllers is derived in terms of linear matrix inequality (LMI), and the design method is also presented for the state feedback controllers which guarantee that all the closed-loop poles remain inside the specified disk D(α, r) and the desired disturbance attenuation level. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.